







 
   
     
       
         The mariner's everlasting almanack wherein is set down diverse motions of the moon, with rules and tables for finding her age every day, and when she cometh to the meridian, also the time of her true rising and setting, fully examplified and proved, together with everlasting tyde-tables, containing the true ebbings and flowings throughout the most part of the sea-ports and towns in Europe ... / by Iohn Forbes.
         Forbes, John.
      
       
         
           1681
        
      
       Approx. 119 KB of XML-encoded text transcribed from 28 1-bit group-IV TIFF page images.
       
         Text Creation Partnership,
         Ann Arbor, MI ; Oxford (UK) :
         2006-06 (EEBO-TCP Phase 1).
         A24240
         Wing A1704
         ESTC R27677
         10121556
         ocm 10121556
         44516
         
           
            This keyboarded and encoded edition of the work described above is co-owned by the institutions providing financial support to the Early English Books Online Text Creation Partnership. This Phase I text is available for reuse, according to the terms of
             Creative Commons 0 1.0 Universal
            . The text can be copied, modified, distributed and performed, even for commercial purposes, all without asking permission.
          
        
      
       
         Early English books online.
      
       
         (EEBO-TCP ; phase 1, no. A24240)
         Transcribed from: (Early English Books Online ; image set 44516)
         Images scanned from microfilm: (Early English books, 1641-1700 ; 1374:1)
      
       
         
           
             The mariner's everlasting almanack wherein is set down diverse motions of the moon, with rules and tables for finding her age every day, and when she cometh to the meridian, also the time of her true rising and setting, fully examplified and proved, together with everlasting tyde-tables, containing the true ebbings and flowings throughout the most part of the sea-ports and towns in Europe ... / by Iohn Forbes.
             Forbes, John.
          
           
             The second edition, much corrected and enlarged.
          
           53 p. : ill.
           
             Printed by the author,
             Aberdeen :
             1681.
          
           
             Reproduction of original in the British Library.
          
        
      
    
     
       
         Created by converting TCP files to TEI P5 using tcp2tei.xsl, TEI @ Oxford.
         Re-processed by University of Nebraska-Lincoln and Northwestern, with changes to facilitate morpho-syntactic tagging. Gap elements of known extent have been transformed into placeholder characters or elements to simplify the filling in of gaps by user contributors.
      
       
         EEBO-TCP is a partnership between the Universities of Michigan and Oxford and the publisher ProQuest to create accurately transcribed and encoded texts based on the image sets published by ProQuest via their Early English Books Online (EEBO) database (http://eebo.chadwyck.com). The general aim of EEBO-TCP is to encode one copy (usually the first edition) of every monographic English-language title published between 1473 and 1700 available in EEBO.
         EEBO-TCP aimed to produce large quantities of textual data within the usual project restraints of time and funding, and therefore chose to create diplomatic transcriptions (as opposed to critical editions) with light-touch, mainly structural encoding based on the Text Encoding Initiative (http://www.tei-c.org).
         The EEBO-TCP project was divided into two phases. The 25,363 texts created during Phase 1 of the project have been released into the public domain as of 1 January 2015. Anyone can now take and use these texts for their own purposes, but we respectfully request that due credit and attribution is given to their original source.
         Users should be aware of the process of creating the TCP texts, and therefore of any assumptions that can be made about the data.
         Text selection was based on the New Cambridge Bibliography of English Literature (NCBEL). If an author (or for an anonymous work, the title) appears in NCBEL, then their works are eligible for inclusion. Selection was intended to range over a wide variety of subject areas, to reflect the true nature of the print record of the period. In general, first editions of a works in English were prioritized, although there are a number of works in other languages, notably Latin and Welsh, included and sometimes a second or later edition of a work was chosen if there was a compelling reason to do so.
         Image sets were sent to external keying companies for transcription and basic encoding. Quality assurance was then carried out by editorial teams in Oxford and Michigan. 5% (or 5 pages, whichever is the greater) of each text was proofread for accuracy and those which did not meet QA standards were returned to the keyers to be redone. After proofreading, the encoding was enhanced and/or corrected and characters marked as illegible were corrected where possible up to a limit of 100 instances per text. Any remaining illegibles were encoded as <gap>s. Understanding these processes should make clear that, while the overall quality of TCP data is very good, some errors will remain and some readable characters will be marked as illegible. Users should bear in mind that in all likelihood such instances will never have been looked at by a TCP editor.
         The texts were encoded and linked to page images in accordance with level 4 of the TEI in Libraries guidelines.
         Copies of the texts have been issued variously as SGML (TCP schema; ASCII text with mnemonic sdata character entities); displayable XML (TCP schema; characters represented either as UTF-8 Unicode or text strings within braces); or lossless XML (TEI P5, characters represented either as UTF-8 Unicode or TEI g elements).
         
          Keying and markup guidelines are available at the
           Text Creation Partnership web site
          .
        
      
       
         
         
      
    
     
       
         eng
      
       
         
           Almanacs, English.
           Astrology -- Early works to 1800.
           Ephemerides.
        
      
    
     
        2005-11 TCP
        Assigned for keying and markup
      
        2005-11 Aptara
        Keyed and coded from ProQuest page images
      
        2006-02 Judith Siefring
        Sampled and proofread
      
        2006-02 Judith Siefring
        Text and markup reviewed and edited
      
        2006-04 pfs
        Batch review (QC) and XML conversion
      
    
  
   
     
       
         
         
         
           THE
           MARINER'S
           
             everlasting
             Almanack
          
           Wherein
           is
           set
           down
           diverse
           Motions
           of
           the
           Moon
           ,
           with
           Rules
           and
           Tables
           for
           finding
           
             Her
             Age
          
           every
           day
           ,
           and
           when
           She
           cometh
           to
           the
           Meridian
           ,
           also
           the
           time
           of
           Her
           true
           Rising
           and
           Setting
           ,
           fully
           examplified
           and
           proved
           .
           Together
           with
           Everlasting
           Tyde-Tables
           ,
           containing
           the
           true
           Ebbings
           and
           Flowings
           throughout
           the
           most
           part
           of
           the
           Sea-Ports
           and
           Towns
           in
           Europe
           As
           also
           An
           excellent
           Table
           ,
           shewing
           the
           exact
           Rising
           and
           Setting
           of
           the
           Sun
           for
           every
           five
           dayes
           ,
           with
           the
           Degrees
           propper
           to
           the
           Sun's
           place
           .
           And
           Lastly
           ,
           A
           pleasant
           Dialogue
           ,
           containing
           some
           Orthographicall
           and
           Steriographicall
           Questions
           ,
           with
           severall
           other
           usefull
           things
           ;
           most
           necessary
           for
           the
           Good
           of
           this
           NATION
           ,
           but
           more
           especially
           for
           the
           use
           of
           our
           gallant
           Seamen
           .
        
         
           Calculated
           for
           the
           Latitude
           of
           57
           Degrees
           10
           minuts
           .
           By
           
             Iohn
             Forbes
          
           Printer
           to
           BON-ACCORD
           ,
           &
           
             〈◊〉
             〈◊〉
             〈◊〉
             〈◊〉
             〈◊〉
          
           .
           The
           second
           Edition
           ,
           much
           Corrected
           and
           Enlarged
           .
        
         
           ABERDEEN
           ,
           Printed
           by
           the
           Author
           ,
           Printer
           to
           the
           TOWN
           and
           UNIVERSITIE
           ,
           Anno
           1683.
           
        
      
       
         
         
           GOD
           SAVE
           KING
           CHARLES
           .
        
         
           
             Long
             may
             HE
             Live
             ,
             and
             Reign
             ,
             with
             all
             that
             RACE
             :
          
           
             By
             Whom
             ,
             we
             doe
             enjoy
             much
             Grace
             and
             Peace
             .
          
        
         
           
             
               Insignia
               Vrbis
               abredonie
            
          
        
         
           
             Apelles
             ,
             stairing
             long
             ,
             did
             look
             upon
          
           
             The
             Learning
             ,
             Policy
             ,
             and
             Generous
             Mind
          
           
             Of
             that
             brave
             CITY
             ,
             plac'd
             'twixt
             d
             ee
             and
             DONE
             ;
          
           
             But
             how
             to
             Paint
             it
             ,
             he
             could
             never
             find
             :
          
           
             For
             still
             he
             stood
             ,
             in
             judging
             which
             of
             Three
             ,
          
           
             A
             Court
             ,
             a
             Colledge
             ,
             or
             ,
             a
             Burgh
             ,
             it
             be
             .
          
        
         
           FLOREAT
           BON-ACCORDIA
           .
        
      
       
         
         
           TO
           His
           worthy
           ,
           and
           much
           respected
           Good
           Friend
           ,
           Captain
           IOHN
           TYLER
           ,
           at
           Lieth
           .
        
         
           
             SIR
             ,
          
        
         
           HAving
           heard
           of
           your
           Fame
           ,
           and
           of
           your
           industrious
           and
           vigilant
           Endeavours
           into
           the
           
             Mathematicall
             rare
             Inventions
          
           ,
           (
           even
           in
           your
           younger
           years
           ,
           )
           and
           especially
           into
           that
           famous
           and
           noble
           
             Art
             of
             Navigation
          
           ;
           and
           that
           from
           the
           mouth
           of
           a
           Credible
           Person
           ,
           who
           was
           at
           that
           time
           a
           Teacher
           of
           the
           Mathematicks
           at
           London
           :
           have
           therefore
           made
           bold
           (
           tho
           unacquainted
           )
           to
           present
           You
           with
           a
           second
           Edition
           of
           this
           Enchiridion
           ,
           or
           ,
           
             smal
             Treatise
          
           ;
           to
           be
           sheltered
           under
           the
           Protection
           of
           Your
           Patrocinie
           :
           Whom
           ,
           (
           I
           trust
           )
           is
           able
           to
           defend
           
           and
           assist
           me
           ,
           in
           Truth
           and
           Veritie
           ,
           against
           all
           malevolent
           and
           backbiting
           Opposers
           ;
           who
           through
           their
           blind
           ignorance
           ,
           doth
           falsly
           check
           us
           of
           Truths
           ,
           and
           some
           small
           oversights
           :
           as
           may
           be
           seen
           into
           the
           Tyde-Table
           of
           Lieth
           ,
           Printed
           into
           an
           Almanack
           at
           Edinburgh
           ,
           for
           this
           present
           year
           1683
           :
           set
           forth
           by
           
             James
             Paterson
             Mathematician
          
           .
           Wherefore
           ,
           expecting
           your
           favourable
           Acceptance
           ,
           of
           this
           small
           Embryo
           ,
           which
           shall
           ere
           long
           incourage
           me
           ,
           to
           publish
           abroad
           a
           larger
           Treatise
           ,
           on
           that
           excellent
           
             Art
             of
             Navigation
          
           ,
           for
           the
           speciall
           use
           of
           all
           our
           Loyal
           brave
           Sea-men
           and
           Mariners
           ,
           whose
           painfull
           Labours
           tend
           much
           for
           the
           Good
           of
           this
           
             Ancient
             KINGDOM
          
           .
           Thus
           wishing
           You
           ,
           and
           all
           the
           Worthie
           Fraternitie
           of
           Masters
           of
           the
           Trinitie-house
           at
           Lieth
           ,
           all
           happiness
           here
           in
           this
           World
           ,
           and
           Eternall
           Mansions
           of
           Joy
           in
           the
           World
           to
           come
           :
           I
           ever
           remain
           ,
        
         
           
             SIR
             ,
          
           
             Your
             humble
             Servant
             ,
             Iohn
             Forbes
             ,
             Printer
             to
             BON-ACCORD
             .
          
        
      
    
     
       
         
         
           An
           Introduction
           to
           the
           perpetuall
           Tyde-Table
           ,
           or
           ,
           Table
           of
           Ebbing
           and
           Flowing
           ,
           in
           the
           most
           speciall
           Sea-Ports
           in
           Europe
           .
        
         
           THere
           are
           diverse
           Motions
           of
           the
           Moon
           ,
           being
           15
           in
           number
           ;
           accounted
           by
           Ricciolus
           ,
           in
           his
           
             Almagesto
             Novo
             Astronomiae
             ▪
             lib.
             4.
             cap.
          
           18.
           
        
         
           But
           here
           I
           intend
           to
           treat
           of
           those
           Motions
           that
           are
           most
           usefull
           for
           Seamen
           and
           Mariners
           ,
           according
           as
           their
           daily
           practise
           doth
           require
           .
        
         
           
             SECTION
             I.
             
          
           
             The
             first
             Motion
             of
             the
             Moon
             .
          
           
             The
             first
             motion
             of
             the
             Moon
             ,
             called
             the
             diurnall
             o●
             daily
             motion
             ,
             being
             the
             revolution
             of
             the
             Moon
             from
             the
             East
             to
             the
             West
             ,
             and
             from
             thence
             to
             the
             East
             in
             24
             houres
             ;
             or
             rather
             almost
             in
             25
             houres
             :
             so
             that
             the
             Moon
             in
             this
             motion
             is
             slowest
             of
             all
             the
             side●iall
             Bodies
             ,
             not
             following
             altogether
             the
             motion
             of
             
               Primum
               Mobile
            
             in
             24
             houres
             :
             For
             if
             the
             Moon
             be
             observed
             to
             be
             in
             Conju●ction
             with
             any
             fixed
             Star
             this
             night
             the
             next
             night
             following
             ,
             she
             shall
             be
             found
             to
             be
             distant
             from
             the
             same
             13
             
               degrees
               10
               minuts
               35
               seconds
            
             to
             which
             in
             the
             Aequator
             ,
             answereth
             to
             52
             min
             of
             time
          
           
             This
             motion
             ,
             being
             her
             propper
             middle
             motion
             i●
             longitude
             performed
             under
             the
             Zodiack
             ,
             because
             a
             formerly
             I
             have
             mentioned
             she
             performeth
             13
             degree
             
             10
             
               minuts
               35
               seconds
            
             by
             her
             middle
             motion
             ,
             which
             is
             betwixt
             the
             slow
             and
             the
             swift
             ,
             and
             passeth
             through
             the
             Zodiack
             ,
             in
             27
             
               days
               ,
               7
               hours
               ,
               43
               minuts
               :
            
             and
             this
             space
             of
             time
             ,
             is
             called
             the
             Periodicall
             moneth
             .
          
           
             But
             because
             the
             Sun
             moveth
             daily
             in
             the
             Eccliptick
             ,
             59
             
               min
               8
               sec
               .
               20
               thirds
               ,
            
             towards
             the
             East
             ,
             therefore
             the
             Suns
             motion
             being
             substracted
             from
             the
             middle
             motion
             of
             the
             Moon
             in
             Longitude
             ,
             there
             shall
             remain
             the
             distance
             of
             the
             Moon
             from
             the
             
               Sun
               ,
               12
               degrees
            
             11
             
               minuts
               26
               seconds
               41
               thirds
            
             .
          
        
         
           
             SECT
             .
             II.
             
          
           
             The
             Second
             Motion
             of
             the
             Moon
             .
          
           
             The
             Synodicall
             moneth
             ,
             or
             moneth
             of
             Conjunction
             ,
             being
             longer
             then
             the
             periodical
             Moneth
             ,
             because
             the
             Moon
             being
             in
             Conjunction
             with
             the
             Sun
             ,
             as
             admit
             ,
             in
             the
             first
             of
             Aries
             ,
             the
             Moon
             having
             prescribed
             her
             motion
             through
             the
             Zodiack
             in
             27
             
               dayes
               7
               hours
            
             43
             minuts
             ,
             doth
             not
             find
             the
             Sun
             in
             this
             point
             of
             the
             Zodiack
             ,
             because
             the
             Sun
             since
             the
             last
             Conjunction
             is
             passed
             towards
             the
             East
             ;
             therefore
             that
             there
             may
             be
             a
             Conjunction
             of
             the
             Sun
             with
             the
             Moon
             ,
             she
             is
             to
             pass
             a
             whole
             Sign
             almost
             ,
             before
             she
             can
             come
             to
             be
             in
             Conjunction
             with
             the
             Sun
             ,
             and
             this
             is
             called
             ,
             
               Lunatio
               vera
            
             .
             But
             if
             we
             have
             respect
             to
             the
             true
             motion
             ,
             the
             space
             of
             the
             middle
             Lunation
             being
             29
             dayes
             12
             hours
             ,
             the
             longest
             30
             dayes
             ,
             the
             shortest
             28
             dayes
             23
             houres
             :
             From
             hence
             it
             followeth
             ,
             that
             12
             
               Synodicall
               moneths
            
             maketh
             a
             
               Lunar
               year
            
             to
             consist
             of
             354
             
             days
             ,
             but
             the
             
               Solar
               year
            
             consisting
             of
             365
             
               days
               5
               hours
            
             4●
             minuts
             ,
             maketh
             the
             difference
             11
             days
             ,
             being
             called
             the
             Epact
             :
             which
             is
             〈◊〉
             ●●ference
             betwixt
             the
             Solar
             and
             
               Lunar
               Year
            
             .
          
        
         
           
             SECT
             .
             III.
             
          
           
             The
             third
             Motion
             of
             the
             Moon
             .
          
           
             The
             third
             motion
             is
             the
             motion
             of
             the
             Nods
             ,
             of
             the
             circle
             of
             the
             Moon
             ,
             contrare
             to
             the
             order
             of
             the
             Signs
             ;
             for
             the
             Orbite
             of
             the
             Moon
             ,
             is
             inclined
             to
             the
             plain
             of
             the
             Eccliptick
             by
             an
             Angle
             of
             5
             degrees
             in
             New
             and
             full-Moons
             ,
             or
             5
             
               deg
               .
               18
               min.
            
             in
             the
             quarters
             ,
             which
             Latitude
             of
             5
             degrees
             ,
             being
             the
             greatest
             ,
             is
             called
             ,
             the
             
               Belly
               of
               the
               Dragon
            
             ,
             because
             of
             the
             similitude
             they
             have
             with
             a
             Dragon
             or
             Serpent
             ,
             as
             is
             formed
             by
             the
             Peripherie
             of
             the
             
               Lunar
               Eccliptick
            
             with
             the
             Peripherie
             of
             the
             Orbite
             of
             the
             Moon
             ,
             the
             one
             being
             called
             the
             North
             ,
             and
             the
             other
             the
             South
             .
             The
             points
             wherein
             there
             is
             no
             Latitude
             ,
             or
             where
             the
             Orbite
             of
             the
             way
             of
             the
             Moon
             cutteth
             the
             Eccliptick
             ,
             being
             immediatly
             opposed
             ,
             are
             called
             the
             Nods
             ,
             whereof
             the
             one
             is
             called
             the
             Nothern
             and
             ascendent
             ,
             because
             to
             us
             that
             are
             to
             the
             
               North
               ward
            
             ,
             it
             is
             alwayes
             higher
             ,
             ascending
             towards
             our
             Pole
             and
             Zenith
             ,
             and
             therefore
             it
             is
             called
             
               Caput
               Draconis
            
             or
             ,
             
               head
               of
               the
               Dragon
               ,
               marked
               thus
            
             ☊
             The
             other
             Node
             or
             Intersection
             ,
             is
             called
             Southern
             descending
             ,
             or
             ,
             
               the
               Taile
               of
               the
               Dragon
               ,
               marked
               thus
            
             ☋
             These
             Nods
             or
             points
             of
             the
             intersection
             ,
             near
             about
             which
             falleth
             out
             the
             Eclipses
             
             of
             the
             Sun
             and
             Moon
             ,
             are
             observed
             to
             move
             contrare
             to
             the
             Order
             of
             the
             Signs
             ,
             the
             middle
             motion
             of
             the
             same
             being
             3
             
               minuts
               10
               seconds
               38
               thirds
            
             at
             nearest
             ,
             so
             that
             they
             will
             obsolve
             their
             period
             of
             motion
             through
             the
             Eccliptick
             ,
             about
             18
             
               years
               228
               days
               ,
               3
               hours
               ,
               50
               minuts
               .
            
             But
             according
             to
             Copernicus
             in
             18
             
               years
               ,
               223
               days
            
             6
             
               hours
               ,
               12
               minuts
            
             .
             This
             motion
             by
             some
             was
             thought
             to
             be
             equall
             ,
             but
             Tycho
             did
             find
             the
             same
             unequall
             ,
             where
             you
             are
             here
             to
             observe
             that
             your
             
               Golden
               Number
            
             ,
             is
             composed
             of
             this
             motion
             ,
             being
             the
             space
             of
             19
             years
             that
             the
             Nods
             do
             make
             their
             revolution
             in
             19
             years
             ,
             and
             how
             to
             find
             the
             same
             .
             As
             also
             the
             Epact
             ,
             whereby
             we
             may
             find
             the
             Age
             of
             the
             Moon
             .
          
        
         
           
             SECT
             .
             IV.
             
          
           
             How
             to
             find
             the
             Golden-Number
             .
          
           
             AS
             also
             ,
             to
             know
             at
             what
             time
             the
             Moon
             cometh
             to
             the
             
               Meridian
               ,
               First
            
             ,
             find
             the
             Golden-Number
             ,
             which
             is
             had
             by
             adding
             one
             to
             the
             Year
             of
             our
             Lord
             ,
             ●nd
             divyding
             the
             sume
             by
             19
             ,
             the
             remainder
             that
             rests
             over
             the
             division
             shall
             be
             the
             Golden-Number
             ;
             and
             ●he
             Quotient
             shall
             show
             how
             many
             revolutions
             are
             past
             since
             the
             
               head
               of
               the
               Dragon
            
             was
             in
             the
             first
             of
             Aries
             .
             As
             suppose
             I
             desire
             to
             know
             the
             
               Golden
               Num●er
            
             for
             the
             year
             1683
             ,
             to
             the
             which
             an
             Vnite
             being
             ●dded
             ,
             the
             sume
             is
             1684
             :
             which
             divided
             by
             19
             ,
             the
             ●emainder
             is
             12
             for
             the
             Golden-Number
             ,
             or
             12
             years
             ●re
             past
             since
             the
             
               head
               of
               the
               Dragon
            
             was
             in
             the
             first
             〈◊〉
             Aries
             ,
             and
             the
             most
             part
             of
             that
             year
             ,
             the
             same
             
             will
             remain
             in
             Leo
             ,
             and
             enters
             Cancer
             upon
             the
             29
             of
             October
             ,
             having
             performed
             88
             Revolutions
             ,
             as
             in
             the
             Quotient
             is
             evident
             .
          
        
         
           
             SECT
             .
             V.
             
          
           
             How
             to
             find
             the
             Epact
             .
          
           
             HAving
             found
             the
             Golden-Number
             ,
             the
             Epact
             may
             be
             easily
             had
             for
             this
             year
             ,
             viz.
             1683
             by
             multiplying
             the
             Golden-Number
             by
             11
             :
             (
             being
             the
             difference
             betwixt
             the
             Solar
             and
             
               Lunar
               year
            
             )
             the
             product
             is
             132
             ,
             which
             divided
             by
             30
             the
             Quotient
             is
             4
             ,
             and
             the
             remainder
             12
             ,
             which
             is
             the
             Epact
             for
             this
             year
             ,
             1683
             :
             where
             you
             are
             to
             observe
             ,
             that
             the
             Golden-Number
             beginneth
             alwayes
             the
             first
             of
             Ianuary
             ,
             and
             the
             Epact
             the
             first
             of
             March.
             
          
        
         
           
             SECT
             .
             VI.
             
          
           
             How
             to
             find
             the
             Age
             of
             the
             Moon
             .
          
           
             TO
             know
             the
             age
             of
             the
             Moon
             ,
             add
             to
             the
             Epact
             of
             that
             year
             in
             which
             you
             desire
             the
             Moons
             age
             ,
             the
             moneths
             from
             March
             inclusive
             ,
             with
             the
             dayes
             of
             the
             moneth
             ;
             and
             if
             the
             sume
             be
             less
             than
             30
             ,
             then
             the
             number
             is
             the
             age
             of
             the
             Moon
             ,
             but
             if
             the
             sume
             of
             the
             addition
             exceed
             30
             ,
             from
             the
             same
             substract
             30
             ,
             if
             the
             moneth
             have
             31
             days
             ,
             and
             if
             30
             ,
             substract
             29
             ,
             the
             remainder
             will
             be
             the
             age
             of
             the
             Moon
             :
             the
             reason
             of
             this
             substraction
             was
             to
             return
             back
             the
             11
             days
             ,
             which
             was
             the
             difference
             between
             the
             Solar
             and
             Lunar
             year
             .
             Example
             ,
             In
             the
             year
             1683
             ,
             I
             would
             
             know
             the
             Moons
             age
             the
             10
             day
             of
             August
             ,
             the
             moneth
             of
             August
             being
             the
             6th
             ,
             and
             the
             Epact
             12
             ,
             the
             days
             of
             the
             moneth
             10
             :
             these
             three
             E
             12
             M
             6
             D
             10
             added
             together
             ,
             the
             sume
             is
             28
             ,
             which
             sheweth
             the
             18
             of
             August
             ,
             to
             be
             the
             28
             day
             of
             the
             Moon
             .
             And
             again
             ,
             if
             you
             require
             the
             age
             of
             the
             Moon
             the
             28
             day
             of
             August
             ,
             these
             E
             12
             M
             6
             D
             28
             three
             numbers
             being
             added
             together
             ,
             the
             sume
             is
             46
             ,
             from
             which
             30
             being
             substracted
             (
             because
             the
             moneth
             hath
             31
             days
             )
             the
             remainder
             is
             16
             ,
             so
             that
             the
             28
             of
             August
             1683
             ,
             is
             the
             16
             day
             of
             the
             Moon
             .
             This
             way
             being
             frequently
             used
             by
             Sea-Men
             ,
             is
             not
             so
             exact
             as
             may
             be
             required
             ;
             therefore
             I
             would
             advise
             Sea-Men
             to
             take
             notice
             of
             the
             Yearly
             Almanacks
             .
          
