







 
   
     
       
         Of the unequality of natural time, with its reason and cavses. together with a table of the true æquation of natvral dayes : drawn up chiefly for the use of the gentry, in order to their more true adjusting, and right managing of pendulum clocks, and watches / by John Smith ...
         Smith, John, fl. 1673-1680.
      
       
         
           1686
        
      
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         ESTC R20028
         11766947
         ocm 11766947
         48793
         
           
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             Of the unequality of natural time, with its reason and cavses. together with a table of the true æquation of natvral dayes : drawn up chiefly for the use of the gentry, in order to their more true adjusting, and right managing of pendulum clocks, and watches / by John Smith ...
             Smith, John, fl. 1673-1680.
          
           [2], 42 p.
           
             Printed for Joseph Watts ...,
             London :
             1686.
          
           
             Includes table.
             Reproduction of original in Cambridge University Library.
          
        
      
    
     
       
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         eng
      
       
         
           Horology -- Early works to 1800.
           Clocks and watches.
        
      
    
     
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           OF
           THE
           UNEQUALITY
           OF
           NATURAL
           TIME
           ,
           WITH
           ITS
           REASON
           and
           CAVSES
           .
           TOGETHER
           WITH
           A
           TABLE
           OF
           THE
           TRUE
           AEQUATION
           OF
           
             NATVRAL
             DAYES
          
           .
           Drawn
           up
           Chiefly
           for
           the
           Use
           of
           The
           GENTRY
           ,
           in
           Order
           to
           their
           more
           true
           Adjusting
           ,
           and
           right
           Managing
           of
           
             Pendulum
             Clocks
          
           ,
           and
           Watches
           .
           By
           
             John
             Smith
          
           ,
           C.
           M.
           
        
         
           LONDON
           ,
           Printed
           for
           
             Joseph
             Watts
          
           ,
           at
           the
           Half-Moon
           in
           St.
           
           Paul's
           Church-yard
           .
           1686.
           
        
      
    
     
       
         
         
         
           A
           TABLE
           of
           Equations
           ,
           FOR
           REDUCING
           The
           Unequality
           of
           NATURAL
           DAYS
           TO
           A
           MEAN
           and
           EQUAL
           TIME
           .
           Designed
           chiefly
           in
           order
           to
           the
           more
           true
           Adjusting
           ,
           and
           right
           Managing
           of
           Pendulum
           CLOCKS
           and
           WATCHES
           .
           By
           JOHN
           SMITH
           ,
           C.
           M.
           
        
         
           
             
               
                 Day
                 .
              
               
                 Janua
                 .
                 Sec
              
               
                 Febru
                 .
                 Sec.
                 
              
               
                 March
                 Sec.
                 
              
               
                 April
                 Sec.
                 
              
               
                 May.
                 Sec.
                 
              
               
                 June
                 .
                 Sec.
                 
              
               
                 July
                 .
                 Sec.
                 
              
               
                 Aug.
                 Sec.
                 
              
               
                 Sept.
                 Sec.
                 
              
               
                 Octob.
                 Sec.
                 
              
               
                 Nov.
                 Sec.
                 
              
               
                 Dec.
                 Sec.
                 
              
            
             
               
                 1
              
               
                 Natural
                 dayes
                 longer
                 than
                 the
                 mean
                 day
                 ,
                 and
                 Clocks
                 gain
                 .
              
               
                 24
              
               
                 ☉
              
               
                 0
              
               
                 Natural
                 dayes
                 shorter
                 than
                 the
                 mean
                 day
                 ,
                 and
                 Clocks
                 lose
                 .
              
               
                 17
              
               
                 Natural
                 dayes
                 shorter
                 than
                 the
                 mean
                 day
                 ,
                 and
                 Clocks
                 lose
                 .
              
               
                 17
              
               
                  
              
               
                 3
              
               
                 Natural
                 dayes
                 longer
                 than
                 the
                 mean
                 day
                 ,
                 and
                 Clocks
                 gain
                 .
              
               
                 11
              
               
                 Natural
                 dayes
                 longer
                 .
              
               
                 7
              
               
                 Nat.
                 dayes
                 shorter
                 than
                 the
                 mean
                 ,
                 and
                 Clocks
                 lose
                 .
              
               
                 9
              
               
                 Nat.
                 dayes
                 shorter
                 than
                 the
                 mean
                 ,
                 and
                 Clocks
                 lose
                 .
              
               
                 20
              
               
                 Nat.
                 days
                 shorter
                 ,
                 Clocks
                 lose
                 .
              
               
                 14
              
               
                 Natural
                 dayes
                 longer
                 than
                 the
                 mean
                 ,
                 and
                 Clocks
                 gain
                 .
              
               
                 9
              
               
                 Natural
                 dayes
                 longer
                 than
                 the
                 mean
                 ,
                 and
                 Clocks
                 gain
                 .
              
               
                 29
              
            
             
               
                 2
              
               
                 23
              
               
                 Natural
                 dayes
                 shorter
                 than
                 the
                 mean
                 day
                 ,
                 and
                 Clocks
                 lose
                 .
              
               
                 2
              
               
                 17
              
               
                 16
              
               
                 3
              
               
                 11
              
               
                 7
              
               
                 9
              
               
                 20
              
               
                 14
              
               
                 10
              
               
                 30
              
            
             
               
                 3
              
               
                 22
              
               
                 2
              
               
                 18
              
               
                 16
              
               
                 1
              
               
                 12
              
               
                 7
              
               
                 9
              
               
                 21
              
               
                 13
              
               
                 10
              
               
                 30
              
            
             
               
                 4
              
               
                 21
              
               
                 4
              
               
                 18
              
               
                 15
              
               
                 ☉
              
               
                 0
              
               
                 12
              
               
                 6
              
               
                 11
              
               
                 21
              
               
                 13
              
               
                 10
              
               
                 30
              
            
             
               
                 5
              
               
                 20
              
               
                 4
              
               
                 18
              
               
                 15
              
               
                 ☉
              
               
                 0
              
               
                 12
              
               
                 6
              
               
                 12
              
               
                 21
              
               
                 13
              
               
                 11
              
               
                 30
              
            
             
               
                 6
              
               
                 19
              
               
                 4
              
               
                 18
              
               
                 14
              
               
                 Nat.
                 dayes
                 longer
                 than
                 the
                 mean
                 day
                 ,
                 and
                 Clocks
                 gain
                 :
              
               
                 1
              
               
                 13
              
               
                 6
              
               
                 13
              
               
                 21
              
               
                 13
              
               
                 12
              
               
                 30
              
            
             
               
                 7
              
               
                 18
              
               
                 5
              
               
                 18
              
               
                 14
              
               
                 2
              
               
                 13
              
               
                 6
              
               
                 13
              
               
                 22
              
               
                 12
              
               
                 12
              
               
                 30
              
            
             
               
                 8
              
               
                 17
              
               
                 5
              
               
                 18
              
               
                 14
              
               
                 2
              
               
                 13
              
               
                 5
              
               
                 14
              
               
                 22
              
               
                 11
              
               
                 13
              
               
                 30
              
            
             
               
                 9
              
               
                 16
              
               
                 6
              
               
                 18
              
               
                 14
              
               
                 3
              
               
                 13
              
               
                 4
              
               
                 14
              
               
                 22
              
               
                 10
              
               
                 15
              
               
                 30
              
            
             
               
                