           
             Having
             the
             age
             of
             the
             Moon
             ,
             we
             may
             know
             at
             what
             time
             she
             cometh
             to
             the
             Meridian
             by
             the
             precedent
             Rule
             ,
             where
             the
             first
             day
             ,
             or
             24
             hours
             after
             the
             Coniunction
             or
             Change
             ,
             the
             Moon
             is
             12
             degrees
             distant
             from
             the
             Sun
             ,
             in
             time
             48
             min.
             or
             3
             
               quar
               .
               3
               min.
            
             that
             ●he
             Moon
             cometh
             latter
             to
             the
             Meridian
             the
             first
             day
             ,
             and
             so
             for
             every
             day
             to
             the
             Opposition
             or
             Full-Moon
             .
             Now
             to
             know
             at
             what
             time
             the
             Moon
             cometh
             to
             the
             Meridian
             ,
             accept
             of
             this
             following
             Table
             ,
             for
             this
             and
             another
             use
             ,
             as
             shall
             follow
             .
          
           
             This
             following
             Table
             containeth
             five
             columns
             ,
             in
             ●he
             first
             and
             second
             ye
             have
             the
             Increass
             and
             Decreass
             of
             the
             Moons
             age
             ,
             as
             also
             ,
             in
             the
             third
             and
             fourth
             ,
             ●he
             hours
             and
             minuts
             that
             the
             Moon
             doth
             come
             to
             the
             
             Meridian
             :
             for
             if
             th●
             Moon
             be
             increasing
             (
             a●
             you
             may
             see
             by
             the
             letters
             Ie
             ,
             at
             the
             head
             of
             th●
             first
             column
             )
             the
             hour●
             and
             minuts
             against
             th●
             same
             ,
             is
             the
             time
             of
             the
             Moons
             coming
             to
             the
             Meridian
             in
             the
             afternoon
             .
             But
             if
             the
             Moon●
             be
             decreasing
             ,
             (
             as
             you
             may
             see
             at
             the
             head
             o●
             the
             second
             column
             ,
             by
             the
             letters
             De.
             )
             Then
             the
             houres
             and
             minuts
             sheweth
             the
             time
             of
             the
             Moons
             coming
             to
             the
             Meridian
             in
             the
             Morning
             .
          
           
             
               
                 
                   The
                   Moon
                   's
                   Age
                   ,
                
                 
                   ❍
                   Moon
                   coming
                   to
                   Meridian
                   .
                
                 
                   Moon
                   's
                   Age
                   ☽
                
              
               
                 
                   In.
                   ☽
                
                 
                   De.
                   ☽
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
              
               
                 
                   1
                
                 
                   16
                
                 
                   0
                
                 
                   48
                
                 
                   29
                
              
               
                 
                   2
                
                 
                   17
                
                 
                   1
                
                 
                   36
                
                 
                   28
                
              
               
                 
                   3
                
                 
                   18
                
                 
                   2
                
                 
                   24
                
                 
                   27
                
              
               
                 
                   4
                
                 
                   19
                
                 
                   3
                
                 
                   12
                
                 
                   26
                
              
               
                 
                   5
                
                 
                   20
                
                 
                   4
                
                 
                   00
                
                 
                   25
                
              
               
                 
                   6
                
                 
                   21
                
                 
                   4
                
                 
                   48
                
                 
                   24
                
              
               
                 
                   7
                
                 
                   22
                
                 
                   5
                
                 
                   36
                
                 
                   23
                
              
               
                 
                   8
                
                 
                   23
                
                 
                   6
                
                 
                   24
                
                 
                   22
                
              
               
                 
                   9
                
                 
                   24
                
                 
                   7
                
                 
                   12
                
                 
                   21
                
              
               
                 
                   10
                
                 
                   25
                
                 
                   8
                
                 
                   00
                
                 
                   20
                
              
               
                 
                   11
                
                 
                   26
                
                 
                   8
                
                 
                   48
                
                 
                   19
                
              
               
                 
                   12
                
                 
                   27
                
                 
                   9
                
                 
                   36
                
                 
                   18
                
              
               
                 
                   13
                
                 
                   28
                
                 
                   10
                
                 
                   24
                
                 
                   17
                
              
               
                 
                   14
                
                 
                   29
                
                 
                   11
                
                 
                   12
                
                 
                   16
                
              
               
                 
                   15
                
                 
                   30
                
                 
                   12
                
                 
                   00
                
                 
                   15
                
              
            
          
           
             Example
          
           
             The
             5
             day
             and
             the
             20
             day
             of
             the
             Moon
             ,
             I
             desire
             to
             know
             the
             Moons
             coming
             to
             the
             Meridian
             .
             I
             find
             for
             both
             these
             days
             4
             hours
             ,
             showing
             that
             the
             5
             day
             ,
             the
             Moon
             cometh
             to
             the
             Meridian
             at
             4
             
               hours
               afternoon
            
             ,
             and
             the
             20
             day
             at
             4
             hours
             in
             the
             morning
             :
             the
             columns
             of
             hours
             and
             minuts
             ,
             are
             had
             by
             multiplying
             the
             Moons
             age
             by
             4
             ,
             and
             divyding
             the
             product
             by
             5
             ,
             and
             if
             any
             remain
             over
             the
             division
             is
             the
             numerator
             of
             the
             
             fraction
             ,
             and
             for
             every
             Vnite
             account
             12
             minuts
             ,
             so
             you
             shall
             have
             the
             hours
             and
             minuts
             of
             the
             Moon
             's
             coming
             to
             the
             Meridian
             ,
             as
             in
             the
             Table
             you
             may
             find
             .
             
               As
               for
               Example
            
             ,
             the
             7
             day
             of
             the
             Moon
             ,
             I
             desire
             to
             know
             at
             what
             time
             in
             the
             afternoon
             she
             cometh
             to
             the
             Meridian
             ,
             so
             7
             multiplied
             by
             4
             the
             product
             is
             28
             ,
             which
             divyded
             by
             5
             ,
             the
             quotient
             is
             5
             hours
             ,
             and
             3
             remaining
             over
             the
             division
             giveth
             36
             minuts
             ,
             so
             that
             the
             7
             day
             ,
             the
             Moon
             cometh
             to
             the
             Meridian
             at
             5
             
               hours
               ,
               36
               minuts
            
             in
             the
             afternoon
             .
          
           
             
               Some
               Examples
            
             .
          
           
             Having
             found
             by
             the
             Rules
             or
             Table
             the
             Moons
             coming
             to
             the
             Meridian
             ,
             if
             there
             be
             any
             place
             where
             a
             
               South
               Moon
            
             maketh
             full-Sea
             as
             at
             the
             
               Isle
               of
               Wight
            
             ,
             I
             say
             that
             the
             7
             day
             of
             the
             Moon
             it
             will
             be
             Full-Sea
             ,
             or
             high
             water
             at
             that
             place
             at
             5
             
               hours
               ,
               36
               minuts
            
             .
             But
             if
             the
             flowings
             be
             to
             the
             Eastward
             ,
             then
             you
             are
             to
             substract
             3
             quarters
             of
             an
             hour
             for
             every
             point
             of
             the
             Compass
             ,
             and
             the
             remainder
             shall
             show
             you
             the
             time
             of
             high
             water
             at
             that
             place
             .
             As
             also
             ,
             I
             desire
             to
             know
             the
             time
             of
             full-Sea
             the
             7
             day
             of
             the
             Moon
             at
             Yarmouth
             where
             a
             
               South-South
               East
               Moon
            
             maketh
             full-Sea
             :
             from
             5
             
               hou
               .
               36
               min.
            
             substract
             one
             
               hou
               .
               30
               min.
            
             the
             remainder
             is
             4
             
               hou
               .
               6
               min.
            
             at
             which
             time
             it
             will
             be
             full-Sea
             at
             North-Yarmouth
             .
             Again
             ,
             if
             at
             Lieth
             ,
             where
             a
             
               South-West
               by
               South
               Moon
            
             maketh
             a
             full-Sea
             ,
             you
             are
             to
             add
             2
             
               hou
               .
               15
               min.
            
             for
             3
             points
             of
             the
             Com●ass
             (
             because
             
               Westward
               flowings
            
             )
             to
             5
             
               hou
               .
               36
               min.
            
             ●he
             sume
             shall
             be
             7
             
               hou
               .
               51
               min.
            
             at
             which
             time
             it
             will
             be
             full-Sea
             at
             Lieth
             .
          
        
         
           
           
             SECT
             .
             VII
             .
          
           
             How
             to
             find
             the
             rysing
             and
             setting
             of
             the
             Moon
             .
          
           
             LAstly
             ,
             to
             know
             at
             what
             hour
             the
             
               Moon
               setteth
            
             or
             riseth
             for
             any
             day
             of
             her
             Age
             for
             which
             purpose
             this
             small
             treatise
             was
             intended
             You
             may
             accept
             of
             the
             second
             use
             of
             this
             Table
             ,
             in
             which
             ,
             first
             you
             may
             know
             how
             long
             the
             Moon
             will
             shine
             or
             remain
             above
             the
             Horizon
             ,
             from
             the
             Conjunction
             or
             Change
             to
             the
             Full
             ,
             by
             knowing
             the
             Moons
             age
             in
             the
             first
             column
             and
             against
             the
             same
             ,
             in
             the
             third
             and
             fourth
             columns
             you
             shall
             have
             the
             hours
             and
             minuts
             that
             the
             Moon
             doth
             shine
             or
             remain
             after
             the
             
               Suns
               setting
            
             ,
             which
             being
             added
             to
             the
             setting
             of
             the
             Sun
             ,
             giveth
             the
             setting
             of
             the
             
               Moon
               ,
               Example
            
             ,
             I
             desire
             to
             know
             the
             8
             day
             of
             the
             Moon
             at
             what
             time
             she
             will
             set
             ,
             I
             find
             in
             the
             Table
             the
             8
             day
             of
             her
             age
             ,
             and
             in
             the
             third
             and
             fourth
             6
             ho.
             24
             min.
             for
             so
             long
             will
             she
             shine
             after
             the
             Sun
             setteth
             ▪
             Then
             suppose
             the
             Sun
             to
             set
             at
             5
             hours
             in
             the
             afternoon
             ,
             which
             being
             added
             to
             6
             
               hou
               .
               24
               min.
            
             the
             sume
             shall
             show
             the
             time
             of
             her
             setting
             ,
             at
             11
             
               hou
               .
               24
               min.
            
             at
             night
             .
             For
             the
             Moons
             rysing
             after
             the
             opposition
             or
             full
             ,
             look
             for
             the
             Moons
             age
             in
             the
             second
             column
             and
             the
             hou
             .
             and
             min
             answering
             ,
             being
             substracted
             from
             12
             hou
             .
             giveth
             the
             hou
             .
             and
             min.
             that
             the
             Moon
             ryseth
             before
             the
             Sun
             ;
             which
             being
             substracted
             from
             the
             Suns
             rysing
             ,
             giveth
             the
             time
             of
             the
             Moons
             rysing
             .
             
               For
               Example
            
             ,
             The
             17
             day
             of
             the
             Moon
             ,
             I
             find
             answering
             1
             
               hour
               ,
               36
               minuts
            
             ,
             which
             being
             substracted
             from
             12
             the
             
             remainder
             is
             10
             
               hou
               .
               24
               min.
            
             that
             the
             Moon
             will
             rise
             before
             the
             Sun
             ,
             so
             that
             the
             Moon
             shineth
             10
             hou
             .
             24
             min.
             in
             the
             morning
             before
             the
             Sun
             ryse
             ,
             and
             the
             
             Sun
             ●he
             same
             day
             rysing
             at
             7
             
               a
               clock
               ,
               36
               min.
            
             whereunto
             ●f
             I
             add
             12
             hou
             .
             else
             the
             substraction
             cannot
             be
             made
             ,
             ●nd
             it
             maketh
             19
             
               hou
               .
               36
               min
            
             :
             from
             which
             10
             hours
             24
             minuts
             being
             substracted
             ,
             there
             resis
             9
             
               hou
               .
               12
               min.
            
             ●t
             which
             time
             the
             Moon
             ryseth
             before
             midnight
             ,
             but
             ●or
             saving
             a
             substraction
             ,
             I
             have
             added
             the
             fifth
             co●umn
             ,
             and
             against
             the
             dayes
             of
             the
             Moons
             age
             you
             ●ave
             the
             complement
             of
             the
             hou
             .
             and
             min.
             to
             12
             ,
             and
             ●o
             one
             substraction
             will
             serve
             .
             The
             reason
             of
             this
             Table
             was
             had
             from
             Plinius
             ,
             in
             his
             
               lib.
               8.
               cap.
            
             12
             ,
             ●nd
             from
             others
             as
             is
             mentioned
             by
             Ricciolus
             in
             his
             ●stronomie
             ,
             
               lib.
               4.
               cap.
               4
               Prob.
            
             12.
             
             Which
             Rule
             although
             not
             exact
             ,
             yet
             may
             serve
             for
             vu●gar
             use
             ,
             for
             ●s
             the
             Learned
             Kepler
             doth
             observe
             concerning
             this
             Rule
             of
             Plinius
             ,
             that
             ,
             
               Medium
               inter
               ejus
               enormia
               tenet
            
             .
          
           
             A
             more
             exact
             and
             certain
             way
             may
             be
             had
             for
             the
             ●ime
             of
             rysing
             and
             setting
             of
             the
             Moon
             :
             by
             knowing
             ●he
             place
             of
             the
             Moon
             in
             the
             Ecliptick
             ,
             which
             being
             ●ad
             for
             the
             time
             you
             require
             the
             Moons
             rysing
             and
             ●etting
             ,
             you
             are
             to
             apply
             your self
             to
             the
             last
             Table
             of
             the
             Suns
             rysing
             and
             setting
             ,
             and
             there
             finding
             the
             ●ign
             and
             Degree
             the
             Moon
             is
             into
             at
             the
             time
             required
             ,
             ●r
             when
             the
             Moon
             cometh
             to
             the
             Meridian
             ,
             by
             the
             ●●rst
             Table
             ,
             with
             the
             Signs
             and
             Degrees
             :
             then
             looking
             ●or
             the
             Suns
             setting
             being
             in
             the
             same
             signe
             and
             de●ree
             ,
             which
             being
             substracted
             from
             her
             coming
             to
             
             the
             Meridian
             ,
             giveth
             the
             time
             of
             the
             Moons
             rysing
             :
             and
             being
             added
             giveth
             the
             time
             of
             her
             setting
             ,
             als●
             which
             shall
             be
             evident
             by
             the
             following
             Examples
             for
             which
             purpose
             I
             have
             added
             a
             second
             Table
             shewing
             the
             Moons
             motion
             in
             
               signs
               ,
               degrees
            
             ,
             and
             minuts
             ,
             for
             every
             day
             and
             hour
             of
             her
             Age.
             
          
           
             Observing
             the
             12
             Signs
             with
             their
             marks
             ,
             and
             respective
             moneths
             ,
             the
             first
             6
             being
             N.
             Northern
             and
             the
             last
             S.
             Southern
             :
             also
             ,
             there
             are
             12
             words
             in
             a
             verse
             ,
             for
             the
             12
             moneths
             ,
             each
             of
             them
             beginning
             with
             a
             vowel
             ,
             except
             the
             last
             ,
             (
             P.
             )
             in
             Paradice
             ,
             a
             consonant
             being
             for
             February
             ,
             and
             signifying
             the
             8
             day
             of
             February
             that
             the
             ☉
             Sun
             will
             enter
             ♓
             
             Pisces●
             ●or
             the
             rest
             add
             the
             number
             of
             the
             beginning
             vowel
             of
             each
             word
             to
             8
             ,
             the
             sume
             shall
             be
             the
             day
             of
             the
             moneth
             that
             the
             ☉
             Sun
             entereth
             the
             respective
             sign
             ,
             as
             E
             in
             Evil
             ,
             being
             the
             second
             vowel
             ,
             with
             8
             giveth
             10
             the
             day
             of
             March
             the
             Sun
             entereth
             ♈
             Aries
             ;
             as
             also
             ,
             O
             ,
             in
             Objects
             being
             the
             4
             vowel
             added
             to
             8
             is
             12
             ,
             shewing
             the
             Sun
             to
             enter
             ♋
             Cancer
             the
             12
             of
             Iune
             ,
             and
             so
             accordingly
             in
             all
             the
             rest
             .
          
           
             
               
                 The
                 six
                 Northern
                 Signes
                 .
              
               
                 
                   March
                   ,
                
                 
                   April
                   ,
                
                 
                   May
                   ,
                
                 
                   Iune
                   ,
                
                 
                   Iuly
                   ,
                
                 
                   August
                   ,
                
              
               
                 
                   ♈
                   Aries
                
                 
                   ♉
                   Taurus
                
                 
                   ♊
                   Gemini
                
                 
                   ♋
                   Cancer
                
                 
                   ♌
                   Leo
                
                 
                   ♍
                   Virgo
                   ,
                
              
               
                 
                   2
                   Evil
                
                 
                   1
                   attends
                
                 
                   3
                   its
                
                 
                   4
                   object
                   ,
                
                 
                   5
                   unvailed
                
                 
                   5
                   vice
                   ,
                
              
            
             
               
                 The
                 six
                 Southern
                 Signes
                 .
              
               
                 
                   Septem
                   .
                
                 
                   Octo.
                   
                
                 
                   Novem.
                   
                
                 
                   Decem.
                   
                
                 
                   Ianuar
                
                 
                   Februar
                   .
                
              
               
                 
                   ♎
                   Libra
                
                 
                   ♏
                   Scorpio
                
                 
                   ♐
                   Sagit
                   .
                
                 
                   ♑
                   Capri.
                   
                
                 
                   ♒
                   Aqua
                   .
                
                 
                   ♓
                   Pisces
                   .
                
              
               
                 
                   5
                   Vain
                
                 
                   5
                   villans
                
                 
                   3
                   jest
                   ,
                
                 
                   3
                   into
                
                 
                   1
                   A
                
                 
                   8
                   Paradice
                   .
                
              
            
          
           
             
             
               A
               Table
               ,
               shewing
               the
               Moon
               's
               Motion
               ,
               in
               Signs
               ,
               Degrees
               and
               Minuts
               ,
               for
               every
               Day
               and
               Hour
               of
               her
               Age.
               
            
             
               
                 
                   The
                   Dayes
                   of
                   the
                   Moon
                   's
                   Age.
                   
                
                 
                   
                     ❍
                     Age
                     ,
                  
                   
                     Si.
                     
                  
                   
                     Deg.
                     
                  
                   
                     Min.
                     
                  
                
                 
                   
                     1
                  
                   
                     0
                  
                   
                     13
                  
                   
                     11
                  
                
                 
                   
                     2
                  
                   
                     0
                  
                   
                     26
                  
                   
                     21
                  
                
                 
                   
                     3
                  
                   
                     1
                  
                   
                     9
                  
                   
                     32
                  
                
                 
                   
                     4
                  
                   
                     1
                  
                   
                     22
                  
                   
                     42
                  
                
                 
                   
                     5
                  
                   
                     2
                  
                   
                     5
                  
                   
                     53
                  
                
                 
                   
                     6
                  
                   
                     2
                  
                   
                     19
                  
                   
                     3
                  
                
                 
                   
                     7
                  
                   
                     3
                  
                   
                     2
                  
                   
                     14
                  
                
                 
                   
                     8
                  
                   
                     3
                  
                   
                     15
                  
                   
                     25
                  
                
                 
                   
                     9
                  
                   
                     3
                  
                   
                     28
                  
                   
                     35
                  
                
                 
                   
                     10
                  
                   
                     4
                  
                   
                     11
                  
                   
                     46
                  
                
                 
                   
                     11
                  
                   
                     4
                  
                   
                     24
                  
                   
                     56
                  
                
                 
                   
                     12
                  
                   
                     5
                  
                   
                     8
                  
                   
                     7
                  
                
                 
                   
                     13
                  
                   
                     5
                  
                   
                     21
                  
                   
                     18
                  
                
                 
                   
                     14
                  
                   
                     6
                  
                   
                     4
                  
                   
                     28
                  
                
                 
                   
                     15
                  
                   
                     6
                  
                   
                     17
                  
                   
                     39
                  
                
                 
                   
                     16
                  
                   
                     7
                  
                   
                     0
                  
                   
                     49
                  
                
                 
                   
                     17
                  
                   
                     7
                  
                   
                     14
                  
                   
                     0
                  
                
                 
                   
                     18
                  
                   
                     7
                  
                   
                     27
                  
                   
                     11
                  
                
                 
                   
                     19
                  
                   
                     8
                  
                   
                     10
                  
                   
                     21
                  
                
                 
                   
                     20
                  
                   
                     8
                  
                   
                     23
                  
                   
                     32
                  
                
                 
                   
                     21
                  
                   
                     9
                  
                   
                     0
                  
                   
                     42
                  
                
                 
                   
                     22
                  
                   
                     9
                  
                   
                     19
                  
                   
                     53
                  
                
                 
                   
                     23
                  
                   
                     10
                  
                   
                     3
                  
                   
                     3
                  
                
                 
                   
                     24
                  
                   
                     10
                  
                   
                     16
                  
                   
                     14
                  
                
                 
                   
                     25
                  
                   
                     10
                  
                   
                     29
                  
                   
                     25
                  
                
                 
                   
                     26
                  
                   
                     11
                  
                   
                     12
                  
                   
                     35
                  
                
                 
                   
                     27
                  
                   
                     11
                  
                   
                     29
                  
                   
                     46
                  
                
                 
                   
                     28
                  
                   
                     0
                  
                   
                     8
                  
                   
                     56
                  
                
                 
                   
                     29
                  
                   
                     0
                  
                   
                     22
                  
                   
                     7
                  
                
                 
                   
                     30
                  
                   
                      
                  
                   
                      
                  
                   
                      
                  
                
              
               
                 
                   The
                   Hours
                   of
                   the
                   Moon
                   's
                   Age.
                   
                
                 
                   
                     Ho.
                     
                  
                   
                     Deg.
                     
                  
                   
                     Min.
                     
                  
                
                 
                   
                     1
                  
                   
                     0
                  
                   
                     33
                  
                
                 
                   
                     2
                  
                   
                     1
                  
                   
                     6
                  
                
                 
                   
                     3
                  
                   
                     1
                  
                   
                     39
                  
                
                 
                   
                     4
                  
                   
                     2
                  
                   
                     12
                  
                
                 
                   
                     5
                  
                   
                     2
                  
                   
                     45
                  
                
                 
                   
                     6
                  
                   
                     3
                  
                   
                     18
                  
                
                 
                   
                     7
                  
                   
                     3
                  
                   
                     51
                  
                
                 
                   
                     8
                  
                   
                     4
                  
                   
                     24
                  
                
                 
                   
                     9
                  
                   
                     4
                  
                   
                     56
                  
                
                 
                   
                     10
                  
                   
                     5
                  
                   
                     29
                  
                
                 
                   
                     11
                  
                   
                     6
                  
                   
                     2
                  
                
                 
                   
                     12
                  
                   
                     6
                  
                   
                     35
                  
                
                 
                   
                     13
                  
                   
                     7
                  
                   
                     8
                  
                
                 
                   
                     14
                  
                   
                     7
                  
                   
                     41
                  
                
                 
                   
                     15
                  
                   
                     8
                  
                   
                     14
                  
                
                 
                   
                     16
                  
                   
                     8
                  
                   
                     47
                  
                
                 
                   
                     17
                  
                   
                     9
                  
                   
                     20
                  
                
                 
                   
                     18
                  
                   
                     9
                  
                   
                     53
                  
                
                 
                   
                     19
                  
                   
                     10
                  
                   
                     26
                  
                
                 
                   
                     20
                  
                   
                     10
                  
                   
                     59
                  
                
                 
                   
                     21
                  
                   
                     11
                  
                   
                     32
                  
                
                 
                   
                     22
                  
                   
                     12
                  
                   
                     5
                  
                
                 
                   
                     23
                  
                   
                     12
                  
                   
                     38
                  
                
                 
                   
                     24
                  
                   
                     13
                  
                   
                     11
                  
                
              
            
             
             
               The
               use
               of
               this
               Table
               is
               as
               followeth
               ,
               and
               first
               observing
               that
               the
               Sun
               and
               Moon
               are
               both
               in
               one
               Signe
               and
               Degree
               at
               the
               Change
               and
               Conjunction
               which
               you
               may
               have
               by
               your
               yearly
               Almanack
               or
               Ephemeris
               .
               As
               in
               the
               year
               1683
               ,
               I
               find
               the
               Conjunction
               or
               Change
               to
               be
               the
               14
               of
               Iuly
               at
               2
               in
               the
               morning
               ,
               (
               the
               minuts
               being
               omitted
               ,
               as
               of
               no
               great
               concernment
               in
               this
               matter
               )
               then
               from
               2
               in
               the
               morning
               to
               12
               at
               midday
               ,
               there
               are
               10
               hours
               ,
               to
               the
               which
               answereth
               the
               hours
               of
               the
               Moons
               age
               ,
               5
               degrees
               ,
               29
               minuts
               ,
               which
               being
               added
               to
               1
               degree
               ,
               3
               minuts
               of
               
                 Leo
                 ▪
              
               the
               signe
               and
               degree
               the
               Sun
               and
               Moon
               was
               into
               at
               the
               change
               ,
               the
               sume
               is
               6
               
                 degrees
                 ,
                 32
                 minuts
              
               and
               this
               is
               the
               place
               of
               the
               Moon
               the
               14
               of
               Iuly
               at
               noone
               .
               But
               with
               more
               certainty
               by
               an
               Ephemeris
               into
               the
               7
               deg
               .
               of
               Leo
               the
               14
               day
               at
               noon
               .
               Secondly
               ,
               I
               desire
               to
               know
               the
               Moons
               place
               the
               25
               of
               Iuly
               .
               so
               then
               between
               the
               14
               of
               Iuly
               ,
               and
               the
               25
               are
               11
               days
               inclusive
               ,
               and
               in
               the
               table
               of
               the
               days
               of
               the
               Moons
               age
               ,
               are
               4
               
                 signes
                 25
                 degrees
                 .
                 Lastly
              
               ,
               seeing
               the
               Moon
               cometh
               to
               the
               Meridian
               the
               11
               day
               ,
               at
               8
               
                 hours
                 ,
                 48
                 minuts
              
               ,
               to
               the
               which
               doth
               answere
               nearest
               in
               the
               table
               of
               hours
               ,
               4
               
                 degrees
                 ,
                 56
                 minuts
              
               ,
               these
               four
               being
               added
               together
               
                 
                   
                      
                  
                   
                     S.
                     
                  
                   
                     D.
                     
                  
                   
                     M.
                     
                  
                
                 
                   
                     First
                     the
                     ☽
                     being
                     in
                     the
                     1
                     deg
                     .
                     3
                     min
                     of
                     ☊
                     being
                  
                   
                     4
                  
                   
                     1
                  
                   
                     3
                  
                
                 
                   
                     Secondly
                     from
                     2
                     morning
                     to
                     noon
                     ,
                     being
                     10
                     hours
                     ,
                  
                   
                     0
                  
                   
                     5
                  
                   
                     29
                  
                
                 
                   
                     Thirdly
                     the
                     11
                     day
                     at
                     noon
                     ,
                  
                   
                     4
                  
                   
                     25
                  
                   
                     00
                  
                
                 
                   
                     Lastly
                     for
                     11
                     days
                     in
                     the
                     first
                     table
                     ,
                     8
                     ho
                     ▪
                     48
                     min.
                     is
                  
                   
                     0
                  
                   
                     4
                  
                   
                     56
                  
                
                 
                   
                     The
                     sume
                     is
                  
                   
                     9
                  
                   
                     6
                  
                   
                     28
                  
                
              
            
             
               And
               this
               much
               for
               the
               first
               way
               .
            
             
             
               These
               9
               
                 Signs
                 6
                 deg
                 .
                 28
                 min.
              
               showeth
               the
               Moon
               to
               be
               in
               the
               year
               1683
               ,
               
                 Iuly
                 25th
              
               ,
               into
               the
               6
               
                 degree
                 28
                 minuts
              
               of
               Capricorn
               :
               minuts
               being
               omitted
               in
               both
               ,
               so
               the
               difference
               is
               but
               small
               ;
               and
               no
               wonder
               that
               there
               be
               a
               difference
               :
               the
               Ephemeris
               by
               calculation
               being
               more
               exact
               then
               that
               which
               we
               can
               expect
               from
               this
               Enchiridion
               :
               where
               you
               are
               to
               observe
               ,
               having
               found
               the
               place
               of
               the
               Moon
               ,
               which
               if
               it
               had
               exceeded
               12
               signes
               ,
               ye
               were
               then
               to
               substract
               12
               ,
               and
               the
               remainder
               counted
               from
               Aries
               inclusive
               ,
               shall
               be
               the
               Moons
               place
               .
               But
               having
               found
               the
               same
               to
               be
               in
               the
               7
               degree
               of
               Capricorn
               ,
               and
               the
               Sun
               in
               the
               same
               ;
               by
               the
               last
               table
               of
               the
               Suns
               rysing
               and
               setting
               ,
               ye
               shall
               find
               the
               Sun
               being
               in
               the
               7
               degree
               of
               Capricorn
               to
               set
               in
               the
               Latitude
               of
               57
               
                 deg
                 .
                 10
                 min.
              
               at
               3
               
                 hou
                 15
                 min.
              
               which
               being
               added
               to
               8
               hou
               .
               48.
               min.
               the
               Moons
               coming
               to
               the
               Meridian
               ,
               showeth
               the
               setting
               of
               the
               Moon
               ,
               to
               be
               at
               12
               
                 hou
                 .
                 3
                 min.
              
               about
               midnight
               ;
               and
               being
               substracted
               from
               8
               hou
               .
               48
               min.
               the
               remainder
               is
               5
               
                 hou
                 .
                 33
                 min.
              
               for
               the
               rysing
               of
               the
               Moon
               in
               the
               afternoon
               .
               And
               accordingly
               you
               may
               know
               the
               rysing
               and
               setting
               for
               any
               other
               day
               of
               her
               age
               ,
               either
               increasing
               or
               decreasing
               .
               Upon
               these
               grounds
               an
               Instrument
               may
               be
               made
               for
               performing
               of
               the
               same
               without
               Tables
               .
               
                 And
                 this
                 much
                 for
                 the
                 second
                 way
                 .
              
            
             
               
                 The
                 Third
                 Way
              
               .
            
             
               In
               the
               same
               year
               1683
               ,
               December
               17
               being
               the
               
               10
               day
               of
               the
               Moon
               ,
               and
               coming
               to
               the
               Meridian
               at
               8
               a
               clock
               in
               the
               afternoon
               :
               I
               find
               the
               Moon
               to
               be
               in
               23
               degrees
               of
               Aries
               ,
               having
               5
               
                 degrees
                 16
                 minuts
                 South-Latitude
              
               ;
               which
               being
               substracted
               from
               8
               degrees
               ,
               58
               minuts
               (
               the
               
                 Suns
                 Declination
              
               being
               in
               23
               of
               Aries
               .
               )
               is
               3
               
                 degrees
                 42
                 minuts
              
               ,
               which
               may
               be
               called
               the
               
                 Moons
                 Declination
              
               ,
               or
               distance
               from
               the
               
                 Equinoctiall
                 Northerly
              
               ,
               though
               not
               propperly
               ,
               because
               the
               Latitude
               of
               the
               Moon
               or
               Star
               ,
               is
               said
               to
               be
               an
               Arch
               of
               a
               great
               Circle
               ,
               contained
               between
               the
               body
               of
               the
               Moon
               or
               Star
               ,
               and
               the
               Eccliptick
               passing
               by
               the
               
                 Eccliptick
                 Poles
              
               :
               and
               the
               Declination
               an
               Arch
               of
               a
               great
               Circle
               ,
               contained
               between
               the
               body
               of
               
                 Sun.
                 Moon
              
               ,
               or
               Star
               ;
               and
               the
               Equinoctiall
               passing
               by
               the
               Poles
               of
               the
               World.
               But
               the
               difference
               between
               the
               two
               Arches
               being
               small
               and
               of
               no
               great
               consequence
               to
               this
               matter
               ,
               we
               look
               in
               the
               tables
               of
               Declination
               for
               3
               
                 deg
                 .
                 42
                 min.
              
               in
               Aries
               ,
               in
               which
               sign
               and
               degree
               the
               Sun
               being
               ,
               setteth
               about
               6
               
                 hou
                 .
                 10
                 min.
              
               which
               added
               to
               8
               hou
               .
               the
               Moons
               coming
               to
               the
               Meridian
               the
               sume
               is
               14
               
                 hou
                 .
                 10
                 min.
              
               or
               2
               hou
               .
               10
               min.
               in
               the
               morning
               the
               Moon
               will
               set
               ,
               and
               being
               substracted
               from
               8
               hou
               .
               the
               remainder
               1
               
                 hou
                 .
                 50
                 min.
              
               for
               her
               rysing
               afternoon
               .
               Now
               by
               the
               second
               way
               wherein
               there
               is
               no
               respect
               had
               to
               the
               Latitude
               of
               the
               Moon
               ,
               we
               find
               the
               Sun
               being
               in
               23
               deg
               .
               of
               Aries
               to
               have
               his
               half
               semidiurnall
               Arch
               6
               
                 hou
                 .
                 56
                 min.
              
               which
               being
               added
               to
               8
               hou
               .
               the
               Moons
               coming
               to
               the
               Meridian
               giveth
               14
               
                 hou
                 .
                 56
                 min.
              
               for
               her
               setting
               ,
               
               and
               substracted
               from
               8
               hou
               .
               giveth
               1
               
                 hou
                 .
                 4
                 min.
              
               this
               being
               an
               error
               ought
               to
               be
               seriously
               considered
               ,
               as
               not
               being
               tollorable
               ,
               the
               half
               
                 Semidiurnall
                 Arch
              
               only
               being
               6
               
                 hou
                 .
                 10
                 min.
              
               and
               not
               6
               
                 hou
                 .
                 56
                 min.
              
               by
               considering
               the
               Latitude
               Having
               formerly
               made
               mention
               ,
               that
               the
               
                 Moons
                 Latitude
              
               being
               added
               or
               substracted
               from
               the
               Moons
               true
               Declination
               of
               Longitude
               ,
               the
               difference
               is
               of
               no
               great
               consequence
               ,
               as
               I
               shall
               illustrate
               in
               these
               following
               cases
               ,
               supposing
               the
               
                 Moons
                 Longitude
              
               to
               be
               in
               the
               15
               degree
               of
               Taurus
               .
            
          
        
         
           
             SECT
             .
             VIII
             .
          
           
             A
             description
             of
             the
             following
             Sphericall
             Triangle
             .
          
           
           
             Let
             there
             be
             an
             
               oblique
               Sphericall
               Triangle
            
             ,
             as
             A
             ,
             B
             ,
             C
             ,
             projected
             in
             the
             plain
             of
             the
             Solistitiall●olure
             ,
             either
             Orthographice
             ,
             according
             to
             
               Ptolomies
               ●nalemma
            
             ,
             or
             Steriographice
             ,
             according
             to
             
               Gemma
               ●risius
            
             his
             Astrolob
             :
             the
             Arch
             A
             ,
             B
             ,
             shall
             repre●ent
             the
             distance
             between
             the
             two
             Poles
             ,
             to
             wit
             ,
             of
             ●he
             Diurnall
             and
             
               Annuall
               Motion
            
             ,
             being
             23
             deg
             .
             30
             min.
             B
             ,
             C
             ,
             an
             Arch
             of
             the
             
               Co.
               Latitude
            
             of
             the
             Moon
             ,
             ●nd
             A
             ,
             C
             ,
             of
             the
             
               Co.
               Declination
               .
               Dat.
            
             A
             ,
             B
             ,
             the
             
             Angle
             at
             B
             ,
             and
             B
             ,
             C
             ,
             to
             find
             A
             ,
             C
             ,
             or
             Complement
             ;
             being
             the
             Declination
             of
             the
             Moon
             .
          
           
             
               
                 NORTH
                 .
              
               
                 
                   ☽
                   Lat.
                   
                
                 
                   ☽
                   Decl.
                   
                
                 
                   Decl.
                   15
                   ♉
                   added
                
                 
                   Diff
                
              
               
                 
                   Deg.
                   
                
                 
                   deg
                   .
                
                 
                   min.
                   
                
                 
                   deg
                   .
                
                 
                   min.
                   
                
                 
                   min
                   ▪
                
              
               
                 
                   5
                
                 
                   21
                
                 
                   8
                
                 
                   21
                
                 
                   24
                
                 
                   16
                
              
               
                 
                   4
                
                 
                   20
                
                 
                   11
                
                 
                   20
                
                 
                   24
                
                 
                   13
                
              
               
                 
                   3
                
                 
                   19
                
                 
                   14
                
                 
                   19
                
                 
                   24
                
                 
                   10
                
              
               
                 
                   2
                
                 
                   18
                
                 
                   16
                
                 
                   18
                
                 
                   24
                
                 
                   8
                
              
               
                 
                   1
                
                 
                   17
                
                 
                   19
                
                 
                   17
                
                 
                   24
                
                 
                   5
                
              
            
             
               
                 SOUTH
                 .
              
               
                 
                   ☽
                   Lat.
                   
                
                 
                   ☽
                   Decl.
                   
                
                 
                   Substracted
                
                 
                   Diff
                
              
               
                 
                   Deg.
                   
                
                 
                   deg
                   .
                
                 
                   min.
                   
                
                 
                   deg
                   .
                
                 
                   min.
                   
                
                 
                   min
                   ▪
                
              
               
                 
                   5
                
                 
                   11
                
                 
                   35
                
                 
                   16
                
                 
                   24
                
                 
                   11
                
              
               
                 
                   4
                
                 
                   12
                
                 
                   32
                
                 
                   16
                
                 
                   24
                
                 
                   8
                
              
               
                 
                   3
                
                 
                   13
                
                 
                   30
                
                 
                   16
                
                 
                   24
                
                 
                   6
                
              
               
                 
                   2
                
                 
                   14
                
                 
                   27
                
                 
                   16
                
                 
                   24
                
                 
                   3
                
              
               
                 
                   1
                
                 
                   15
                
                 
                   24
                
                 
                   16
                
                 
                   24
                
                 
                   0
                
              
            
          
           
             These
             two
             Tables
             I
             have
             composed
             ;
             for
             showing
             of
             the
             difference
             between
             the
             
               Moons
               Declination
            
             ,
             (
             being
             had
             by
             the
             resolution
             of
             the
             former
             Triangle
             ,
             )
             and
             the
             place
             of
             the
             Moon
             in
             the
             Eccliptick
             ;
             having
             either
             N.
             or
             
               S.
               Latitude
               .
               As
               for
               Example
               ,
            
             I
             have
             taken
             the
             
               Moons
               Longitude
            
             to
             be
             in
             the
             15
             deg
             .
             of
             Taurus
             ,
             whose
             Declination
             is
             16
             
               deg
               .
               24
               min
            
             In
             the
             first
             table
             ,
             there
             are
             5
             columns
             ,
             First
             ,
             the
             
               Moons
               Latitude
            
             to
             5
             deg
             .
             of
             
               N.
               Latitude
               .
               Secondly
            
             ,
             the
             
               Moons
               Declination
               .
               Thirdly
            
             ,
             the
             Declination
             of
             the
             15
             deg
             .
             of
             Taurus
             being
             16
             
               deg
               .
               24
               min.
            
             added
             to
             5
             deg
             .
             of
             
               N.
               Latitude
            
             ,
             giveth
             21
             
               deg
               .
               24
               min.
            
             the
             difference
             from
             the
             
               Moons
               
               Declination
               21
               deg
               .
               8
               min.
            
             being
             only
             16
             min.
             and
             ●hat
             for
             the
             fifth
             column
             ,
             and
             so
             accordingly
             in
             all
             ●he
             rest
             .
             The
             second
             table
             ,
             where
             the
             Moon
             hath
             
               South
               Latitude
            
             ,
             the
             Moon
             being
             in
             the
             same
             degree
             of
             ●he
             Eccliptick
             ,
             according
             to
             her
             Longitude
             ,
             ye
             have
             ●n
             the
             first
             column
             as
             formerly
             ,
             the
             
               Moons
               Latitude
               S.
               Secondly
            
             ,
             the
             
               Moons
               Declination
            
             :
             and
             thirdly
             ,
             the
             Declination
             of
             15
             
               deg
               of
               Taurus
            
             ,
             from
             which
             if
             ye
             substract
             ●he
             
               Moons
               Latitude
            
             ,
             the
             remainder
             shall
             be
             11
             deg
             .
             24
             min
             differing
             from
             the
             
               Moons
               Declination
               11
               min.
            
             
             What
             I
             have
             said
             here
             concerning
             N.
             or
             
               S.
               Latitude
            
             ,
             in
             the
             
               Northern
               Signs
            
             ,
             may
             be
             applyed
             to
             N.
             or
             
               S.
               Latitude
            
             in
             
               Southern
               Signs
            
             .
             But
             if
             it
             be
             required
             ,
             when
             the
             Declination
             with
             the
             Latitude
             added
             ,
             is
             more
             then
             23
             
               deg
               .
               30
               min.
            
             as
             I
             suppose
             the
             Moon
             to
             be
             in
             the
             25
             deg
             .
             of
             Gemini
             ;
             having
             Declination
             23
             
               deg
               .
               26
               min.
               North
            
             ,
             and
             the
             
               Latitude
               5
               deg
               .
               16
               min.
               North
               ,
            
             the
             sume
             is
             28
             
               deg
               :
               26
               min
            
             :
             now
             to
             know
             the
             20
             day
             of
             the
             Moon
             ,
             at
             what
             time
             the
             Moon
             ryseth
             and
             setteth
             .
             Having
             found
             the
             Declination
             of
             the
             Moon
             by
             what
             formerly
             hath
             been
             said
             ,
             to
             be
             28
             
               deg
               .
               40
               min
            
             ,
             with
             the
             
               Poles
               Elevation
               57
               deg
               .
               10
               min.
            
             we
             may
             find
             the
             difference
             assentionall
             to
             be
             57
             deg
             .
             55
             min
             ,
             in
             time
             3
             
               hou
               .
               52
               min
            
             ;
             which
             added
             to
             6
             hou
             .
             the
             sume
             is
             9
             
               hou
               .
               52
               min.
            
             added
             to
             4
             hou
             .
             in
             the
             morning
             ,
             the
             Moons
             coming
             to
             the
             Meridian
             ,
             giveth
             13
             
               hou
               .
               52
               min.
            
             or
             ,
             52
             min.
             past
             1
             hou
             .
             afternoon
             ;
             and
             substracted
             from
             4
             ,
             leaveth
             6
             
               hou
               8
               min.
            
             at
             which
             time
             the
             Moon
             will
             rise
             the
             former
             day
             in
             
             the
             afternoon
             .
             As
             for
             the
             
               Horizontall
               refraction
            
             and
             Parallax
             ,
             being
             of
             no
             great
             concernment
             in
             this
             matter
             to
             handle
             any
             further
             ,
             I
             desist
             .
             Lastly
             ,
             I
             would
             advise
             Seamen
             ,
             that
             are
             versed
             in
             the
             principles
             o●
             Navigation
             ,
             as
             in
             the
             Sphere
             and
             Globs
             ,
             to
             furnish
             themselves
             with
             Ephimerides
             ,
             either
             Argol
             ,
             or
             
               Iohn
               Gadbury
            
             their
             Ephimerides
             ,
             which
             will
             continue
             these
             28
             years
             ;
             wherein
             they
             may
             have
             the
             true
             place
             of
             the
             Luminaries
             ,
             with
             the
             
               Moons
               Latitude
            
             ,
             for
             the
             Meridian
             or
             12
             a
             cloak
             each
             day
             .
          
        
         
           
             SECT
             .
             IX
             .
          
           
             A
             declaration
             ,
             for
             the
             better
             understanding
             of
             these
             Everlasting
             Tables
             ,
             for
             the
             Ebbs
             and
             Floods
             following
             ▪
          
           
             IF
             you
             be
             desirous
             at
             any
             time
             to
             know
             when
             i●
             is
             a
             full-Sea
             ,
             or
             high
             water
             at
             any
             Port
             or
             Haven
             either
             in
             
               Scotland
               ,
               England
               ,
               France
            
             or
             Ireland
             ,
             or
             any
             other
             part
             of
             the
             World
             :
             If
             first
             by
             your
             own
             knowledge
             ,
             or
             the
             knowledge
             of
             any
             expert
             Mariner
             ,
             you
             know
             ,
             when
             you
             see
             the
             Moon
             in
             such
             a
             part
             of
             the
             Firmament
             ,
             that
             then
             it
             is
             ful-Sea
             at
             such
             a
             Port
             or
             Haven
             ,
             then
             these
             Tables
             shall
             be
             needless
             for
             you
             :
             But
             if
             you
             cannot
             so
             do
             ,
             and
             would
             learn
             ,
             then
             resort
             to
             this
             Table
             :
             And
             first
             consider
             with
             your self
             ,
             how
             many
             days
             old
             the
             Moon
             is
             ,
             the
             day
             that
             you
             desire
             to
             know
             the
             Tyde
             :
             And
             in
             the
             middle
             of
             this
             Table
             you
             shall
             find
             in
             the
             uppermost
             part
             thereof
             ;
             this
             tittle
             ,
             
               The
               Age
               of
               the
               Moon
            
             :
             and
             right
             against
             the
             day
             
             of
             the
             Age
             of
             the
             Moon
             ,
             you
             shall
             find
             on
             both
             sides
             ,
             the
             places
             and
             points
             of
             the
             Firmament
             ,
             as
             
               South
               ,
               South
               by
               West
               ;
               South
               South-West
               ,
            
             &c.
             
             And
             next
             under
             that
             Line
             ,
             are
             these
             letters
             ,
             Ho.
             and
             Min.
             which
             signifieth
             Hours
             and
             Minuts
             :
             Then
             having
             in
             memorie
             the
             Age
             of
             the
             Moon
             ,
             as
             aforesaid
             ,
             go
             directly
             to
             the
             tittle
             of
             that
             place
             of
             the
             Firmament
             ,
             to
             the
             which
             when
             the
             Moon
             cometh
             ,
             maketh
             a
             high
             Water
             ,
             and
             there
             you
             shall
             find
             the
             exact
             Hour
             and
             Minut
             when
             it
             is
             ful-Sea
             in
             that
             place
             ,
          
           
             
               As
               for
               Example
            
             .
          
           
             Where
             it
             flowes
             South
             by
             West
             ,
             as
             at
             Aberdeen
             ,
             I
             desire
             to
             know
             at
             what
             time
             it
             will
             be
             full-Sea
             at
             that
             place
             ,
             the
             10
             day
             of
             the
             Moon
             :
             I
             apply
             my self
             to
             the
             Table
             ,
             and
             I
             find
             the
             flowing
             at
             
               Aberdeen
               ,
               South
            
             by
             West
             ,
             then
             looking
             in
             the
             Column
             of
             the
             Age
             of
             the
             Moon
             ,
             I
             find
             the
             day
             of
             the
             Moon
             10
             ,
             and
             right
             against
             the
             same
             upon
             the
             left
             hand
             I
             find
             8
             hours
             45
             minuts
             :
             at
             which
             time
             in
             the
             Evening
             it
             will
             be
             full-Sea
             at
             that
             place
             :
             but
             if
             it
             be
             the
             25
             day
             of
             the
             Moon
             ,
             you
             shall
             find
             the
             same
             flowing
             to
             be
             at
             8
             hours
             45
             minuts
             in
             the
             morning
             .
          
           
             
               Another
               Example
            
             ,
          
           
             Where
             it
             flowes
             South-West
             by
             South
             ,
             as
             at
             Lieth
             ,
             I
             desire
             to
             know
             at
             what
             time
             it
             will
             be
             full-Sea
             at
             that
             place
             ,
             the
             said
             10
             day
             of
             the
             Moon
             :
             I
             apply
             my self
             to
             the
             Table
             ,
             and
             I
             find
             the
             flowing
             at
             
               Lieth
               ,
               South-West
            
             by
             South
             :
             then
             looking
             in
             the
             Column
             of
             the
             Age
             of
             the
             Moon
             ,
             I
             find
             the
             day
             of
             the
             Moon
             10
             ,
             and
             right
             against
             the
             same
             upon
             the
             right
             hand
             I
             find
             10
             hours
             15
             minuts
             :
             at
             which
             time
             in
             the
             Evening
             it
             will
             be
             full-Sea
             at
             that
             place
             :
             but
             if
             it
             be
             the
             25
             day
             of
             the
             Moon
             ,
             you
             shall
             find
             the
             same
             flowing
             10
             be
             at
             10
             hours
             15
             minuts
             in
             the
             morning
             and
             accordingly
             throughout
             these
             following
             Everlasting
             Tyde-Tables
             .
          
           
           
             
               
                 
                   at
                   Buchāness
                   ,
                   and
                   all
                   the
                   South-side
                   of
                   the
                   Murray-Firth
                   ,
                   Cromarty
                   ,
                   Millorchy
                   ,
                   Inverness
                   ,
                   Findorne
                   ,
                   Spey
                   ,
                   Bamff
                   ,
                   Peterhead
                   ,
                   Isle
                   of
                   Wight
                   ,
                   at
                   Deal
                   ,
                   at
                   Dover-Peer
                   ,
                   on
                   the
                   Coast
                   of
                   Flanders
                   ,
                   &c.
                   
                
                 
                   at
                   Newbrugh
                   Aberdeen
                   ,
                   Sto●hyve
                   ,
                   Redbane
                   ,
                   at
                   Flushing
                   ,
                   within
                   the
                   Maes
                   ,
                   at
                   Maldox
                   ,
                   at
                   the
                   VVest-end
                   of
                   the
                   Nower
                   ,
                   at
                   Blacktail
                   ,
                   at
                   Rochester
                   ,
                   at
                   VVinchelsey
                   ,
                   and
                   within
                   Terveer
                   ,
                   &c.
                   
                
                 
                   The
                   Age
                   of
                   the
                   Moon
                   .
                
                 
                   at
                   Montrose
                   ,
                   the
                   out-end
                   of
                   ●ay
                   ,
                   St.
                   Andrews
                   ,
                   Cryle
                   ,
                   E●ster
                   ,
                   and
                   all
                   along
                   the
                   Coast
                   of
                   ●isse
                   to
                   Brunt
                   Island
                   ,
                   before
                   Gaurie
                   and
                   at
                   Graves-end
                   ,
                   under
                   Holy-Island
                   ,
                   and
                   at
                   Horn
                   ,
                   &c.
                   
                
                 
                   at
                   Lieth
                   in
                   the
                   Firth
                   ,
                   at
                   Dundee
                   ,
                   Brunt
                   Island
                   ,
                   Holy-Island
                   ,
                   St.
                   Lucas
                   ,
                   wthout
                   Bluet
                   at
                   Denby
                   ,
                   without
                   Fount-nay
                   ,
                   at
                   Lisbon
                   ,
                   before
                   the
                   VVeilings
                   ,
                   &c.
                   
                
              
               
                 
                   South
                   .
                
                 
                   S.
                   by
                   W.
                   
                
                 
                   ☽
                   ☽
                
                 
                   S.
                   S.
                   W.
                   
                
                 
                   S.
                   W.
                   by
                   S.
                   
                
              
               
                 
                   North.
                   
                
                 
                   N.
                   by
                   E.
                   
                
                 
                   N.
                   N.
                   E.
                   
                
                 
                   N.
                   E.
                   by
                   N.
                   
                
              
               
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   In.
                   
                
                 
                   De.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
              
               
                 
                   12
                
                 
                   48
                
                 
                   1
                
                 
                   33
                
                 
                   1
                
                 
                   16
                
                 
                   2
                
                 
                   18
                
                 
                   3
                
                 
                   3
                
              
               
                 
                   1
                
                 
                   36
                
                 
                   2
                
                 
                   21
                
                 
                   2
                
                 
                   17
                
                 
                   3
                
                 
                   6
                
                 
                   3
                
                 
                   51
                
              
               
                 
                   2
                
                 
                   24
                
                 
                   3
                
                 
                   9
                
                 
                   3
                
                 
                   18
                
                 
                   3
                
                 
                   54
                
                 
                   4
                
                 
                   39
                
              
               
                 
                   3
                
                 
                   12
                
                 
                   3
                
                 
                   57
                
                 
                   4
                
                 
                   19
                
                 
                   4
                
                 
                   42
                
                 
                   5
                
                 
                   27
                
              
               
                 
                   4
                
                 
                   0
                
                 
                   4
                
                 
                   45
                
                 
                   5
                
                 
                   20
                
                 
                   5
                
                 
                   30
                
                 
                   6
                
                 
                   15
                
              
               
                 
                   4
                
                 
                   48
                
                 
                   5
                
                 
                   33
                
                 
                   6
                
                 
                   21
                
                 
                   6
                
                 
                   18
                
                 
                   7
                
                 
                   3
                
              
               
                 
                   5
                
                 
                   36
                
                 
                   6
                
                 
                   21
                
                 
                   7
                
                 
                   22
                
                 
                   7
                
                 
                   6
                
                 
                   7
                
                 
                   51
                
              
               
                 
                   6
                
                 
                   24
                
                 
                   7
                
                 
                   9
                
                 
                   8
                
                 
                   23
                
                 
                   7
                
                 
                   54
                
                 
                   8
                
                 
                   39
                
              
               
                 
                   7
                
                 
                   12
                
                 
                   7
                
                 
                   57
                
                 
                   9
                
                 
                   24
                
                 
                   8
                
                 
                   42
                
                 
                   9
                
                 
                   27
                
              
               
                 
                   8
                
                 
                   0
                
                 
                   8
                
                 
                   45
                
                 
                   10
                
                 
                   25
                
                 
                   9
                
                 
                   30
                
                 
                   10
                
                 
                   15
                
              
               
                 
                   8
                
                 
                   48
                
                 
                   9
                
                 
                   33
                
                 
                   11
                
                 
                   26
                
                 
                   10
                
                 
                   18
                
                 
                   11
                
                 
                   3
                
              
               
                 
                   9
                
                 
                   36
                
                 
                   10
                
                 
                   21
                
                 
                   12
                
                 
                   27
                
                 
                   11
                
                 
                   6
                
                 
                   11
                
                 
                   51
                
              
               
                 
                   10
                
                 
                   24
                
                 
                   11
                
                 
                   9
                
                 
                   13
                
                 
                   28
                
                 
                   11
                
                 
                   54
                
                 
                   12
                
                 
                   39
                
              
               
                 
                   11
                
                 
                   12
                
                 
                   11
                
                 
                   57
                
                 
                   14
                
                 
                   29
                
                 
                   12
                
                 
                   42
                
                 
                   1
                
                 
                   27
                
              
               
                 
                   12
                
                 
                   0
                
                 
                   12
                
                 
                   45
                
                 
                   15
                
                 
                   30
                
                 
                   1
                
                 
                   30
                
                 
                   2
                
                 
                   15
                
              
            
             
             
               
                 
                   at
                   Ennerkything
                   ,
                   Quensferrie
                   ,
                   st
                   .
                   Margarets-Hoop
                   .
                   Borrowstonness
                   ,
                   Lyme-Kills
                   ,
                   &
                   all
                   above
                   In●hgarvie
                   ,
                   except
                   Stirling-Bridge
                   ,
                   at
                   LONDON
                   and
                   before
                   Newcastle
                   ,
                   at
                   Amsterdā
                   ,
                   &
                   Armentiers
                   ,
                   &c.
                   
                
                 
                   from
                   Buchan-ness
                   ,
                   and
                   all
                   alongst
                   the
                   Coast
                   without
                   ,
                   above
                   the
                   May
                   ,
                   or
                   Highland
                   in
                   the
                   South-Firth
                   ,
                   and
                   from
                   Flambrough-head
                   ,
                   to
                   Bird●ing
                   ton
                   Bay
                   without
                   ,
                   Ostend
                   ,
                   at
                   Brest
                   ,
                   before
                   the
                   Bass
                   &c.
                   
                
                 
                   The
                   Age
                   of
                   the
                   Moon
                   .
                
                 
                   A
                   little
                   off
                   the
                   Shore
                   before
                   Humber
                   between
                   Brid
                   lington
                   ,
                   and
                   Lowerness
                   ,
                   at
                   Lands-end
                   of
                   Golph
                   ,
                   from
                   Ostend
                   to
                   St
                   Catharins
                   ,
                   at
                   Aberwark
                   ,
                   in
                   the
                   Bree
                   sound
                   :
                   Baltimore
                   ,
                   Mousehole
                   ,
                   Dungarvan
                   ,
                   &c.
                   
                
                 
                   at
                   Arbroth
                   ,
                   Falmouth
                   ,
                   between
                   Silly
                   and
                   Lizard
                   ,
                   in
                   Milford
                   ,
                   Moonless
                   ,
                   St.
                   Maloes
                   ,
                   at
                   Caldy
                   ,
                   and
                   in
                   the
                   Bay
                   of
                   Canarvan
                   ,
                   at
                   the
                   mouth
                   of
                   Severn
                   ,
                   Foy
                   ,
                   Humber
                   New-Castle
                   ,
                   Garnsey
                   ,
                   and
                   Wales
                   ,
                   &c.
                   
                
              
               
                 
                   S.
                   W.
                   
                
                 
                   S.
                   W
                   by
                   W.
                   
                
                 
                   ☽
                   ☽
                
                 
                   W.
                   S.
                   W.
                   
                
                 
                   W.
                   by
                   S.
                   
                
              
               
                 
                   N.
                   E.
                   
                
                 
                   N.
                   E.
                   by
                   E.
                   
                
                 
                   E
                   N.
                   E.
                   
                
                 
                   E.
                   by
                   N.
                   
                
              
               
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   In.
                   
                
                 
                   De.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
              
               
                 
                   3
                
                 
                   48
                
                 
                   4
                
                 
                   33
                
                 
                   1
                
                 
                   16
                
                 
                   5
                
                 
                   18
                
                 
                   6
                
                 
                   3
                
              
               
                 
                   4
                
                 
                   36
                
                 
                   5
                
                 
                   21
                
                 
                   2
                
                 
                   17
                
                 
                   6
                
                 
                   6
                
                 
                   6
                
                 
                   51
                
              
               
                 
                   5
                
                 
                   24
                
                 
                   6
                
                 
                   9
                
                 
                   3
                
                 
                   ●8
                
                 
                   6
                
                 
                   54
                
                 
                   7
                
                 
                   39
                
              
               
                 
                   6
                
                 
                   12
                
                 
                   6
                
                 
                   57
                
                 
                   4
                
                 
                   19
                
                 
                   7
                
                 
                   42
                
                 
                   8
                
                 
                   27
                
              
               
                 
                   7
                
                 
                   0
                
                 
                   7
                
                 
                   45
                
                 
                   5
                
                 
                   20
                
                 
                   8
                
                 
                   30
                
                 
                   9
                
                 
                   15
                
              
               
                 
                   7
                
                 
                   48
                
                 
                   8
                
                 
                   33
                
                 
                   6
                
                 
                   21
                
                 
                   9
                
                 
                   18
                
                 
                   10
                
                 
                   3
                
              
               
                 
                   8
                
                 
                   36
                
                 
                   9
                
                 
                   21
                
                 
                   7
                
                 
                   22
                
                 
                   10
                
                 
                   6
                
                 
                   10
                
                 
                   51
                
              
               
                 
                   9
                
                 
                   24
                
                 
                   10
                
                 
                   9
                
                 
                   8
                
                 
                   23
                
                 
                   10
                
                 
                   54
                
                 
                   11
                
                 
                   39
                
              
               
                 
                   10
                
                 
                   12
                
                 
                   10
                
                 
                   57
                
                 
                   9
                
                 
                   24
                
                 
                   11
                
                 
                   42
                
                 
                   12
                
                 
                   27
                
              
               
                 
                   11
                
                 
                   0
                
                 
                   11
                
                 
                   45
                
                 
                   10
                
                 
                   25
                
                 
                   12
                
                 
                   30
                
                 
                   1
                
                 
                   15
                
              
               
                 
                   11
                
                 
                   48
                
                 
                   12
                
                 
                   33
                
                 
                   11
                
                 
                   26
                
                 
                   1
                
                 
                   18
                
                 
                   2
                
                 
                   3
                
              
               
                 
                   12
                
                 
                   36
                
                 
                   1
                
                 
                   21
                
                 
                   12
                
                 
                   27
                
                 
                   2
                
                 
                   6
                
                 
                   2
                
                 
                   51
                
              
               
                 
                   1
                
                 
                   24
                
                 
                   2
                
                 
                   9
                
                 
                   13
                
                 
                   28
                
                 
                   2
                
                 
                   54
                
                 
                   3
                
                 
                   39
                
              
               
                 
                   2
                
                 
                   12
                
                 
                   2
                
                 
                   57
                
                 
                   14
                
                 
                   29
                
                 
                   3
                
                 
                   42
                
                 
                   4
                
                 
                   27
                
              
               
                 
                   3
                
                 
                   0
                
                 
                   3
                
                 
                   45
                
                 
                   15
                
                 
                   30
                
                 
                   4
                
                 
                   30
                
                 
                   5
                
                 
                   15
                
              
            
             
             
               
                 
                   At
                   Lin
                   half-tyde
                   ,
                   Weighmouth
                   ,
                   Wells
                   ,
                   and
                   Waterford
                   ,
                   Hull
                   ,
                   Londey
                   ,
                   at
                   Holms
                   ,
                   Bristol
                   ,
                   Concallo
                   ,
                   at
                   Abermorick
                   ,
                   and
                   Antwerp
                   ,
                   before
                   Hambrough
                   ,
                   and
                   the
                   Tessel
                   ,
                   &c.
                   
                
                 
                   between
                   Foy
                   and
                   Falmouth
                   and
                   at
                   Bristol-Key
                   ,
                   and
                   Weighmouth-Key
                   ,
                   at
                   Lime
                   ,
                   Foul-ness
                   ,
                   at
                   Sedmouth
                   ,
                   and
                   at
                   the
                   Start.
                   before
                   St.
                   Nicholas
                   ,
                   &
                   Podessinsk
                   in
                   Russia
                   ,
                   &c.
                   
                
                 
                   The
                   Age
                   of
                   the
                   Moon
                   .
                
                 
                   Bridgewater
                   ,
                   at
                   the
                   Fly
                   ,
                   before
                   the
                   Coast
                   of
                   Frizland
                   ,
                   Ex
                   water
                   ,
                   at
                   the
                   Lizard
                   by
                   the
                   Land
                   ,
                   at
                   Cape
                   Cleer
                   in
                   the
                   Road
                   of
                   the
                   Tessell
                   ,
                   and
                   off
                   the
                   Start
                   in
                   the
                   Channell
                   .
                   &c.
                   
                
                 
                   at
                   Yarmouth
                   ,
                   the
                   Hague
                   ,
                   between
                   Beachy
                   and
                   the
                   Isle
                   of
                   Wight
                   and
                   also
                   in
                   St.
                   Magnes
                   Sound
                   ,
                   and
                   at
                   Machnells
                   Castle
                   ,
                   at
                   Dublin
                   ,
                   at
                   Lambey
                   ,
                   Peter-port
                   ,
                   without
                   the
                   Fly
                   ,
                   &c.
                   
                
              
               
                 
                   East
                   .
                
                 
                   E.
                   by
                   S.
                   
                
                 
                   ☽
                   ☽
                
                 
                   E.
                   S.
                   E.
                   
                
                 
                   S.
                   E.
                   by
                   E.
                   
                
              
               
                 
                   West
                   .
                
                 
                   W.
                   by
                   N.
                   
                
                 
                   W.
                   N.
                   W.
                   
                
                 
                   N.
                   W
                   by
                   W.
                   
                
              
               
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   In.
                   
                
                 
                   De.
                   
                
                 
                   Ho
                
                 
                   Min.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
              
               
                 
                   6
                
                 
                   48
                
                 
                   7
                
                 
                   33
                
                 
                   1
                
                 
                   16
                
                 
                   8
                
                 
                   18
                
                 
                   9
                
                 
                   3
                
              
               
                 
                   7
                
                 
                   36
                
                 
                   8
                
                 
                   21
                
                 
                   2
                
                 
                   17
                
                 
                   9
                
                 
                   6
                
                 
                   9
                
                 
                   51
                
              
               
                 
                   8
                
                 
                   24
                
                 
                   9
                
                 
                   9
                
                 
                   3
                
                 
                   18
                
                 
                   9
                
                 
                   54
                
                 
                   10
                
                 
                   39
                
              
               
                 
                   9
                
                 
                   12
                
                 
                   9
                
                 
                   57
                
                 
                   4
                
                 
                   19
                
                 
                   10
                
                 
                   42
                
                 
                   11
                
                 
                   27
                
              
               
                 
                   10
                
                 
                   0
                
                 
                   10
                
                 
                   45
                
                 
                   5
                
                 
                   20
                
                 
                   11
                
                 
                   30
                
                 
                   12
                
                 
                   15
                
              
               
                 
                   10
                
                 
                   48
                
                 
                   11
                
                 
                   33
                
                 
                   6
                
                 
                   21
                
                 
                   12
                
                 
                   28
                
                 
                   1
                
                 
                   3
                
              
               
                 
                   1●
                
                 
                   36
                
                 
                   12
                
                 
                   21
                
                 
                   7
                
                 
                   22
                
                 
                   1
                
                 
                   6
                
                 
                   1
                
                 
                   51
                
              
               
                 
                   12
                
                 
                   24
                
                 
                   1
                
                 
                   9
                
                 
                   8
                
                 
                   23
                
                 
                   1
                
                 
                   54
                
                 
                   2
                
                 
                   39
                
              
               
                 
                   1
                
                 
                   12
                
                 
                   1
                
                 
                   57
                
                 
                   9
                
                 
                   24
                
                 
                   2
                
                 
                   42
                
                 
                   3
                
                 
                   27
                
              
               
                 
                   2
                
                 
                   0
                
                 
                   2
                
                 
                   45
                
                 
                   10
                
                 
                   25
                
                 
                   3
                
                 
                   30
                
                 
                   4
                
                 
                   15
                
              
               
                 
                   2
                
                 
                   48
                
                 
                   3
                
                 
                   33
                
                 
                   11
                
                 
                   26
                
                 
                   4
                
                 
                   18
                
                 
                   5
                
                 
                   3
                
              
               
                 
                   3
                
                 
                   36
                
                 
                   4
                
                 
                   21
                
                 
                   12
                
                 
                   27
                
                 
                   5
                
                 
                   6
                
                 
                   5
                
                 
                   5●
                
              
               
                 
                   4
                
                 
                   24
                
                 
                   5
                
                 
                   9
                
                 
                   13
                
                 
                   28
                
                 
                   5
                
                 
                   54
                
                 
                   6
                
                 
                   39
                
              
               
                 
                   5
                
                 
                   12
                
                 
                   5
                
                 
                   57
                
                 
                   14
                
                 
                   29
                
                 
                   6
                
                 
                   42
                
                 
                   7
                
                 
                   27
                
              
               
                 
                   6
                
                 
                   0
                
                 
                   6
                
                 
                   45
                
                 
                   15
                
                 
                   30
                
                 
                   7
                
                 
                   30
                
                 
                   8
                
                 
                   15
                
              
            
             
             
               
                 
                   at
                   Penthland-●irth
                   ,
                   at
                   Kirkwa
                   ,
                   at
                   Elwick
                   ,
                   at
                   the
                   Mull-head
                   at
                   Cateness
                   ,
                   at
                   Orkney
                   ,
                   at
                   Dumbar
                   ,
                   at
                   the
                   Bass
                   Island
                   ,
                   at
                   Kildren
                   ,
                   at
                   the
                   Isle
                   of
                   Man
                   ,
                   at
                   Harlem
                   ,
                   and
                   at
                   Home-head
                   ,
                   &c.
                   
                
                 
                   at
                   Alborough
                   at
                   the
                   Caskets
                   ,
                   and
                   at
                   Chamberness
                   ,
                   at
                   Dungeness
                   ,
                   and
                   Dun●ose
                   ,
                   thwart
                   of
                   Garnsey
                   in
                   the
                   Channel
                   ,
                   at
                   Ley-staff
                   ,
                   and
                   thwart
                   of
                   it
                   without
                   the
                   Banks
                   ,
                   at
                   Orfordness
                   ,
                   at
                   Shoram
                   ▪
                   at
                   Tergow
                   ,
                   at
                   Deep
                   .
                   &c.
                   
                
                 
                   The
                   Age
                   of
                   the
                   Moon
                   .
                
                 
                   in
                   the
                   Week
                   of
                   Cateness
                   ,
                   Bulleyn-deep
                   at
                   Cows
                   ,
                   in
                   Calice
                   Road
                   ,
                   at
                   Dover
                   ,
                   and
                   in
                   the
                   Downs
                   at
                   Harwich
                   ,
                   without
                   the
                   Banks
                   of
                   Harwich
                   ,
                   at
                   St.
                   Helens
                   ,
                   all
                   the
                   Coast
                   of
                   Normandy
                   and
                   Picardy
                   ,
                   in
                   Yarmouth-Road
                   ,
                   &c.
                   
                
                 
                   before
                   the
                   Haven
                   of
                   Caven
                   ,
                   in
                   the
                   Chamber
                   ,
                   between
                   Cripple-sand
                   and
                   the
                   Creyl
                   ,
                   and
                   at
                   Culsbot
                   ,
                   in
                   fair
                   Isle-Rhoads
                   ,
                   and
                   at
                   the
                   Northfore
                   land
                   ,
                   in
                   the
                   Chamber
                   ,
                   and
                   Gor-end
                   ,
                   at
                   Harwich
                   within
                   ,
                   at
                   Rye
                   ,
                   &c.
                   
                
              
               
                 
                   S.
                   E.
                   
                
                 
                   S.
                   E
                   by
                   S.
                   
                
                 
                   ☽
                   ☽
                
                 
                   S.
                   S
                   E.
                   
                
                 
                   S.
                   by
                   E.
                   
                
              
               
                 
                   N.
                   W.
                   
                
                 
                   N
                   W.
                   by
                   N.
                   
                
                 
                   N.
                   N.
                   W.
                   
                
                 
                   N.
                   by
                   W.
                   
                
              
               
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   In.
                   
                
                 
                   De.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
                 
                   Ho.
                   
                
                 
                   Min.
                   
                
              
               
                 
                   9
                
                 
                   48
                
                 
                   10
                
                 
                   33
                
                 
                   1
                
                 
                   16
                
                 
                   11
                
                 
                   ●8
                
                 
                   12
                
                 
                   3
                
              
               
                 
                   10
                
                 
                   36
                
                 
                   11
                
                 
                   22
                
                 
                   2
                
                 
                   17
                
                 
                   12
                
                 
                   6
                
                 
                   12
                
                 
                   51
                
              
               
                 
                   11
                
                 
                   24
                
                 
                   12
                
                 
                   9
                
                 
                   3
                
                 
                   18
                
                 
                   12
                
                 
                   54
                
                 
                   1
                
                 
                   39
                
              
               
                 
                   12
                
                 
                   12
                
                 
                   12
                
                 
                   57
                
                 
                   4
                
                 
                   19
                
                 
                   1
                
                 
                   42
                
                 
                   2
                
                 
                   27
                
              
               
                 
                   1
                
                 
                   0
                
                 
                   1
                
                 
                   45
                
                 
                   5
                
                 
                   20
                
                 
                   2
                
                 
                   30
                
                 
                   3
                
                 
                   ●5
                
              
               
                 
                   1
                
                 
                   48
                
                 
                   2
                
                 
                   33
                
                 
                   6
                
                 
                   21
                
                 
                   3
                
                 
                   18
                
                 
                   4
                
                 
                   3
                
              
               
                 
                   2
                
                 
                   36
                
                 
                   3
                
                 
                   21
                
                 
                   7
                
                 
                   22
                
                 
                   4
                
                 
                   6
                
                 
                   4
                
                 
                   51
                
              
               
                 
                   3
                
                 
                   24
                
                 
                   4
                
                 
                   9
                
                 
                   8
                
                 
                   23
                
                 
                   4
                
                 
                   54
                
                 
                   5
                
                 
                   39
                
              
               
                 
                   4
                
                 
                   12
                
                 
                   4
                
                 
                   57
                
                 
                   9
                
                 
                   24
                
                 
                   5
                
                 
                   42
                
                 
                   6
                
                 
                   27
                
              
               
                 
                   5
                
                 
                   0
                
                 
                   5
                
                 
                   45
                
                 
                   10
                
                 
                   25
                
                 
                   6
                
                 
                   30
                
                 
                   7
                
                 
                   15
                
              
               
                 
                   5
                
                 
                   48
                
                 
                   6
                
                 
                   33
                
                 
                   11
                
                 
                   26
                
                 
                   7
                
                 
                   18
                
                 
                   8
                
                 
                   3
                
              
               
                 
                   6
                
                 
                   36
                
                 
                   7
                
                 
                   21
                
                 
                   12
                
                 
                   27
                
                 
                   8
                
                 
                   6
                
                 
                   8
                
                 
                   ●●
                
              
               
                 
                   7
                
                 
                   24
                
                 
                   8
                
                 
                   9
                
                 
                   13
                
                 
                   28
                
                 
                   8
                
                 
                   54
                
                 
                   9
                
                 
                   ●9
                
              
               
                 
                   8
                
                 
                   12
                
                 
                   8
                
                 
                   57
                
                 
                   14
                
                 
                   29
                
                 
                   9
                
                 
                   42
                
                 
                   10
                
                 
                   17
                
              
               
                 
                   9
                
                 
                   0
                
                 
                   9
                
                 
                   45
                
                 
                   15
                
                 
                   30
                
                 
                   10
                
                 
                   30
                
                 
                   11
                
                 
                   15
                
              
            
          
        
      
       
         
         
           A
           full
           and
           compleat
           Everlasting
           Tyde-Table
           ,
           for
           all
           the
           Sea-Coasts
           and
           Harbours
           of
           Great
           Brittain
           ,
           France
           and
           Ireland
           ,
           Holland
           ,
           Spain
           ,
           Flanders
           ,
           Norway
           .
           Biscay
           ,
           &c.
           Shewing
           exactly
           what
           Moon
           maketh
           a
           full-Sea
           ,
           in
           all
           the
           aforesaid
           places
           ,
           or
           into
           any
           other
           place
           of
           the
           World
           ;
           according
           to
           these
           foregoing
           Everlasting
           Tyde-Tables
           ,
           of
           the
           Ebbings
           and
           Flowings
           ,
           Hours
           and
           Minuts
           of
           the
           Moons
           daily
           Age
           :
           because
           that
           all
           could
           not
           be
           contained
           into
           the
           said
           foregoing
           Tables
           .
           The
           like
           never
           heretofore
           by
           any
           ,
           so
           fully
           published
           .
        
         
           South
           and
           North
           Moon
           ,
           maketh
           a
           full-Sea
           ,
           at
           Buchan-ness
           ,
           and
           all
           along
           the
           South-side
           of
           the
           Murray-F●rth
           ,
           (
           viz
           )
           
             Cromarty
             ,
             Millorchy
             ,
             Inverness
             ,
             Findorne
             ,
             Spey
             :
          
           also
           
             Ba●●ff
             ,
             Peterhead
             ,
             Isle
             of
             Wight
             ,
          
           at
           Deal
           ,
           at
           Beachy
           ,
           and
           before
           the
           Race
           of
           Blanquet
           ,
           in
           the
           Condado
           ,
           at
           Dover-Peer
           ,
           and
           before
           Dunkirk
           ,
           at
           Emden
           ,
           before
           the
           Elve
           ,
           before
           the
           Eyder
           ,
           and
           before
           Enchusen
           ,
           on
           the
           Coast
           of
           Flanders
           ,
           in
           the
           Road
           of
           Gibralter
           ,
           at
           Graveling
           and
           before
           Gherbrough
           ,
           before
           the
           Hever
           ,
           before
           Horn
           ,
           and
           at
           Hampton-Key
           ,
           at
           
           Jutland-Islands
           ,
           
             Kentish
             Knock
          
           ,
           at
           Liegh
           ,
           and
           at
           Newport
           half
           Tyde
           ,
           at
           Portsmouth
           half
           Tyde
           ,
           at
           Qu●brough
           ,
           in
           the
           Sleeve
           ,
           between
           Vshant
           and
           Silly
           ,
           at
           the
           Shooe
           ,
           at
           the
           Spits
           ,
           at
           South-Hampton
           ,
           and
           all
           along
           the
           Swin
           ,
           before
           Vr●ck
        
         
           S.
           by
           W.
           or
           ,
           N.
           by
           E.
           Moon
           ,
           at
           New-burgh
           ,
           ABERDEEN
           ,
           
             Stonhyve
             ,
             Redbane
          
           ,
           at
           Blacktail
           ,
           and
           thwart
           of
           Beachy
           in
           the
           Offing
           ,
           in
           the
           Camber
           of
           Rie
           ,
           at
           Flushing
           within
           the
           Maes
           ,
           and
           at
           Maldon
           ,
           at
           the
           West
           end
           of
           the
           Nower
           ,
           at
           Rochester
           ,
           within
           Terveer
           ,
           at
           Winchelsey
           .
        
         
         
           S.
           S.
           W.
           or
           ,
           N.
           N.
           E.
           Moon
           ,
           at
           Montrose
           ,
           the
           out
           end
           of
           
             Tay
             ,
             St.
             Andrews
             ,
             Cryle
             ,
             E●ster
             ,
          
           and
           all
           along
           the
           Coast
           of
           Fiffe
           to
           Brunt-Island
           ,
           at
           Army
           ,
           at
           Black-ness
           in
           Bluet
           ,
           at
           Bell-Isle
           ,
           at
           Baraik●
           ,
           without
           Calice
           ,
           at
           Corpus-Christi
           point
           ,
           before
           Camfer
           ,
           and
           at
           Camfor
           ,
           at
           Edam
           ,
           before
           the
           Fen
           in
           the
           Channel
           ,
           before
           Gourie
           ,
           and
           at
           Graves-end
           ,
           under
           Holy-Island
           ,
           and
           at
           Horn
           ,
           before
           the
           Maes
           ,
           at
           Ramkins
           ,
           before
           Terveer
           ,
           before
           the
           River
           of
           Thames
           ,
           and
           at
           Tinmouth
           ,
           at
           the
           Weilings
           ,
           and
           from
           the
           West
           end
           of
           the
           Weight
           ,
           before
           Yarmouth
           ,
           on
           the
           Coast
           of
           Zealand
           ,
           at
           Fern-head
           .
        
         
           S.
           W.
           by
           S.
           or
           ,
           N.
           E.
           by
           N.
           Moon
           ,
           at
           LIETH
           in
           the
           
             Firth
             ,
             Dundee
             ,
             Brunt-Island
             ,
             Holy-Island
             ,
             Lucas
             ,
          
           without
           Bluet
           ,
           at
           Denby
           ,
           without
           Fountnay
           ,
           at
           Lisbon
           ,
           before
           the
           Weilings
           .
        
         
           S.
           W.
           or
           ,
           N.
           E.
           Moon
           ,
           at
           
             Ennerkything
             ,
             Queens-ferrie
             ,
             St.
             Margarets-hoop
             ,
             Borrowstonness
             ,
             Lyme-Kills
             ,
          
           and
           all
           above
           Inchgarvie
           ,
           except
           Stirling-Bridge
           ,
           at
           LONDON
           ,
           and
           before
           Newcastle
           ,
           at
           Amsterdam
           ,
           and
           Armentiers
           ,
           the
           River
           of
           Bourdeaux
           ,
           the
           South
           Coast
           of
           Britaign
           ,
           the
           Coast
           of
           Biscay
           ,
           at
           Bockness
           ,
           between
           Calice
           and
           Dover
           ,
           before
           Conquet
           ,
           and
           at
           the
           North-Cape
           ,
           at
           Dort
           ,
           without
           the
           Banks
           of
           Flanders
           .
           at
           Groy
           ,
           at
           Gascoign
           ,
           and
           the
           Coast
           of
           Gallicia
           ,
           before
           Hartlepool
           ,
           on
           the
           West
           Coast
           of
           
             Ireland
             ,
             Killiars
          
           ,
           and
           before
           the
           River
           of
           Nantz
           ,
           at
           Orkness
           ,
           at
           the
           
             Penns
             ,
             Porthus
          
           ,
           and
           Picton
           ;
           at
           Roterdam
           ,
           in
           
             Robin-Hoods
             Bay
          
           ,
           and
           from
           the
           Race
           to
           the
           Pole-head
           ,
           upon
           the
           Coast
           of
           Spain
           ,
           and
           in
           Shotland
           ,
           before
           the
           Tees
           ,
           and
           before
           the
           Bay
           of
           Tinmouth
           ,
           at
           Vse
           ,
           and
           in
           the
           Zierick-Sea
           .
        
         
           S.
           W.
           by
           W.
           or
           ,
           N.
           E.
           by
           E.
           Moon
           ,
           from
           Buchan-ness
           ,
           and
           all
           alongst
           the
           Coast
           without
           ,
           above
           the
           May
           ,
           or
           Highland
           in
           the
           South-Firth
           ,
           and
           from
           Flambrough-head
           ,
           to
           Birdlington-Bay
           without
           ,
           Ostond
           ,
           at
           Brest
           before
           the
           Bass
           ,
           the
           River
           of
           Bourdeaux
           within
           the
           Haven
           ,
           and
           at
           Berwick
           ,
           at
           Huntclif-foot
           ,
           at
           the
           Maes
           ,
           and
           before
           
             St.
             
             Mathews
             Point
          
           ,
           on
           the
           Coast
           of
           Portugall
           ,
           at
           Roven
           ,
           and
           before
           Rochel
           ,
           at
           Silly
           ,
           and
           in
           the
           Sound
           ,
           at
           Staples
           ,
           between
           Vshant
           and
           the
           Main
           .
        
         
           W.
           S.
           W.
           or
           ,
           E.
           N.
           E.
           Moon
           ,
           A
           little
           off
           the
           Shore
           before
           Humber
           ,
           between
           Bridlington
           and
           Lower-ness
           ,
           at
           Lands-end
           of
           Golph
           ,
           from
           Ostend
           to
           
             St.
             Catharines
          
           ,
           at
           Aberwark
           ,
           in
           the
           
             Bree-sound
             ,
             Bloy
             ,
             Baltimore
          
           ,
           at
           Cork
           ,
           at
           Calice
           ,
           and
           in
           the
           Creek
           ,
           at
           Dungarvan
           ,
           at
           Flambrough
           ,
           and
           Bridlington
           ,
           at
           Kingsale
           ,
           in
           Mousehole
           ,
           at
           Mathews
           ,
           and
           within
           
             Mounts
             Bay
          
           ,
           at
           the
           Clefts
           of
           the
           Texel
           ,
           in
           the
           Vourd
           ,
           at
           the
           Bay
           within
           Vshant
           ,
           in
           the
           Sea
           of
           Wales
           ,
           and
           Severn
           ,
           at
           Yough-Hall
           ,
           before
           Scarbrough
           ,
           at
           Seven-Isles
           ,
           without
           the
           Haven
           in
           the
           Broad
           Sound
           ,
           at
           Lawrens
           ,
           in
           
           Cork-Haven
           .
        
         
           W.
           by
           S.
           or
           ,
           E.
           by
           N.
           Moon
           ,
           at
           Ar●roth
           ,
           at
           Caldy
           ,
           and
           in
           the
           Bay
           of
           Canarvan
           ,
           at
           the
           Fourn
           ,
           in
           Foy
           ,
           at
           Falmouth
           ,
           at
           
             Garnsey
             ▪
          
           at
           Humber
           ,
           in
           all
           the
           Havens
           on
           the
           South
           Coast
           of
           Ireland
           ,
           thwart
           of
           Londey
           ,
           and
           before
           Line
           ,
           in
           Malford
           ,
           at
           Moonless
           ,
           at
           
             St.
             Maloes
          
           ,
           at
           New-Castle
           ,
           in
           Plimouth
           ,
           and
           before
           
             St.
             Pauls
          
           ,
           in
           Ramsey
           ,
           at
           the
           mouth
           of
           Severn
           ,
           between
           Silly
           and
           the
           Lizard
           ,
           at
           the
           Spurn
           ,
           in
           Wales
           ,
           at
           Merles
           ,
           and
           all
           along
           the
           Coast
           of
           Bristol
           .
        
         
           E.
           or
           W.
           Moon
           ,
           at
           Abermorick
           ,
           and
           Antwerp
           ,
           before
           Bremen
           ,
           and
           at
           Blackney
           ,
           in
           the
           Channel
           before
           Bourdeaux
           ,
           and
           at
           Bristol
           ,
           at
           Concallo
           ,
           at
           Dartmouth
           ,
           before
           Hambrough
           ,
           at
           Hull
           ,
           at
           the
           Holms
           ,
           and
           before
           Humbers
           mouth
           ,
           at
           Lin
           half
           ●yde
           ,
           at
           Londey
           ,
           at
           
             St
             Pauls
          
           in
           the
           Haven
           ,
           without
           Silly
           ,
           in
           the
           Channel
           ,
           and
           at
           Salcomb
           ,
           in
           Torbay
           ,
           and
           before
           the
           Tessell
           ,
           without
           Vshant
           ,
           at
           Wells
           ,
           at
           Weighmouth
           ,
           and
           at
           Waterford
           ,
           and
           
             St.
             Davids-head
          
           .
        
         
           E.
           by
           S
           ▪
           or
           ,
           W.
           by
           N.
           Moon
           ,
           at
           Bristol-Key
           ,
           between
           Foy
           and
           
             Falmouth
             ▪
          
           in
           the
           Channel
           ,
           and
           at
           Foulness
           ,
           at
           Lime
           ,
           before
           
             St.
             Nicolas
          
           ,
           before
           Podessinsk
           ,
           in
           Russia
           ,
           at
           
           Sedmouth
           ,
           and
           at
           the
           Start
           ,
           at
           
           Weighmouth-Key
           .
        
         
           E.
           S
           ,
           E.
           or
           ,
           W.
           N.
           W.
           Moon
           ,
           at
           Bridgwater
           ,
           at
           Cape
           Cleer
           ,
           before
           the
           Coast
           of
           Friezland
           ,
           and
           the
           Fly
           ,
           at
           Kilduyn
           ,
           at
           the
           Lizard
           by
           the
           Land
           ,
           between
           Musehole
           and
           Falmouth
           ,
           and
           in
           Milford
           Haven
           ,
           thwart
           of
           Plimouth
           ,
           Off
           the
           Start
           in
           the
           Channel
           ,
           in
           the
           Road
           of
           the
           Texel
           ,
           at
           the
           Ness
           by
           Wieringben
           ,
           and
           at
           Winterton
           ,
           at
           Exwater
           ,
           at
           Lands-end
           .
        
         
           S.
           E.
           by
           E.
           or
           ,
           N.
           W.
           by
           W.
           Moon
           ,
           between
           Beachy
           and
           the
           
             Isle
             of
             Wight
          
           without
           the
           Caskets
           in
           the
           Channel
           ,
           at
           Dublin
           ,
           without
           the
           Fly
           ,
           at
           Lambey
           ,
           in
           
             St.
             Magnes
          
           Sound
           ,
           at
           Machnells
           Castle
           ,
           at
           the
           Needles
           ,
           at
           
             Isle
             of
             Wight
          
           ,
           thwart
           of
           the
           
             Isle
             of
             Wight
          
           in
           the
           Channel
           ,
           all
           within
           the
           
             Isle
             of
             Wight
          
           ,
           between
           the
           
             Isle
             of
             Wight
          
           and
           Beachy
           by
           the
           Shore
           ,
           at
           Yarmouth
           ,
           at
           Peter-Port
           ,
           at
           Harflew
           ,
           at
           the
           Hague
           .
        
         
           S.
           E.
           or
           ,
           N.
           W.
           Moon
           ,
           at
           Penthland-Firth
           ,
           at
           Kirkwa
           ,
           at
           Elwick
           ,
           at
           the
           Mull-head
           ,
           at
           Catness
           ,
           at
           Orkney
           ,
           the
           Bass-Island
           ,
           at
           Dumbar
           ,
           at
           Kildren
           ,
           at
           the
           
             Isle
             of
             Man
          
           ,
           between
           Garnsey
           and
           the
           Caskets
           ,
           before
           Cromer
           ,
           before
           the
           Casket
           ,
           and
           Garnsey
           ,
           at
           Seven-Clifts
           ,
           before
           the
           Eastern
           and
           Western
           Emes
           ,
           and
           at
           Egmont
           ,
           at
           Frieze
           ,
           and
           Fair-Isles
           ,
           between
           Garnsey
           and
           Caskets
           ,
           at
           Harlem
           ,
           and
           at
           Homehead
           ,
           at
           Kildive
           ,
           at
           the
           Race
           of
           Portland
           ,
           within
           the
           Seyn
           ,
           before
           Schelbagh
           ,
           and
           at
           
             Seven
             Cliffs
          
           ,
           at
           the
           East
           end
           of
           the
           Weight
           ,
           and
           on
           Wieringen-Flats
           ,
           at
           Pool
           ,
           at
           Farro-head
           in
           the
           Channel
           ,
           between
           
             Farro
             head
          
           ,
           and
           the
           
             Mull
             of
             Kintire
          
        
         
           S.
           E.
           by
           S.
           or
           ,
           N
           W.
           by
           N.
           Moon
           ,
           at
           Alborough
           ,
           at
           the
           Caskets
           ,
           and
           at
           Chamberness
           ,
           at
           Dungeness
           ,
           and
           Dunnose
           ,
           thwart
           of
           Garnsey
           in
           the
           Channel
           ,
           at
           Leystaff
           ,
           and
           thwart
           of
           it
           without
           the
           Banks
           ,
           at
           Orford-ness
           ,
           at
           Shoram
           ,
           at
           Tergow
           ,
           at
           Deep
           .
        
         
           S.
           S.
           E.
           or
           ,
           N.
           N.
           W.
           Moon
           ,
           
             Bulleyn
             deep
          
           ,
           at
           Cows
           ,
           in
           the
           Foss
           of
           Caen
           ,
           in
           Calice
           Road
           ,
           and
           in
           
           Chamberness-Road
           ,
           
           at
           Dover
           ,
           and
           in
           the
           Downs
           ,
           in
           the
           Freith
           ,
           and
           at
           the
           South-Foreland
           ,
           at
           
             St.
             Helens
          
           ,
           at
           Harwich
           ,
           and
           without
           the
           Banks
           of
           Harwich
           ,
           in
           Leystaff
           Road
           ,
           and
           at
           Long-sand-head
           ,
           all
           the
           Coast
           of
           Normandy
           ,
           and
           Picardy
           ,
           at
           Orfordness
           without
           the
           Banks
           ,
           and
           between
           Orford
           and
           Orwell-Waves
           ,
           at
           Seyn-head
           ,
           in
           Yarmouth
           Road
           ,
           and
           in
           
           Yarmouth-Haven
           ,
           at
           Brassie-Sound
           ,
           at
           
             St.
             Iohns-Deluce
          
           ,
           at
           Ca●estoun
           ,
           and
           at
           Scra●sler
           .
        
         
           S.
           by
           E.
           or
           ,
           N.
           by
           W.
           Moon
           ,
           before
           the
           Haven
           of
           Caven
           ,
           in
           the
           Chamber
           ,
           between
           Cripple
           Sand
           and
           the
           Creyl
           ,
           and
           at
           Culshot
           ,
           in
           Fair-Isle
           Roads
           ,
           and
           at
           the
           North-Foreland
           ,
           in
           the
           Chamber
           ,
           and
           Gore●end
           ,
           at
           Harwich
           within
           ,
           before
           Margate
           ,
           between
           the
           Naze
           and
           Warhead
           of
           Lower
           ,
           at
           Orfordness
           within
           the
           Sands
           ,
           at
           Rye
           ,
           and
           into
           Thames-Roads
           ,
           at
           Calshot
           .
        
         
           
             
               A
               Table
               ,
               shewing
               the
               exact
               Rising
               and
               Setting
               of
               the
               Sun
               ,
               for
               every
               five
               dayes
               of
               each
               Moneth
               ,
               with
               the
               Degrees
               of
               the
               twelve
               Signs
               propper
               to
               the
               Suns-Place
               ;
               for
               the
               Lat.
               of
               57
               degrees
               .
            
             
               
                 IANVARY
                 .
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Monoth
                 .
              
               
                 The
                 Sun
                 riseth
                 ,
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 22
                 ♑
              
               
                 1
              
               
                 8
                 Hours
                 32
                 Min
              
               
                 3
                 Hours
                 28
                 Min.
                 
              
            
             
               
                 26
              
               
                 5
              
               
                 8
                 Hours
                 24
                 Min.
                 
              
               
                 3
                 Hours
                 36
                 Min
                 ▪
              
            
             
               
                 1
                 ♒
              
               
                 10
              
               
                 8
                 Hours
                 18
                 Min
              
               
                 3
                 Hours
                 42
                 Min.
                 
              
            
             
               
                 6
              
               
                 15
              
               
                 8
                 Hours
                 6
                 Min.
                 
              
               
                 3
                 Hours
                 54
                 Min
                 ▪
              
            
             
               
                 11
              
               
                 20
              
               
                 7
                 Hours
                 55
                 Min.
                 
              
               
                 4
                 Hours
                 5
                 Min.
                 
              
            
             
               
                 16
              
               
                 25
              
               
                 7
                 Hours
                 46
                 Min.
                 
              
               
                 4
                 Hours
                 14
                 Min.
                 
              
            
             
               
                 
                 FEBRVARY
                 .
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
              
               
                 The
                 Sun
                 riseth
                 .
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 22
                 ♑
              
               
                 1
              
               
                 7
                 Hours
                 29
                 Min.
                 
              
               
                 4
                 Hours
                 31
                 Min.
                 
              
            
             
               
                 27
              
               
                 5
              
               
                 7
                 Hours
                 20
                 Min.
                 
              
               
                 4
                 Hours
                 40
                 Min.
                 
              
            
             
               
                 2
                 ●●
              
               
                 10
              
               
                 7
                 Hours
                 8
                 Min.
                 
              
               
                 4
                 Hours
                 52
                 Min.
                 
              
            
             
               
                 7
              
               
                 15
              
               
                 6
                 Hours
                 54
                 Min.
                 
              
               
                 5
                 Hours
                 6
                 Min.
                 
              
            
             
               
                 12
              
               
                 20
              
               
                 6
                 Hours
                 44
                 Min.
                 
              
               
                 5
                 Hours
                 16
                 Min.
                 
              
            
             
               
                 17
              
               
                 25
              
               
                 6
                 Hours
                 31
                 Min.
                 
              
               
                 5
                 Hours
                 29
                 Min.
                 
              
            
             
               
                 MARCH
                 .
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
              
               
                 The
                 Sun
                 riseth
                 .
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 21
                 ●●
              
               
                 1
              
               
                 6
                 Hours
                 22
                 Min.
                 
              
               
                 5
                 Hours
                 38
                 Min.
                 
              
            
             
               
                 25
              
               
                 5
              
               
                 6
                 Hours
                 12
                 Min.
                 
              
               
                 5
                 Hours
                 48
                 Min.
                 
              
            
             
               
                 1
                 ●●
              
               
                 10
              
               
                 6
                 Hours
                 0
                 Min.
                 
              
               
                 6
                 Hours
                 0
                 Min.
                 
              
            
             
               
                 5
              
               
                 15
              
               
                 5
                 Hours
                 48
                 Min.
                 
              
               
                 6
                 Hours
                 12
                 Min.
                 
              
            
             
               
                 10
              
               
                 20
              
               
                 5
                 Hours
                 36
                 Min.
                 
              
               
                 6
                 Hours
                 24
                 Min.
                 
              
            
             
               
                 15
              
               
                 25
              
               
                 5
                 Hours
                 23
                 Min.
                 
              
               
                 6
                 Hours
                 37
                 Min.
                 
              
            
             
               
                 APRIL
                 ,
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
                 .
              
               
                 The
                 Sun
                 riseth
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 22
                 ♈
              
               
                 1
              
               
                 5
                 Hours
                 7
                 Min.
                 
              
               
                 6
                 Hours
                 53
                 Min.
                 
              
            
             
               
                 26
              
               
                 5
              
               
                 5
                 Hours
                 0
                 Min.
                 
              
               
                 7
                 Hours
                 0
                 Min.
                 
              
            
             
               
                 1
                 ♉
              
               
                 10
              
               
                 4
                 Hours
                 47
                 Min.
                 
              
               
                 7
                 Hours
                 13
                 Min.
                 
              
            
             
               
                 5
              
               
                 15
              
               
                 4
                 Hours
                 35
                 Min
                 ▪
              
               
                 7
                 Hours
                 25
                 Min.
                 
              
            
             
               
                 10
              
               
                 20
              
               
                 4
                 Hours
                 26
                 Min.
                 
              
               
                 7
                 Hours
                 34
                 Min.
                 
              
            
             
               
                 15
              
               
                 25
              
               
                 4
                 Hours
                 12
                 Min.
                 
              
               
                 7
                 Hours
                 48
                 Min.
                 
              
            
             
               
                 MAY.
                 
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
                 .
              
               
                 The
                 Sun
                 riseth
                 .
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 21
                 ♉
              
               
                 1
              
               
                 4
                 Hours
                 0
                 Min.
                 
              
               
                 8
                 Hours
                 0
                 Min.
                 
              
            
             
               
                 25
              
               
                 5
              
               
                 3
                 Hours
                 52
                 Min.
                 
              
               
                 8
                 Hours
                 8
                 Min.
                 
              
            
             
               
                 30
              
               
                 10
              
               
                 3
                 Hours
                 42
                 Min.
                 
              
               
                 8
                 Hours
                 18
                 Min.
                 
              
            
             
               
                 4
                 ♊
              
               
                 15
              
               
                 3
                 Hours
                 36
                 Min
              
               
                 8
                 Hours
                 24
                 Min.
                 
              
            
             
               
                 6
              
               
                 20
              
               
                 3
                 Hours
                 27
                 Min.
                 
              
               
                 8
                 Hours
                 33
                 Min.
                 
              
            
             
               
                 14
              
               
                 25
              
               
                 3
                 Hours
                 20
                 Min.
                 
              
               
                 8
                 Hours
                 40
                 Min.
                 
              
            
             
               
                 
                 JVNE
                 ,
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
              
               
                 The
                 Sun
                 riseth
                 .
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 21
                 ♊
              
               
                 1
              
               
                 3
                 Hours
                 15
                 Min.
                 
              
               
                 8
                 Hours
                 45
                 Min.
                 
              
            
             
               
                 24
              
               
                 5
              
               
                 3
                 Hours
                 13
                 Min.
                 
              
               
                 8
                 Hours
                 47
                 Min.
                 
              
            
             
               
                 27
              
               
                 10
              
               
                 3
                 Hours
                 12
                 Min
              
               
                 8
                 Hours
                 48
                 Min.
                 
              
            
             
               
                 4
                 ♋
              
               
                 15
              
               
                 3
                 Hours
                 12
                 Min.
                 
              
               
                 8
                 Hours
                 48
                 Min.
                 
              
            
             
               
                 9
              
               
                 20
              
               
                 3
                 Hours
                 15
                 Min.
                 
              
               
                 8
                 Hours
                 45
                 Min.
                 
              
            
             
               
                 13
              
               
                 25
              
               
                 3
                 Hours
                 16
                 Min.
                 
              
               
                 8
                 Hours
                 42
                 Min.
                 
              
            
             
               
                 JVLY
                 .
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
              
               
                 The
                 Sun
                 riseth
                 .
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 19
                 ♋
              
               
                 1
              
               
                 3
                 Hours
                 25
                 Min.
                 
              
               
                 8
                 Hours
                 35
                 Min.
                 
              
            
             
               
                 23
              
               
                 5
              
               
                 3
                 Hours
                 34
                 Min.
                 
              
               
                 8
                 Hours
                 26
                 Min.
                 
              
            
             
               
                 28
              
               
                 10
              
               
                 3
                 Hours
                 38
                 Min
              
               
                 8
                 Hours
                 22
                 Min.
                 
              
            
             
               
                 2
                 ♌
              
               
                 15
              
               
                 3
                 Hours
                 47
                 Min.
                 
              
               
                 8
                 Hours
                 13
                 Min.
                 
              
            
             
               
                 7
              
               
                 20
              
               
                 3
                 Hours
                 56
                 Min
                 ,
              
               
                 8
                 Hours
                 4
                 Min.
                 
              
            
             
               
                 12
              
               
                 25
              
               
                 4
                 Hours
                 6
                 Min.
                 
              
               
                 7
                 Hours
                 54
                 Min.
                 
              
            
             
               
                 AVGVST
                 .
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
                 .
              
               
                 The
                 Sun
                 riseth
                 ,
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 19
                 ♌
              
               
                 1
              
               
                 4
                 Hours
                 21
                 Min.
                 
              
               
                 7
                 Hours
                 39
                 Min.
                 
              
            
             
               
                 23
              
               
                 5
              
               
                 4
                 Hours
                 33
                 Min.
                 
              
               
                 7
                 Hours
                 29
                 Min
              
            
             
               
                 27
              
               
                 10
              
               
                 4
                 Hours
                 40
                 Min
              
               
                 7
                 Hours
                 20
                 Min
              
            
             
               
                 2
                 ♍
              
               
                 15
              
               
                 4
                 Hours
                 52
                 Min.
                 
              
               
                 7
                 Hours
                 8
                 Min
              
            
             
               
                 7
              
               
                 20
              
               
                 5
                 Hours
                 3
                 Min
              
               
                 6
                 Hours
                 57
                 Min.
                 
              
            
             
               
                 12
              
               
                 25
              
               
                 5
                 Hours
                 16
                 Min.
                 
              
               
                 6
                 Hours
                 44
                 Min.
                 
              
            
             
               
                 SEPTEMBER
                 .
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
                 .
              
               
                 The
                 Sun
                 riseth
                 ,
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 ●9
                 ♍
              
               
                 1
              
               
                 5
                 Hours
                 33
                 Min.
                 
              
               
                 6
                 Hours
                 27
                 Min.
                 
              
            
             
               
                 23
              
               
                 5
              
               
                 5
                 Hours
                 43
                 Min.
                 
              
               
                 6
                 Hours
                 17
                 Min.
                 
              
            
             
               
                 27
              
               
                 10
              
               
                 5
                 Hours
                 55
                 Min.
                 
              
               
                 6
                 Hours
                 5
                 Min.
                 
              
            
             
               
                 2
                 ♎
              
               
                 15
              
               
                 6
                 Hours
                 4
                 Min
              
               
                 5
                 Hours
                 56
                 Min.
                 
              
            
             
               
                 7
              
               
                 20
              
               
                 6
                 Hours
                 17
                 Min.
                 
              
               
                 5
                 Hours
                 43
                 Min.
                 
              
            
             
               
                 12
              
               
                 25
              
               
                 6
                 Hours
                 29
                 Min.
                 
              
               
                 5
                 Hours
                 31
                 Min.
                 
              
            
             
               
                 
                 OCTOBER
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
                 .
              
               
                 The
                 Sun
                 riseth
                 ,
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 18
                 ♎
              
               
                 1
              
               
                 6
                 Hours
                 44
                 Min.
                 
              
               
                 5
                 Hours
                 16
                 Min.
                 
              
            
             
               
                 22
              
               
                 5
              
               
                 6
                 Hours
                 53
                 Min.
                 
              
               
                 5
                 Hours
                 7
                 Min.
                 
              
            
             
               
                 27
              
               
                 10
              
               
                 7
                 Hours
                 6
                 Min.
                 
              
               
                 4
                 Hours
                 54
                 Min.
                 
              
            
             
               
                 2
                 ♏
              
               
                 15
              
               
                 7
                 Hours
                 15
                 Min.
                 
              
               
                 4
                 Hours
                 45
                 Min.
                 
              
            
             
               
                 7
              
               
                 20
              
               
                 7
                 Hours
                 29
                 Min.
                 
              
               
                 4
                 Hours
                 31
                 Min.
                 
              
            
             
               
                 12
              
               
                 25
              
               
                 7
                 Hours
                 41
                 Min.
                 
              
               
                 4
                 Hours
                 19
                 Min.
                 
              
            
             
               
                 NOVEMBER
                 .
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
                 .
              
               
                 The
                 Sun
                 riseth
                 ,
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 19
                 ♏
              
               
                 1
              
               
                 7
                 Ho.
                 56
                 Min.
                 
              
               
                 4
                 Ho.
                 4
                 Min.
                 
              
            
             
               
                 23
              
               
                 5
              
               
                 8
                 Ho.
                 4
                 Min.
                 
              
               
                 3
                 Ho.
                 56
                 Min.
                 
              
            
             
               
                 28
              
               
                 10
              
               
                 8
                 Ho.
                 10
                 Min.
                 
              
               
                 3
                 Ho.
                 50
                 Min.
                 
              
            
             
               
                 3
                 ♐
              
               
                 15
              
               
                 8
                 Ho.
                 23
                 Min.
                 
              
               
                 3
                 Ho.
                 37
                 Min.
                 
              
            
             
               
                 9
              
               
                 20
              
               
                 8
                 Ho.
                 33
                 Min
              
               
                 3
                 Ho.
                 27
                 Min.
                 
              
            
             
               
                 14
              
               
                 25
              
               
                 8
                 Ho.
                 39
                 Min
              
               
                 3
                 Ho.
                 21
                 Min.
                 
              
            
             
               
                 DECEMBER
                 ,
              
            
             
               
                 Sun's
                 Place
              
               
                 Days
                 of
                 the
                 Moneth
                 .
              
               
                 The
                 Sun
                 riseth
                 .
              
               
                 The
                 Sun
                 setteth
                 .
              
            
             
               
                 20
                 ♐
              
               
                 1
              
               
                 8
                 Ho.
                 4
                 Min.
                 
              
               
                 3
                 Ho.
                 8
                 Min.
                 
              
            
             
               
                 24
              
               
                 5
              
               
                 8
                 Ho.
                 47
                 Min
              
               
                 3
                 Ho.
                 13
                 Min.
                 
              
            
             
               
                 29
              
               
                 10
              
               
                 8
                 Ho.
                 48
                 Min.
                 
              
               
                 3
                 Ho.
                 12
                 Min.
                 
              
            
             
               
                 1
                 ♑
              
               
                 15
              
               
                 8
                 Ho.
                 48
                 Min
              
               
                 3
                 Ho.
                 12
                 Min.
                 
              
            
             
               
                 9
              
               
                 20
              
               
                 8
                 Ho.
                 45
                 Min.
                 
              
               
                 3
                 Ho.
                 15
                 Min.
                 
              
            
             
               
                 14
              
               
                 25
              
               
                 8
                 Ho.
                 41
                 Min.
                 
              
               
                 3
                 Ho.
                 19
                 Min.
                 
              
            
          
        
         
           
             Thus
             
               Courteous
               Reader
            
             ,
             so
             much
             here
             is
             done
             ,
          
           
             Which
             may
             please
             all
             ,
             save
             Paterson
             alone
             :
          
           
             Therefore
             to
             Our
             Dialogue
             ,
             let
             's
             proceed
             ,
          
           
             In
             which
             I
             hope
             to
             clear
             my self
             indeed
             .
          
        
      
       
         
         
           A
           Mathematicall
           Dialogue
           ,
           BETWIXT
           Iames
           Paterson
           Mathematician
           at
           Edinburgh
           ,
           And
           Iohn
           Forbes
           Printer
           to
           Aberdeen
           ,
           &
           
             〈◊〉
             〈◊〉
             〈◊〉
             〈◊〉
             〈◊〉
          
           .
        
         
           
             (
             Paterson
             .
             )
          
           
             I
             charge
             the
             Printer
             with
             severall
             Errors
             in
             his
             Almanack
             ,
             set
             forth
             and
             printed
             by
             him
             for
             the
             Year
             1683.
             
             And
             first
             ,
             concerning
             the
             Eclipse
             which
             did
             fall
             out
             upon
             the
             17
             day
             of
             Ianuar
             in
             the
             afternoon
             ,
             wherein
             he
             is
             deficient
             in
             giving
             the
             
               Digits
               Eclipsed
            
             ;
             as
             also
             ,
             in
             reference
             to
             the
             tyme
             of
             the
             
               Eclipse
               duration
            
             .
          
        
         
           
             (
             Printer
             .
             )
          
           
             
               Courteous
               Reader
            
             ,
             I
             confess
             ,
             being
             about
             my
             serious
             Imployments
             in
             the
             Printing
             Press
             ,
             I
             could
             not
             have
             leasure
             to
             Calculate
             that
             Eclipse
             ,
             but
             made
             use
             of
             several
             Ephimerides
             ;
             as
             
               Vincent
               Wing
            
             ,
             and
             
               Samuel
               Morland
               ,
               &c.
            
             
             And
             Argolus
             doth
             assert
             the
             
               Digits
               Eclipsed
            
             to
             be
             10
             and
             more
             ,
             
               Iohn
               Gadbury
            
             9
             :
             
               Paterson
               8
               dig
               .
               13
               min.
            
             as
             for
             the
             time
             ,
             
               Iohn
               Gadbury
            
             sayeth
             ,
             the
             middle
             will
             be
             at
             3
             hou
             .
             afternoon
             ,
             the
             end
             at
             4
             
               hou
               .
               3
               min
            
             ,
             or
             after
             the
             going
             down
             of
             the
             Sun
             :
             for
             in
             the
             Latitude
             of
             57
             
               degrees
               10
               minuts
            
             ,
             being
             for
             Aberdeen
             ,
             the
             Sun
             seteth
             being
             in
             the
             8
             degree
             of
             Aquarius
             ,
             at
             3
             
               hou
               .
               57
               min.
            
             but
             Paterson
             sayeth
             10
             min.
             before
             4
             hou
             .
             at
             Aberdeen
             ,
             which
             is
             near
             half
             an
             hour
             ;
             (
             a
             Prodigie
             which
             was
             never
             seen
             ,
             the
             Sun
             to
             set
             at
             3
             
               hou
               .
               30
               min.
            
             at
             Aberdeen
             !
             )
             but
             by
             reason
             of
             the
             refraction
             ,
             the
             Sun
             may
             appear
             or
             show
             himself
             above
             the
             Horizon
             ,
             when
             he
             is
             not
             ,
             If
             so
             the
             parall●x
             be
             lesser
             then
             the
             refraction
             ;
             and
             so
             I
             may
             truely
             and
             warrantably
             say
             ,
             the
             Sun
             doth
             set
             at
             Aberdeen
             ,
             the
             17
             day
             of
             Januar
             ,
             at
             4
             
               hou
               .
               18
               min.
            
             afternoon
             .
             But
             granting
             I
             be
             
             redundant
             in
             some
             Minuts
             ,
             but
             not
             so
             grosly
             ,
             and
             as
             to
             say
             ,
             not
             so
             deficient
             as
             he
             is
             ,
             in
             saying
             the
             Sun
             being
             in
             the
             8
             degree
             of
             Aquarius
             ,
             seteth
             at
             3
             
               hou
               .
               30
               min.
            
             but
             in
             trueth
             ,
             at
             3
             
               hou
               .
               57
               min.
            
             But
             what
             doth
             this
             concern
             me
             ?
             My
             Antagonist
             cannot
             say
             ,
             there
             is
             any
             wrong
             done
             to
             the
             Vulgar
             ,
             or
             Horascopographier
             .
             But
             ,
             as
             for
             that
             Eclipse
             which
             by
             an
             Telescope
             of
             6
             foot
             long
             ,
             I
             did
             observe
             at
             the
             seting
             of
             the
             Sun
             ,
             and
             did
             not
             find
             above
             two
             digits
             of
             the
             Suns
             body
             obscured
             ,
             with
             no
             apparent
             darkness
             ,
             or
             shaddow
             of
             change
             by
             that
             Eclipse
             :
             it
             was
             (
             as
             we
             all
             say
             ,
             )
             to
             West-ward
             Inhabitants
             .
             But
             lastly
             ,
             I
             shall
             lay
             down
             some
             certain
             things
             to
             be
             observed
             in
             going
             about
             this
             Eclipse
             ,
             and
             some
             things
             I
             shall
             demand
             of
             this
             Mathematician
             ,
             in
             which
             I
             hope
             he
             will
             satisfie
             me
             ,
             except
             he
             be
             ,
             
               Mathematicus
               nomine
               tenus
            
             ,
             (
             as
             I
             suppose
             )
             for
             I
             shall
             be
             as
             Laconick
             as
             I
             can
             ,
             intending
             not
             to
             trouble
             the
             Reader
             with
             frivolous
             Expressions
             .
             First
             ,
             supposing
             the
             middle
             tyme
             of
             the
             Eclipse
             to
             be
             at
             3
             a
             clock
             in
             the
             afternoon
             ,
             according
             to
             
               Iohn
               Gadbury
               .
               First
            
             ,
             Granting
             the
             true
             places
             of
             the
             Luminaries
             ,
             with
             the
             Mo●ns-Latitude
             ,
             either
             by
             Calculation
             or
             
               Ephimerides
               .
               Secondly
            
             ,
             I
             find
             the
             right
             ascention
             of
             the
             Sun
             in
             8
             degrees
             of
             Aquarius
             to
             be
             310
             degrees
             ,
             added
             to
             45
             degrees
             or
             3
             hours
             ,
             giveth
             23
             
               hou
               .
               42
               min.
            
             which
             sheweth
             the
             25
             degree
             of
             Pisces
             to
             be
             on
             the
             Meridian
             or
             
               Medium
               Coeli
            
             ;
             and
             the
             
               Ascendent
               28
               deg
               .
               28
               min.
            
             of
             Cancer
             :
             and
             consequently
             ,
             the
             
               Nonagisimo
               degree
            
             falleth
             in
             28
             
               deg
               .
               28
               min.
            
             of
             Aries
             ,
             being
             
               East
               ward
            
             of
             the
             
               Meridian
               33
               deg
               .
               28
               min.
               Thirdly
               ,
            
             The
             Declination
             of
             the
             25
             deg
             .
             of
             Pisces
             ,
             added
             to
             57
             deg
             .
             10
             min.
             giveth
             59
             
               deg
               .
               9.
               min
            
             ,
             the
             
               Arch
               of
               the
               Meridian
            
             between
             the
             25
             degree
             of
             Pisces
             and
             the
             
               Zenith
               .
               Fourthly
            
             ,
             The
             Angle
             of
             the
             Ecliptick
             with
             the
             Meridian
             ,
             being
             66
             deg
             .
             33
             min.
             giveth
             the
             Arch
             between
             the
             Nonagesim
             and
             the
             Zenith
             ,
             by
             saying
             as
             
               R
               :
               Sine
               59
               deg
               .
               9
               min●●
               :
               Sine
               66
               deg
               .
            
             33
             
               min
               :
               Sine
            
             of
             51
             
               deg
               .
               48
               min.
               Fifthly
            
             ,
             Having
             the
             true
             
             Latitude
             of
             the
             Moon
             ,
             with
             the
             
               Parallax
               of
               Altitude
            
             ,
             and
             having
             found
             the
             
               Parallacticall
               Angle
            
             ,
             that
             is
             to
             say
             ,
             the
             Angle
             made
             by
             the
             Ecliptick
             ,
             and
             Vertical
             drawn
             through
             the
             Center
             of
             the
             Moon
             to
             be
             52
             
               deg
               .
               11
               min.
               Sixthly
            
             ,
             The
             Altitude
             of
             the
             Sun
             being
             at
             3
             hours
             in
             the
             afternoon
             ,
             in
             the
             Latitude
             of
             57
             
               deg
               .
               10
               min.
            
             is
             5
             
               deg
               ,
               41
               min.
            
             
             These
             being
             premised
             ,
             I
             desire
             to
             know
             of
             
               James
               Paterson
            
             ,
             the
             
               Parallax
               of
               Altitude
               ,
               Longitud
               ,
               right
               Ascention
               and
               Declination
               :
            
             whereby
             we
             may
             know
             the
             tyme
             of
             the
             visible
             Conjunction
             ,
             the
             beginning
             of
             the
             Ecl●pse
             ,
             the
             middle
             ,
             and
             end
             end
             ;
             with
             the
             
               Digits
               Eclipsed
            
             :
             whither
             above
             or
             under
             the
             Center
             of
             the
             Sun.
             There
             are
             here
             required
             the
             resolution
             of
             severall
             Triangles
             ,
             wherein
             ,
             
               ex
               tribus
               datis
               quartus
               requiritur
            
             ,
             either
             by
             Calculation
             ,
             or
             Projection
             .
          
        
         
           
             (
             Paterson
             .
             )
          
           
             Also
             he
             errs
             again
             in
             his
             Tyde-Table
             at
             Lieth
             ,
             as
             if
             the
             Moon
             were
             not
             able
             to
             rule
             the
             Tyde
             here
             as
             at
             Aberdeen
             .
          
        
         
           
             (
             Printer
             .
             )
          
           
             As
             for
             the
             flowings
             at
             Lieth
             ,
             which
             he
             carps
             at
             ,
             they
             are
             not
             set
             down
             by
             my self
             ,
             at
             upon
             my
             own
             account
             ,
             but
             in
             so
             far
             ,
             as
             they
             have
             been
             approved
             of
             ,
             by
             ancient
             
               Seamen
               ,
               Masters
            
             and
             Coasters
             ;
             asserting
             that
             at
             Lieth
             ,
             a
             S.
             W.
             by
             S.
             Moon
             maketh
             at
             nearest
             a
             full-Sea
             .
             This
             being
             a
             generall
             Observation
             ,
             therefore
             doth
             admit
             of
             some
             particulars
             ;
             as
             the
             Wind
             blowing
             at
             such
             and
             such
             an
             Art
             ,
             causeth
             the
             flowings
             to
             varie
             ,
             sometymes
             an
             half
             point
             ,
             and
             sometymes
             more
             ,
             in
             setting
             the
             flowings
             high
             ,
             and
             other
             times
             low
             :
             yea
             ,
             the
             Seasons
             of
             the
             year
             ,
             sometimes
             doth
             alter
             and
             change
             the
             streams
             ,
             as
             about
             Lambas
             ,
             the
             streams
             then
             are
             higher
             ,
             then
             at
             certain
             other
             tymes
             ,
             and
             consequently
             the
             generall
             Role
             doth
             not
             hold
             altogether
             certain
             at
             all
             times
             ;
             but
             doth
             sometime
             varie
             .
             It
             is
             holden
             as
             a
             generall
             Rule
             by
             most
             of
             Seamen
             ,
             that
             3
             quarters
             of
             an
             hour
             doth
             answere
             to
             a
             point
             of
             the
             Compass
             ,
             the
             reason
             fo
             this
             is
             ,
             (
             as
             they
             say
             ,
             )
             because
             a
             quarter
             of
             the
             
             Horizon
             ,
             answereth
             to
             a
             quarter
             of
             the
             Equinoctiall
             ,
             and
             consequently
             ,
             8
             Points
             to
             6
             hours
             :
             so
             that
             they
             would
             have
             the
             Equinoctiall
             equally
             divyded
             ,
             as
             they
             do
             the
             
               Points
               of
               the
               Compass
            
             .
             I
             confess
             ,
             into
             a
             
               Parallell
               Sphear
            
             ,
             it
             will
             hold
             true
             ,
             but
             not
             into
             an
             
               Oblique
               Sphere
            
             :
             As
             admit
             ,
             in
             the
             Latitude
             of
             56
             degrees
             ,
             S.
             W.
             by
             S.
             being
             3
             Points
             ,
             or
             33
             
               deg
               .
               45
               min.
            
             or
             2
             
               hou
               .
               15
               min.
            
             I
             find
             in
             the
             Equinoctiall
             29
             deg
             .
             to
             which
             in
             time
             answereth
             to
             1
             
               hou
               .
               56
               min.
            
             of
             difference
             ,
             being
             19
             min.
             in
             tyme.
             And
             this
             found
             out
             by
             a
             Sphericall
             right
             Angled
             Triangle
             ,
             by
             saying
             ,
             as
             
               R
               :
               S
               :
               Lat
               :
               :
               Tang.
               Arch
            
             of
             the
             
               Horizon
               :
               Tang.
            
             of
             the
             
               Equinoctiall
               Arch.
            
             The
             neglect
             of
             this
             is
             an
             Error
             ,
             although
             not
             admitted
             by
             many
             Seamen
             ;
             but
             constantly
             asserting
             that
             45
             min.
             in
             tyme
             doth
             answere
             to
             a
             point
             of
             the
             
               Compass
               .
               James
               Paterson
            
             ,
             in
             his
             
               Corrected
               Tyde-Table
            
             ,
             doth
             make
             Lieth
             to
             differ
             from
             other
             Tables
             ,
             sometimes
             a
             whole
             hour
             ,
             sometimes
             less
             ;
             and
             in
             some
             agreeing
             ,
             (
             to
             the
             great
             detriment
             and
             h●zard
             of
             Ships
             seeking
             
               Lieth
               Harbour
            
             .
             )
             not
             determinating
             the
             true
             place
             of
             the
             Moon
             ,
             which
             maketh
             a
             full
             Sea
             at
             Lieth
             ;
             for
             if
             he
             shall
             have
             his
             recourse
             to
             the
             Theorie
             of
             the
             Moon
             ,
             except
             only
             the
             middle
             Motion
             ,
             he
             shall
             involve
             himself
             into
             such
             a
             Laborinth
             ,
             out
             of
             which
             he
             shall
             never
             be
             able
             to
             extricate
             himself
             .
             Therefore
             by
             all
             that
             I
             have
             said
             ,
             I
             see
             no
             ground
             for
             his
             
               Corrected
               Tyde-Table
            
             :
             And
             no
             marvell
             ,
             he
             not
             being
             bred
             a
             Seaman
             ,
             nei●her
             educate
             in
             Letters
             or
             Learning
             ,
             as
             I
             am
             informed
             ,
             and
             ●et
             calls
             himself
             ,
             Mathematicus
             ;
             O
             horrid
             Impudence
             !
             ●ut
             being
             a
             while
             in
             Ireland
             ,
             and
             having
             gotten
             some
             smat●erings
             in
             the
             Mathematicks
             ,
             cometh
             to
             Edinburgh
             ,
             and
             ●ayeth
             himself
             forth
             for
             Mathematicus
             :
             if
             it
             be
             otherwise
             then
             is
             related
             ,
             certainly
             he
             will
             shew
             himself
             in
             giving
             a
             solution
             to
             these
             five
             following
             Problems
             ,
             not
             ●y
             Assertion
             ,
             but
             by
             
               Mathematicall
               Demonstration
            
             ,
             I
             call
             them
             
               ●irocinia
               Nautica
            
             .
          
           
           
             PROBLEM
             I.
             
          
           
             There
             are
             two
             Islands
             in
             the
             parallell
             of
             40
             degrees
             ,
             distant
             from
             each
             other
             70
             Leagues
             ,
             a
             Ship
             sailing
             from
             the
             
               Westermost
               Island
            
             ,
             between
             the
             N
             ,
             and
             E.
             doth
             meet
             with
             a
             Ship
             that
             had
             sailed
             from
             the
             Eastermost
             ,
             between
             the
             N.
             and
             W.
             and
             they
             are
             both
             in
             the
             Latitude
             of
             41
             degrees
             30
             minuts
             ,
             and
             these
             two
             Ships
             have
             sailed
             100
             Leagues
             ,
             I
             demand
             by
             what
             Courses
             these
             two
             Ships
             have
             sailed
             ?
             and
             how
             many
             Leagues
             in
             every
             particular
             Course
             ?
          
           
             PROBLEM
             II.
             
          
           
             There
             are
             3
             Islands
             ,
             A
             ,
             B
             ,
             C
             ,
             the
             Island
             A
             ,
             and
             B
             ,
             in
             the
             parallell
             of
             40
             degrees
             ,
             and
             are
             distant
             from
             each
             other
             30
             Leagues
             ,
             the
             third
             Island
             C
             ,
             distant
             from
             A
             ,
             45
             Leagues
             ,
             and
             bearing
             of
             A
             ,
             North-West
             :
             a
             Ship
             steering
             her
             Course
             East-South-East
             from
             C
             ,
             so
             long
             ,
             till
             she
             cometh
             to
             the
             parallell
             of
             40
             degrees
             .
             I
             demand
             how
             far
             she
             hath
             sailed
             from
             the
             Island
             C
             ,
             before
             she
             bring
             the
             two
             Islands
             A
             ,
             and
             B
             ,
             
               sub
               maximo
               Angulo
            
             ,
             or
             greatest
             Angle
             ?
          
           
             PROBLEM
             III.
             
          
           
             A
             Ship
             in
             the
             Latitude
             of
             40
             degrees
             ,
             is
             bound
             West-ward
             ,
             and
             being
             at
             A
             ,
             she
             setteth
             an
             Island
             B
             ,
             bearing
             of
             her
             South
             ,
             and
             keeping
             her
             Course
             West
             ,
             being
             at
             C
             ,
             she
             setteth
             the
             same
             Island
             bearing
             of
             her
             South
             by
             
               East
               ,
               5
               degrees
               Easterly
            
             .
             Again
             ,
             being
             at
             D
             ,
             
               South-South
               East
               4
               degrees
               Easterly
            
             .
             Lastly
             ,
             being
             at
             E
             ,
             she
             setteth
             the
             same
             to
             bear
             of
             her
             South-East
             by
             
               East
               6
               deg
               ,
               15
               min.
               
               Easterly
               :
            
             and
             hath
             sailed
             between
             D
             ,
             and
             E
             ,
             2
             ,
             9
             Leaug
             ,
             more
             then
             between
             C
             ,
             and
             D.
             I
             demand
             how
             far
             B
             was
             distant
             from
             A
             ,
             when
             bearing
             Southerly
             .
          
           
             PROBLEM
             IV.
             
          
           
             A
             Ship
             in
             the
             Latitude
             of
             40
             degrees
             ,
             saileth
             so
             long
             between
             the
             North
             and
             East
             ,
             till
             she
             altereth
             her
             Longitude
             10
             degrees
             ,
             and
             hath
             departed
             from
             her
             first
             Meridian
             ,
             96
             
               Leagus
               ,
               2
               Myles
            
             :
             I
             demand
             how
             far
             she
             hath
             sailed
             ?
             and
             by
             what
             Course
             ?
          
           
           
             PROBLEM
             V.
             
          
           
             
               Mr.
               Norwood
            
             ,
             in
             his
             application
             of
             
               Sphericall
               Trigonometrie
            
             ,
             to
             the
             third
             kynd
             of
             sailing
             ,
             by
             the
             Arch
             of
             a
             great
             Circle
             ,
             which
             is
             demonstrated
             by
             him
             ,
             and
             others
             ,
             to
             be
             the
             best
             way
             of
             sailing
             .
             (
             
               Consideratis
               Considerandis
            
             )
             Therefore
             ,
             supposing
             two
             Places
             or
             Islands
             ,
             lying
             in
             the
             parallell
             of
             60
             degrees
             ,
             distant
             from
             each
             other
             20
             degrees
             in
             Longitude
             ;
             and
             there
             are
             two
             Ships
             ,
             the
             one
             sailing
             in
             the
             parallel
             ,
             the
             other
             upon
             the
             Arch
             of
             a
             great
             Circle
             :
             I
             demand
             whither
             or
             no
             ,
             he
             that
             saileth
             upon
             the
             Arch
             of
             a
             great
             Circle
             ,
             doth
             make
             a
             major
             ,
             or
             ,
             
               minor
               ratio
            
             ,
             to
             the
             great
             Circle
             ,
             then
             he
             that
             sailoth
             upon
             the
             Arch
             of
             the
             Parallell
             ,
             doth
             to
             the
             Parallell
             in
             which
             he
             saileth
             ?
          
           
             In
             all
             these
             five
             Problems
             ,
             I
             have
             given
             Letters
             Alphabeticall
             ,
             by
             which
             any
             Mathematician
             may
             forme
             Triangles
             at
             pleasure
             ,
             
               secundum
               data
               &
               requisita
            
             :
             And
             this
             much
             as
             to
             this
             purpose
             in
             the
             
               Art
               Nauticall
            
             ;
             and
             so
             I
             proceed
             to
             another
             head
             .
          
        
         
           
             (
             Paterson
             .
             )
          
           
             I
             have
             in
             the
             said
             Almanack
             for
             the
             Year
             1683
             ,
             described
             an
             Instrument
             ,
             called
             the
             
               Lyne
               of
               Chorde
            
             ,
             with
             a
             Scale
             of
             inch
             ,
             and
             half
             inch
             ,
             divyded
             in
             8
             equall
             parts
             ,
             the
             former
             ,
             serving
             for
             measuring
             of
             all
             right
             lyned
             Angles
             ,
             the
             latter
             ,
             for
             measuring
             the
             length
             ,
             breadth
             ,
             and
             thickness
             on
             Paper
             ;
             and
             may
             serve
             for
             
               Foot
               's
               ,
               Ells
               ,
               Falls
               ,
               R●ods
               ,
               Myles
               ,
            
             or
             Leagues
             :
             all
             which
             the
             Printer
             hath
             not
             in
             his
             Prognostication
             .
          
        
         
           
             (
             Printer
             .
             )
          
           
             I
             confess
             I
             have
             not
             the
             
               Lyne
               of
               Chords
            
             ,
             or
             equall
             par●s
             mentioned
             in
             my
             Almanack
             ,
             wha●thee
             ,
             cannot
             a
             right
             lyned
             Angle
             ,
             be
             measured
             by
             a
             line
             of
             Sines
             ,
             or
             Tangents
             ,
             as
             well
             as
             by
             a
             
               lyne
               of
               Chords
            
             ?
             especially
             by
             a
             line
             of
             Sines
             ,
             seeing
             Sines
             are
             halfs
             of
             
               Choras
               ▪
            
             so
             that
             what
             i●
             performed
             by
             the
             whole
             ,
             may
             be
             performed
             by
             the
             half
             :
             
               &
               contra
            
             .
             As
             for
             your
             
               lyne
               of
               Chords
            
             ,
             with
             your
             use
             ye
             make
             of
             them
             ;
             if
             there
             be
             no
             more
             ,
             *
             Cabin-boy
             can
             say
             al●
             much
             
             as
             you
             can
             say
             ,
             without
             any
             detriment
             to
             the
             Mathematicall-Science
             .
             What
             do
             ye
             say
             ,
             as
             not
             being
             acquaint
             (
             as
             I
             suppose
             )
             with
             the
             
               Orthographicall
               Projection
            
             ,
             wherein
             the
             Object
             ,
             either
             Sphere
             or
             Glob
             is
             supposed
             to
             be
             projected
             
               in
               plano
            
             ,
             at
             an
             infinite
             or
             indeterminate
             distance
             from
             the
             eye
             ;
             from
             whence
             cometh
             or
             ariseth
             Ptolimie
             his
             Analemma
             ,
             wherein
             the
             
               Solisticiall
               Colure
            
             being
             seen
             directly
             ,
             is
             circularly
             projected
             .
             The
             other
             five
             ,
             
               to
               wit
               ,
               the
               Horizon
               ,
               Equinoctial
               ,
            
             and
             Ecliptick
             ;
             with
             the
             hour
             of
             Sex
             ,
             and
             
               Prime
               Azimuth
            
             o●
             East
             and
             West
             ,
             being
             seen
             perpendicularly
             ,
             are
             projected
             in
             straight
             Lines
             :
             the
             Eye
             being
             in
             the
             intersection
             of
             all
             those
             Circles
             
               in
               principio
               Arietis
            
             .
             The
             other
             Circles
             that
             are
             seen
             Obliquly
             ,
             are
             projected
             Eliptically
             ,
             the
             parallels
             to
             these
             five
             mentioned
             are
             projected
             in
             straight
             lyns
             ,
             according
             to
             the
             nature
             of
             their
             Primativs
             .
             These
             being
             premised
             the
             Primatives
             are
             divyded
             accordingly
             ,
             by
             Sines
             ,
             and
             so
             are
             contracted
             ;
             the
             nearer
             they
             aproach
             the
             
               Solisticial
               Colure
            
             .
             From
             hence
             I
             say
             ,
             that
             all
             the
             Problems
             performed
             by
             Ptolemie
             his
             Analemma
             ,
             may
             be
             performed
             by
             a
             
               Lyne
               of
               Chords
            
             :
             yea
             ,
             all
             the
             Problems
             performed
             by
             the
             Sines
             in
             the
             
               Scamans
               Callender
            
             ,
             may
             be
             performed
             by
             the
             
               Lyne
               of
               Chords
            
             .
             Lastly
             ,
             I
             say
             ,
             that
             a
             
               Lyne
               of
               Chords
            
             of
             four
             inches
             Radius
             ,
             will
             performe
             a
             Problem
             ,
             either
             Astronomicall
             or
             Geographicall
             ,
             better
             then
             a
             Globe
             of
             two
             foot
             Radius
             .
             And
             in
             so
             far
             ,
             I
             have
             exalted
             your
             
               Line
               of
               Chords
            
             ,
             in
             that
             wherein
             ye
             was
             deficient
             .
          
           
             As
             for
             measuring
             right
             
               Lyned
               Angles
            
             by
             a
             
               Lyne
               of
               Tangents
            
             ,
             I
             hold
             it
             a
             more
             ready
             way
             ,
             then
             by
             a
             
               Lyne
               of
               Chords
            
             ;
             for
             in
             the
             one
             a
             Compass
             is
             requyred
             ,
             for
             drawing
             an
             Arch
             from
             the
             
               Angular
               Point
            
             ,
             but
             in
             the
             other
             ,
             no
             Compass
             or
             Arch
             is
             requyred
             ;
             save
             onely
             the
             Radius
             ,
             and
             therefore
             ,
             a
             
               Tangent
               Lyne
            
             is
             more
             usefull
             then
             a
             
               Lyne
               of
               Chords
            
             .
             This
             
               Tangent
               Lyne
            
             is
             wonderfull
             usefull
             in
             the
             
               Steriographicall
               Projection
            
             ,
             which
             supposeth
             the
             Object
             ,
             be
             it
             Sphere
             or
             Glob
             ,
             contiguous
             
             with
             the
             Organ
             or
             Eye
             .
             But
             it
             may
             be
             said
             ,
             that
             
               visibile
               positum
               supra
               visorum
               non
               facit
               visionem
               .
            
             I
             answere
             ,
             it
             is
             true
             in
             
               opacuous
               ,
               thick
            
             ,
             and
             
               dark
               Bodies
            
             ,
             but
             not
             in
             Diaphanus
             and
             
               Transparent
               Objects
            
             .
             This
             Projection
             is
             of
             greater
             use
             and
             concernment
             then
             the
             Orthographicall
             ,
             because
             in
             the
             Orthographicall
             ,
             the
             divisions
             of
             the
             Radius
             from
             the
             Center
             ,
             doth
             shorten
             and
             become
             lesser
             and
             lesser
             towards
             the
             Peripherie
             ,
             according
             to
             the
             nature
             of
             Sines
             :
             but
             in
             the
             Steriographicall
             ,
             they
             increase
             from
             the
             Center
             towards
             the
             Peripherie
             ,
             according
             to
             the
             nature
             of
             Tangents
             ;
             so
             that
             the
             increment
             of
             the
             one
             ,
             doth
             supply
             the
             decrement
             of
             the
             other
             :
             in
             this
             projection
             Circles
             directly
             or
             obliquely
             seen
             ,
             are
             projected
             in
             Circles
             ,
             but
             perpendicularly
             in
             
               straight
               Lines
            
             .
             I
             could
             inlarge
             and
             delate
             my self
             in
             this
             purpose
             ,
             but
             fearing
             my
             enlargement
             should
             seem
             tedious
             to
             the
             Reader
             ,
             I
             shall
             at
             present
             produce
             some
             Instruments
             ,
             framed
             by
             this
             Projection
             ,
             and
             where
             the
             Organ
             is
             placed
             .
             And
             
               first
               ,
               Iohn
               Stoph●erus
            
             his
             Astrolob
             ,
             where
             the
             Organ
             is
             placed
             at
             the
             Intersection
             of
             Aries
             and
             Libra
             ;
             so
             that
             the
             aforenamed
             five
             great
             Circles
             ,
             are
             projected
             in
             straight
             Lines
             ,
             and
             the
             rest
             
               Circularly
               .
               Iohn
               Blackgrave
            
             ,
             his
             
               Mathematical
               Jewel
            
             ,
             yea
             ,
             the
             
               Vniversal
               Mapps
            
             divyded
             into
             two
             Hemispheres
             ,
             where
             Meridians
             and
             Parallels
             ,
             are
             circularly
             projected
             ;
             the
             Equator
             in
             a
             
               straight
               Line
            
             ,
             but
             the
             Ecliptick
             in
             a
             
               Curve
               Line
            
             :
             I
             admire
             to
             see
             the
             same
             ,
             as
             having
             no
             ground
             for
             that
             projection
             ;
             I
             pray
             you
             Mathematicus
             ,
             let
             me
             know
             if
             there
             be
             any
             ground
             for
             the
             same
             ?
             
               nam
               cupio
               docere
               vel
               doceri
            
             .
             I
             desire
             to
             know
             of
             you
             ,
             if
             a
             
               Sphericall
               Triangle
            
             ,
             such
             as
             formerly
             I
             have
             described
             ,
             i●
             in
             the
             
               Solistitial
               Colure
            
             the
             same
             ,
             or
             any
             other
             
               Oblique
               Angled
               Sphericall
               Triangle
            
             be
             decircinated
             ,
             peradventure
             without
             any
             terme
             given
             ?
             if
             the
             quantity
             or
             measure
             of
             the
             sides
             and
             Angles
             may
             be
             had
             ?
             I
             doubt
             not
             ,
             but
             as
             Mathematicus
             ye
             can
             performe
             the
             same
             ;
             if
             otherwise
             ,
             send
             to
             Aberdeen
             ,
             and
             you
             shall
             have
             the
             solution
             
             from
             me
             .
             And
             this
             much
             for
             the
             
               Steriographical
               Projectiion
            
             ,
             the
             Organ
             placed
             at
             the
             intersection
             of
             Aries
             and
             Libra
             .
             The
             second
             position
             ,
             is
             at
             the
             Poles
             of
             the
             Equinox
             ,
             and
             from
             thence
             ariseth
             Stofler
             his
             Astrolob
             ;
             from
             whence
             
               Mr.
               Gunters
               Quadrant
            
             is
             taken
             :
             this
             Astrolob
             hath
             the
             Equinoctiall
             directly
             seen
             ,
             with
             all
             the
             Parallels
             ,
             the
             
               Meridians
               Perpendicularly
            
             ,
             and
             are
             projected
             in
             straight-Lines
             ;
             the
             rest
             of
             the
             
               Circles
               Obliquly
            
             ,
             and
             projected
             in
             Circles
             .
             The
             last
             is
             ,
             when
             the
             Organ
             or
             Eye
             ,
             is
             placed
             in
             the
             Zenith
             according
             to
             Clayius
             his
             Astrolob
             ,
             or
             according
             to
             
               Mr.
               Gunters
               Fundamentall
               Diagram
            
             for
             plain
             dyaling
             ;
             in
             which
             he
             doth
             project
             10
             great
             Circles
             ,
             each
             of
             them
             having
             two
             
               Surfaces
               ▪
            
             except
             only
             the
             Horizon
             ;
             so
             there
             doth
             arise
             19
             Faces
             ,
             upon
             which
             plain
             Dyalls
             may
             be
             described
             ,
             the
             Horizon
             ,
             with
             all
             the
             Almicanters
             ,
             are
             projected
             circularly
             from
             the
             primative
             ,
             the
             Az●muthes
             in
             streight
             Lines
             ,
             the
             rest
             Circularly
             ;
             all
             which
             is
             performed
             Practically
             by
             
               Mr
               Gunter
            
             his
             last
             Edition
             :
             look
             
               Gunter
               Lib
               :
               2.
               
               Cap
               :
               3.
               
               Sect.
            
             1.
             2.
             3.
             
             But
             if
             ye
             desire
             a
             compleat
             Demonstration
             of
             
               Mr.
               Gunter
            
             his
             Practise
             ,
             consult
             Aguilonius
             in
             the
             6
             book
             of
             his
             Opticks
             .
             I
             doubt
             not
             but
             what
             is
             said
             ,
             will
             put
             you
             to
             a
             studere
             ,
             but
             stud●isse
             had
             been
             more
             proper
             for
             a
             Mathematician
             .
             There
             is
             another
             projection
             called
             Scenographical
             ,
             keeping
             a
             middle
             between
             the
             former
             two
             ,
             
               in
               debita
               distantia
            
             :
             but
             because
             it
             consists
             in
             shortning
             and
             lengthning
             of
             Objects
             ,
             as
             they
             are
             diversly
             seen
             ,
             being
             more
             proppe●
             for
             Painters
             and
             Limners
             then
             for
             Seamen
             ,
             to
             speak
             further
             I
             desist
             .
             Onely
             observe
             ,
             that
             all
             
               Sphericall
               Trigonometrie
            
             by
             calculation
             doth
             depend
             upon
             the
             projections
             :
             consult
             
               Theodosius
               de
               Sphericis
            
             .
          
           
             As
             for
             your
             inch
             ,
             and
             half
             inch
             ,
             the
             one
             divyded
             into
             16
             equall
             parts
             ,
             the
             other
             into
             eight
             ;
             it
             had
             been
             better
             ,
             and
             more
             like
             an
             Artist
             ,
             to
             have
             divyded
             each
             of
             them
             ▪
             Diagonally
             in
             100
             parts
             ,
             both
             for
             Navigation
             and
             Surveying
             :
             
             for
             Navigation
             by
             dividing
             the
             
               Meridian
               Line
            
             according
             to
             Mercator
             his
             projection
             ,
             according
             to
             degrees
             of
             increasing
             Latitude
             :
             and
             in
             Surveying
             ,
             as
             afterward
             in
             the
             next
             shall
             be
             made
             manifest
             .
          
        
         
           
             (
             Paterson
             .
             )
          
           
             I
             have
             severall
             Measures
             ,
             for
             
               length
               ,
               bread●●
            
             and
             thickness
             ,
             beginning
             from
             
               Barley
               Corn
            
             in
             reference
             to
             an
             inch
             ,
             from
             thence
             to
             12
             inches
             making
             a
             foot
             ,
             and
             5
             foot
             to
             a
             pace
             ,
             and
             1000
             paces
             to
             a
             myle
             ,
             and
             so
             foreward
             ;
             as
             you
             may
             see
             into
             my
             Almanack
             ,
             all
             which
             ye
             have
             not
             at
             all
             expressea
             into
             your
             Almanack
             .
          
        
         
           
             (
             Printer
             .
             )
          
           
             I
             do
             confess
             ,
             I
             have
             not
             expressed
             any
             Measures
             into
             my
             Almanack
             ,
             neither
             is
             it
             requyred
             I
             should
             do
             so
             ,
             being
             different
             because
             of
             their
             Objects
             :
             for
             the
             Almanak
             is
             in
             reference
             to
             Celestiall
             things
             ,
             and
             the
             other
             to
             Terrestriall
             .
             But
             let
             us
             proceed
             to
             the
             purpose
             ,
             wherein
             he
             ●ayeth
             5
             foot
             make●h
             a
             pace
             ,
             and
             therefore
             I
             desire
             to
             know
             of
             him
             ,
             if
             paces
             in
             all
             Nations
             and
             Countries
             be
             equal
             ,
             or
             unequal
             ;
             equal
             (
             I
             say
             )
             they
             cannot
             be
             ,
             because
             the
             foots
             〈◊〉
             diverse
             Nations
             are
             unequall
             ;
             for
             the
             longer
             the
             foot
             be
             ,
             ●r
             shorter
             ;
             the
             fewer
             or
             more
             ●oots
             goeth
             to
             a
             pace
             :
             and
             herefore
             the
             paces
             are
             ●nequal
             ,
             and
             if
             paces
             ,
             then
             myles
             ;
             ●nd
             if
             myles
             ,
             then
             no
             certain●ie
             can
             be
             had
             for
             the
             mea●re
             of
             a
             degree
             upon
             the
             Arch
             of
             a
             great
             Circle
             ;
             which
             is
             ●bsurd
             ,
             and
             not
             consistent
             with
             reason
             .
             But
             now
             ,
             let
             us
             ●ome
             to
             find
             the
             method
             and
             way
             ,
             how
             the
             Ancient
             and
             Modern
             Geographers
             ,
             did
             find
             out
             certain
             measures
             upon
             ●arth
             ,
             in
             reference
             to
             the
             Heavens
             .
             I
             will
             begin
             first
             ,
             ●ith
             the
             
               Egyptian
               Geographers
            
             ,
             as
             Eratosthenes
             ,
             who
             lived
             ●6
             Years
             before
             CHRIST
             ;
             and
             Ptolomie
             who
             lived
             ●o
             Year
             after
             CHRIST
             :
             They
             having
             chosen
             two
             places
             ●ing
             under
             or
             near
             the
             same
             Meridian
             ,
             differing
             onely
             observation
             ,
             at
             2
             or
             3
             degrees
             in
             Latitude
             ,
             which
             after●ards
             by
             a
             customary
             and
             standerd
             Measure
             of
             that
             King●●me
             of
             Egypt
             ,
             they
             did
             find
             five
             foot
             to
             go
             to
             a
             pace
             ,
             
             and
             1000
             paces
             to
             a
             myle
             .
             But
             the
             Learned
             
               Mr.
               Norwood
            
             did
             of
             late
             into
             his
             Book
             ,
             called
             the
             
               Seamans
               Practice
            
             ,
             following
             the
             Ancient
             Geographers
             ,
             in
             their
             practice
             ,
             in
             measuring
             ▪
             between
             York
             and
             London
             ,
             find
             a
             degree
             upon
             the
             Meridian
             ,
             to
             contain
             367200
             
               foot
               English
            
             ;
             and
             a
             myle
             6120
             ,
             so
             that
             an
             
               Aegyptian
               pace
            
             containeth
             6
             ,
             15
             English
             ,
             and
             an
             
               Aegyptian
               foot
               14
               ,
               75
               English
               inches
            
             at
             nearest
             .
             But
             passi●g
             the
             fraction
             we
             take
             
               in
               numero
               ro●undo
            
             ,
             6
             foot
             to
             the
             
               English
               pace
            
             ,
             and
             consequently
             ,
             6000
             foot
             to
             a
             myle
             in
             English
             measure
             .
             Now
             let
             us
             c●mpare
             Scots
             with
             English
             ,
             and
             first
             ,
             ye
             say
             that
             37
             
               English
               inches
            
             according
             to
             your
             standerd
             at
             Edinburgh
             giveth
             an
             Ell
             ;
             Then
             a
             Fall
             ,
             o●
             Pole
             being
             6
             Ell
             ,
             giveth
             2●2
             Inches
             ,
             222
             by
             4
             ,
             the
             length
             of
             a
             Chain
             ,
             the
             product
             is
             888
             :
             which
             being
             multiplyed
             by
             80
             ,
             giveth
             71040
             :
             and
             divyded
             by
             12
             ,
             the
             quotient
             is
             5920
             Foot
             's
             short
             of
             6000
             ,
             by
             80
             Foot.
             Again
             ,
             42
             
               Scots
               Inches
            
             in
             an
             Ell
             ,
             as
             of
             the
             old
             standerd
             ,
             that
             is
             ,
             3
             Foot
             and
             a
             half
             ;
             the
             Pole
             or
             Fall
             being
             21
             Foot
             ,
             the
             
               Chain
               84
               Foot
            
             ,
             multiplied
             by
             80
             ,
             giveth
             6720
             Foot
             ,
             for
             the
             length
             of
             a
             
               Scots
               Myle
            
             ;
             which
             being
             reduced
             to
             an
             
               English
               Myle
            
             ,
             say
             as
             10
             :
             9
             :
             :
             6720
             :
             6048
             English
             ,
             so
             that
             here
             the
             difference
             is
             onely
             48
             Foot
             ,
             whereby
             the
             
               Scots
               Myle
            
             exceeds
             the
             English
             :
             and
             no
             wonder
             ,
             because
             6000
             doth
             admit
             a
             Fraction
             ,
             which
             will
             be
             near
             equivalent
             to
             48
             Foot
             :
             and
             therefore
             ,
             
               Mr
               Norwood's
               Practise
            
             doth
             altogether
             agree
             with
             a
             
               Scots
               Myle
            
             .
             But
             it
             may
             be
             said
             ,
             or
             inquyred
             of
             me
             ,
             the
             reason
             why
             I
             say
             ,
             as
             10
             :
             9
             :
             :
             6720
             :
             6048.
             
             I
             answere
             ,
             because
             if
             an
             
               English
               Inch
            
             be
             divyded
             in
             10
             parts
             ,
             9
             of
             these
             doth
             answere
             to
             a
             
               Scots
               Inch
            
             :
             Therefore
             ,
             being
             to
             reduce
             English
             to
             Scots
             measure
             ,
             say
             as
             9
             :
             10
             ;
             but
             Scots
             to
             English
             ,
             say
             as
             10
             :
             9.
             
             These
             being
             premised
             ,
             I
             would
             advyse
             Surveyers
             here
             ,
             as
             in
             England●
             to
             divide
             their
             4
             
               Pole
               Chain
            
             into
             a
             100
             parts
             ,
             which
             we
             call
             Links
             ;
             and
             there
             will
             answere
             10
             Inch
             to
             a
             Link
             ,
             this
             Chain
             
             so
             divyded
             ,
             is
             very
             profitable
             for
             Surveying
             of
             Grounds
             ,
             or
             Plating
             ;
             and
             giving
             the
             Area
             ,
             as
             ye
             say
             ,
             4
             Pole
             in
             Latitude
             ,
             and
             10
             in
             Longitude
             ,
             giveth
             160
             
               square
               Poles
            
             for
             the
             Area
             :
             so
             also
             1
             Chain
             or
             100
             Links
             in
             breadth
             ,
             multiplied
             by
             10
             Chains
             or
             1000
             Links
             in
             length
             ,
             giveth
             for
             the
             
               Area
               10
               square
               Chains
            
             ,
             or
             100000
             
               square
               Links
               ;
               75000
               Links
            
             ,
             3
             Rood
             ,
             50000
             Links
             ,
             2
             Rood
             ;
             25000
             Links
             ,
             1
             Rood
             :
             or
             40
             Pole
             ,
             625
             
               Links
               square
            
             for
             a
             Pole.
             This
             I
             have
             premised
             for
             the
             benefit
             of
             Surveyers
             ,
             they
             making
             use
             of
             the
             Diagonall-Scale
             ,
             of
             Inch
             ,
             and
             
               half
               Inch
            
             ,
             or
             of
             any
             other
             Measure
             ,
             Diagonally
             divided
             .
          
        
         
           
             (
             Paterson
             .
             )
          
           
             Also
             in
             my
             Advertisement
             ,
             being
             the
             last
             in
             my
             Almanack
             ,
             such
             as
             desire
             Mathematicall-Arts
             or
             Instruments
             thereto
             belonging
             ,
             especially
             a
             Spirall-Lyne
             ,
             which
             I
             have
             so
             framed
             ,
             that
             you
             may
             work
             more
             Arithmetick
             in
             one
             houre
             ,
             then
             any
             other
             in
             two
             dayes
             with
             the
             pen.
             
          
        
         
           
             (
             Printer
             .
             )
          
           
             Ye
             s●y
             ye
             have
             framed
             a
             Spiral-Line
             ,
             so
             as
             the
             same
             had
             never
             been
             framed
             before
             ;
             I
             had
             a
             true
             relation
             ,
             from
             one
             that
             was
             a
             teacher
             of
             Mathematicks
             at
             London
             40
             years
             agoe
             ,
             who
             told
             me
             ,
             that
             one
             
               Mr.
               Brown
            
             a
             Carpenter
             ,
             who
             lived
             at
             London
             ,
             in
             the
             Minaries
             ,
             near
             Tower-hill
             ,
             was
             the
             first
             that
             did
             frame
             3
             Spiral-Lines
             upon
             a
             
               Circular
               Instrument
            
             ,
             for
             
               Artificial-Numbers
               ,
               Sines
            
             and
             Ta●gents
             ;
             having
             two
             
               Brass
               Indices
            
             or
             Legs
             ,
             fixed
             upon
             the
             Center
             ,
             and
             opening
             in
             manner
             of
             a
             Sector
             ,
             so
             that
             ,
             when
             3
             Terms
             were
             given
             to
             find
             a
             fourth
             ,
             the
             one
             Leg
             was
             placed
             to
             the
             first
             Terme
             ,
             and
             the
             other
             to
             the
             second
             ;
             then
             turning
             the
             Legs
             upon
             the
             Center
             ,
             (
             not
             being
             altered
             or
             changed
             )
             the
             first
             to
             the
             third
             Terme
             ,
             the
             second
             shall
             give
             the
             fourth
             requyred
             :
             whither
             the
             work
             be
             in
             
               Trigonometrie
               ,
               Plain
            
             ,
             or
             Spherical
             ;
             or
             in
             Arithmetick
             simply
             .
             This
             Instrument
             can
             be
             had
             at
             London
             ,
             being
             more
             serviceable
             then
             his
             ,
             which
             is
             only
             for
             Arithmetick
             He
             sayeth
             ,
             ●hat
             by
             this
             Instrument
             ,
             they
             may
             work
             more
             Arithmetick
             
             in
             one
             houre
             ,
             then
             any
             other
             in
             two
             days
             with
             the
             Pen
             ▪
             But
             I
             say
             ,
             (
             in
             Arithmetical-Problems
             ,
             )
             with
             the
             Pen
             shall
             work
             more
             in
             one
             hour
             ,
             then
             he
             and
             his
             
               Spiral
               Line
            
             shall
             do
             n
             10
             dayes
             .
             
               
                 —
                 MART.
                 
              
               Carpere
               vel
               noli
               nostra
               ,
               vel
               ede
               tua
               .
            
          
        
      
       
         
           A
           POSTSCRIPT
           By
           way
           of
           Epistle
           to
           the
           Candid-Reader
           .
        
         
           
             Courteous
             Reader
             ,
          
        
         
           IT
           was
           an
           excellent
           Saying
           of
           CICERO
           ,
           
             All
             the
             Praise
             of
             inward
             Vertue
             ,
             consisteth
             in
             the
             Good
             of
             outward
             Actions
             .
          
           Therefore
           ,
           not
           only
           is
           it
           my
           Genious
           ,
           but
           earnest
           desire
           to
           serve
           my
           Countrey
           ,
           into
           every
           thing
           most
           usefull
           and
           necessary
           for
           the
           Good
           thereof
           :
           especially
           ,
           into
           that
           Noble
           and
           Famous
           Art
           of
           Navigation
           ,
           without
           which
           ,
           all
           Trade
           and
           Commerce
           in
           every
           Kingdom
           ,
           should
           quite
           languish
           and
           decay
           .
           I
           have
           therefore
           ,
           in
           this
           small
           Treatise
           ,
           explained
           the
           three
           severall
           
             Motions
             of
             the
             Moon
          
           ,
           (
           viz.
           )
           her
           slow
           Motion
           ,
           her
           middle
           Motion
           ,
           and
           her
           swift
           Motion
           ;
           together
           with
           Tables
           for
           her
           true
           rising
           and
           setting
           :
           also
           ,
           shewing
           her
           Motion
           ,
           in
           
             Signs
             ,
             Degrees
          
           and
           Minuts
           ,
           for
           every
           day
           of
           her
           Age
           :
           with
           
             Everlasting
             Tyde-Tables
          
           
           for
           the
           Ebbs
           and
           Flowings
           of
           the
           Sea
           ,
           according
           to
           the
           Points
           of
           the
           Compass
           ,
           and
           the
           Moons
           daily
           Age
           ;
           (
           with
           the
           Hours
           and
           Minuts
           )
           not
           only
           for
           the
           
             Coast
             of
             Scotland
          
           ,
           which
           was
           never
           yet
           so
           fully
           mentioned
           by
           any
           ;
           but
           also
           ,
           for
           all
           other
           places
           in
           the
           World.
           And
           having
           revised
           and
           compared
           the
           best
           Authors
           ,
           who
           mention
           these
           Flowings
           ,
           and
           finding
           the
           most
           part
           of
           them
           differing
           from
           each
           other
           in
           the
           same
           ;
           have
           therefore
           by
           advyce
           of
           judicious
           Sea-men
           ,
           made
           use
           of
           the
           best
           ,
           and
           surest
           of
           them
           :
           Nevertheless
           ,
           I
           humbly
           intreat
           any
           of
           our
           Experienced
           ,
           Industrious
           ,
           and
           most
           Laborious
           Sea-men
           ,
           who
           have
           Navigated
           these
           places
           ,
           that
           they
           will
           be
           pleased
           to
           help
           any
           small
           oversights
           ,
           (
           if
           there
           be
           any
           ,
           )
           and
           send
           me
           information
           thereof
           by
           a
           Line
           ,
           and
           accordingly
           I
           shall
           be
           most
           carefull
           to
           amend
           the
           same
           in
           the
           next
           Impression
           :
           being
           most
           willing
           to
           extend
           my self
           for
           the
           Advancement
           of
           that
           
             Noble
             Art
          
           ,
           intending
           (
           if
           this
           Impression
           go
           well
           off
           for
           my
           Encouragement
           ,
           and
           be
           well
           taken
           ,
           )
           to
           publish
           another
           Excellent
           peece
           of
           Navigation
           very
           shortly
           .
           Lastly
           ,
           You
           have
           here
           a
           
             Mathematicall
             Dialogue
          
           ,
           betwixt
           
             Iames
             Paterson
          
           pretended
           Mathematician
           at
           Edinburgh
           ,
           and
           Me
           ,
           
             Iohn
             Forbes
             Printer
             to
             the
             City
             ,
             and
             Kings
             Vniversity
             of
             Aberdeen
             :
          
           in
           which
           Dialogue
           ,
           I
           have
           converted
           
             Vulgar
             Fractions
          
           into
           Decimalls
           ,
           and
           therefore
           any
           intelligent
           Person
           may
           reap
           some
           knowledge
           ,
           and
           I
           hope
           ,
           be
           well
           pleased
           with
           the
           same
           .
           
           For
           ,
           without
           any
           just
           Ground
           ,
           or
           Provocation
           given
           ,
           
             Iames
             Paterson
          
           did
           most
           ignorantly
           Rhyme
           against
           me
           ,
           into
           his
           Almanack
           ,
           for
           the
           year
           1683
           ,
           and
           likewise
           into
           his
           Almanack
           for
           the
           year
           1684
           :
           making
           a
           great
           noise
           ,
           concerning
           the
           mistake
           of
           two
           dayes
           for
           Hallow-Even
           ,
           altho
           Hallow-Day
           was
           exactly
           right
           ,
           both
           for
           the
           day
           of
           the
           Week
           ,
           and
           day
           of
           the
           Moneth
           :
           for
           all
           the
           World
           knoweth
           ,
           
             Hallow
             Even
          
           to
           fall
           upon
           the
           night
           before
           Hallow-Day
           .
           But
           his
           Errors
           are
           more
           gross
           ,
           making
           the
           
             Flood
             of
             Noah
          
           in
           his
           Chronologie
           ,
           in
           all
           his
           Almanacks
           three
           hundred
           years
           short
           :
           A
           very
           beastly
           Error
           ,
           besides
           other
           gross
           Errors
           ,
           which
           I
           forbear
           at
           this
           occasion
           ,
           any
           more
           to
           mention
           .
           For
           ,
           as
           the
           good
           old
           Saying
           is
           ,
           
             Envy
             shooteth
             at
             others
             ,
             and
             woundeth
             her self
             .
          
           Truely
           I
           am
           heartily
           sorry
           ,
           that
           both
           Mathematician
           and
           Printers
           are
           so
           evil
           Principled
           in
           the
           Grounds
           of
           Christianity
           ,
           as
           holy
           Ambrose
           sayeth
           ,
           
             Envy
             is
             nothing
             else
             ,
             but
             a
             Grief
             of
             the
             Mynd
             ,
             at
             other
             Mens
             Prosperitie
             .
          
           And
           for
           my
           own
           part
           ,
           I
           do
           declare
           it
           to
           the
           whole
           World
           ,
           I
           hate
           such
           unrighteous
           and
           base
           Practises
           .
           For
           
             Agnes
             Campbel
          
           Spouse
           to
           
             Patrick
             Telfer
          
           ,
           hath
           caused
           Counterfit
           and
           Re-print
           my
           Almanacks
           into
           her
           Printing-house
           these
           severall
           years
           bygone
           ,
           sometimes
           Entituling
           them
           by
           
             Aberdeens
             Almanack
          
           ,
           and
           other
           times
           ,
           according
           to
           
             Forbesses
             Almanack
          
           ,
           besides
           she
           hath
           for
           the
           ensuing
           year
           1684
           ,
           caused
           Print
           an
           Almanack
           as
           it
           were
           set
           fourth
           at
           Aberdeen
           ,
           
           and
           Printed
           in
           Aberdeen
           ,
           which
           is
           a
           most
           notorious
           untrueth
           :
           impudently
           affixing
           thereto
           ,
           some
           Lynes
           in
           the
           End
           ,
           of
           
             Dogrell
             Rhyme
          
           ,
           whereby
           she
           would
           have
           me
           to
           Patronise
           her
           base
           Execrations
           ;
           as
           tho
           〈◊〉
           ,
           (
           contrary
           to
           Christianity
           and
           the
           good
           Conduct
           of
           Nature
           ,
           )
           should
           wish
           any
           man
           for
           any
           cause
           to
           hang
           himself
           .
           For
           ,
           I
           seriously
           declare
           ,
           tho
           I
           be
           but
           one
           of
           the
           meanest
           of
           his
           MAIESTIES
           Subjects
           :
           yet
           ,
           I
           not
           only
           heartily
           pray
           for
           his
           long
           Life
           ,
           and
           good
           Health
           ;
           which
           I
           hold
           more
           to
           be
           my
           Duty
           ,
           then
           to
           drink
           :
           but
           also
           ,
           I
           have
           so
           much
           presumption
           ,
           as
           to
           strive
           to
           follow
           my
           GRACIOUS
           SOVERAIGN
           in
           this
           matter
           ,
           who
           by
           his
           numerous
           Acts
           of
           Clemency
           ,
           hath
           (
           indeed
           )
           sufficiently
           declared
           to
           all
           the
           World
           ,
           that
           he
           exactly
           followeth
           
             his
             Great
          
           LORD
           and
           MASTER
           in
           this
           ,
           that
           
             he
             wisheth
             not
             the
             Death
             or
             Ruin
             of
             his
             Subjects
             ;
             but
             rather
             that
             they
             would
             Repent
             and
             Live.
          
           For
           as
           Horace
           said
           well
           ,
           
             Subjects
             follow
             the
             Example
             of
             their
             Princes
             ,
             as
             certain
             Flowres
             turne
             according
             to
             the
             Sun.
             
          
        
         
           
             Almighty
             GOD
             ,
             preserve
             Our
             Gracious
             KING
             ,
          
           
             And
             's
             Subjects
             Hearts
             to
             due
             Obedience
             bring
             .
          
        
         
           And
           as
           for
           
             Robert
             Sanders
             ,
             Printer
             in
             Glasgow
             ,
          
           he
           hath
           not
           onely
           inserted
           a
           notorious
           Untrueth
           into
           all
           his
           Almanacks
           these
           diverse
           years
           bygone
           ,
           (
           saying
           set
           forth
           at
           Aberdeen
           ,
           as
           if
           the
           Famous
           Colledge
           of
           Glasgow
           had
           not
           so
           much
           Mathematicks
           ,
           as
           to
           set
           forth
           an
           yearly
           Almanack
           ,
           which
           in
           him
           ,
           
           was
           no
           great
           Act
           of
           Prudence
           ,
           )
           but
           also
           ,
           contrare
           to
           the
           Good
           and
           Iust
           Lawes
           of
           this
           
             Ancient
             Kingdom
          
           ,
           he
           hath
           caused
           Counterfit
           the
           
             City
             of
             Aberdeen's
             Armes
          
           ,
           and
           affixed
           them
           upon
           his
           most
           Erronious
           ,
           and
           Uncorrected
           Almanack
           ,
           for
           the
           year
           1684
           :
           whereof
           I
           am
           ashamed
           to
           speak
           ,
           that
           such
           an
           Almanack
           should
           be
           published
           in
           this
           Kingdom
           ;
           as
           may
           be
           seen
           into
           the
           
             Termly
             Quarters
          
           and
           
             Asspects
             ,
             &c.
          
           tending
           much
           to
           the
           Discredit
           of
           that
           Famous
           City
           of
           Glasgow
           :
           not
           deserving
           to
           be
           called
           their
           Printer
           ,
           
             Consideratis
             ,
             Considerandis
          
           .
           All
           which
           unrighteous
           Practises
           ,
           proceedeth
           more
           from
           Envy
           then
           sound
           Christianity
           ;
           according
           to
           the
           good
           old
           Saying
           ,
           
             The
             Envyous
             man
             thinketh
             his
             Neighbours
             losses
             to
             be
             his
             Gaines
             .
          
           And
           as
           the
           Apostle
           sayeth
           ,
           
             Titus
             1.
             15.
             
             Vnto
             the
             Pure
             all
             things
             are
             pure
             ,
             but
             unto
             them
             that
             are
             defiled
             and
             unbeleeving
             is
             nothing
             pure
             ;
             but
             even
             their
             very
             Minde
             and
             Conscience
             is
             defyled
             .
          
           And
           as
           for
           their
           Lying
           which
           is
           such
           a
           gross
           Sin
           ,
           that
           the
           Holy
           Spirit
           of
           GOD
           ,
           in
           the
           Scriptures
           doth
           very
           often
           expresly
           prohibet
           ,
           as
           
             Rev.
             21.
             27.
             
             Rev.
          
           22
           15
           and
           very
           many
           other
           places
           in
           Scripture
           .
           Yea
           ,
           
             King
             David
          
           himself
           sayeth
           
             Psalm
             63.
             11.
             
             The
             mouth
             of
             them
             that
             speak
             Lie
             shall
             be
             stopped
             ,
             &c.
             
          
           I
           might
           very
           largely
           insis●
           upon
           this
           ,
           only
           I
           shall
           desire
           the
           Guilty
           to
           be
           mor●
           studious
           ,
           and
           serious
           with
           the
           Holy
           Scriptures
           〈◊〉
           GOD
           ,
           which
           is
           the
           Rule
           of
           our
           Life
           .
           For
           ,
           〈◊〉
           very
           
             Heathen
             Egyptians
             ,
             they
             made
             a
             Law
             ,
             that
             ever
             
             Lyer
             should
             be
             put
             to
             Death
             .
          
           And
           Xenophon
           sayeth
           ,
           
             that
             a
             Lye
             is
             not
             capable
             of
             Pardon
             .
          
        
         
           
             Courteous
             Reader
          
           ,
           having
           Patiently
           born
           with
           all
           these
           injuries
           and
           Wrongs
           done
           unto
           me
           ,
           for
           a
           long
           time
           ,
           I
           could
           not
           (
           having
           this
           Opportunity
           )
           but
           clear
           my self
           ,
           in
           giving
           you
           a
           view
           thereof
           ,
           for
           which
           I
           humbly
           crave
           your
           Charitable
           Censure
           .
           For
           ,
           as
           Augustin
           sayeth
           ,
           
             Patience
             being
             often
             provocked
             with
             Injuries
             ,
             breaketh
             forth
             at
             last
             into
             Furie
             .
          
           I
           shall
           not
           (
           at
           present
           )
           Enlarge
           any
           farder
           ,
           but
           (
           as
           I
           did
           begin
           with
           my
           Antagonist
           
             Iames
             Paterson
          
           ,
           who
           was
           the
           Principall
           Occasioner
           of
           this
           Discourse
           )
           shut
           up
           all
           with
           that
           good
           Saying
           of
           
             Augustin
             ,
             Amongst
             the
             Foolish
             he
             is
             the
             greatest
             Fool
             ,
             that
             knoweth
             little
             ,
             and
             yet
             would
             seem
             ●o
             know
             much
             .
          
           And
           therefore
           I
           Conclude
           thus
           :
        
         
           
             
               ●ames
               Paterson
            
             ,
             your
             Wisdom
             is
             not
             great
             ,
          
           
             As
             may
             be
             seen
             into
             your
             Works
             of
             late
             :
          
           
             For
             though
             you
             say
             that
             I
             do
             
               Art
               disgrace
            
             ,
          
           
             Not
             knowing
             where
             I
             do
             my
             
               Errors
               place
            
             ;
          
           
             ●et
             sure
             I
             am
             ,
             they
             should
             have
             a
             Clean-Pow
             ,
          
           
             Who
             alwayes
             call
             their
             Neighbour
             Nittie-Now
             .
          
           
             ●or
             all
             the
             Errors
             you
             put
             to
             my
             Doore
             .
          
           
             ●re
             less
             then
             yours
             ,
             even
             by
             an
             hundred
             score
             .
          
           
             ●our
             
               Hallow
               Even
            
             ,
             and
             your
             
               Corrected
               Table
            
             ,
          
           
             ●re
             but
             two
             frolicks
             ,
             coming
             from
             a
             Bable
             .
          
           
             〈◊〉
             for
             your
             Eclipses
             and
             Moon's-Aspects
             ,
          
           
             ●ou
             are
             asham'd
             thereof
             in
             all
             respects
             .
          
           
             ●here's
             nothing
             then
             ,
             whereof
             I
             shall
             think
             shame
             ,
          
           
             ●ver
             to
             publish
             in
             my
             Countries
             Name
             .
          
           
           
             But
             notice
             Sir
             ,
             Here
             is
             a
             pretty
             Jest
             ;
          
           
             That
             Vulgar
             still
             esteems
             our
             Works
             the
             best
             ;
          
           
             As
             you
             confess
             ,
             into
             your
             Almanack
          
           
             For
             Eighty-foure
             ,
             which
             is
             a
             pretty
             Knack
             .
          
           
             It
             being
             holden
             for
             a
             reall
             trueth
             ,
          
           
             When
             men
             confess
             the
             same
             with
             their
             own
             Mouth
             .
          
           
             Yea
             ,
             fy
             upon
             it
             .
             You
             should
             Art
             disgrace
             !
          
           
             And
             wrong
             
               GOD'S
               Word
            
             with
             such
             a
             brasen
             face
             ;
          
           
             Making
             
               GOD'S
               Works
            
             three
             hundred
             Years
             to
             sleep
             ,
          
           
             Since
             Noah's-Ark
             did
             float
             upon
             the
             Deep
             .
          
           
             Which
             beastly
             Error
             ,
             I
             shall
             make
             appear
             ,
          
           
             From
             Almanacks
             you
             have
             made
             Year
             by
             Year
             .
          
           
             Now
             if
             this
             be
             the
             best
             part
             of
             your
             Pratticks
             ;
          
           
             Which
             do
             proceed
             from
             Irish-Mathematicks
             :
          
           
             SCOTLAND
             will
             then
             have
             no
             more
             of
             the
             same
             ,
          
           
             But
             keep
             themselves
             by
             BON-ACCORD'S
             Good
             Name
             :
          
           
             Who
             still
             shall
             have
             the
             Praise
             what
             e're
             befall
             ,
          
           
             Because
             your
             Errors
             are
             so
             gross
             ,
             in
             all
             .
          
           
             Your
             Spirall-Line
             ,
             and
             eke
             your
             
               Line
               of
               Chords
            
             ,
          
           
             Both
             of
             them
             little
             Wit
             ,
             or
             Skill
             affords
             .
          
           
             Such
             learned
             Subjects
             ,
             and
             such
             stately
             Knacks
             ,
          
           
             Are
             most
             unfit
             for
             
               Yearly
               Almanacks
            
             .
          
           
             Whose
             Matter
             still
             should
             be
             for
             
               Vulgar
               use
            
             ,
          
           
             Neglecting
             which
             ,
             you
             do
             your self
             abuse
          
           
             Now
             if
             you
             will
             Rhyme
             more
             in
             the
             next
             Year
             ,
          
           
             My
             Answeres
             then
             shall
             be
             apparent
             clear
             .
          
           
             Your
             Almanacks
             by
             Mine
             .
             I
             pray
             to
             mend
             ,
          
           
             I
             'le
             say
             no
             more
             .
             I
             think
             it
             tyme
             to
             end
             .
          
        
         
           
             F1I6N8I3S
             quod
             FORBES
             .
          
        
         
           GOD
           SAVE
           THE
           KING
           .
        
      
    
     
  

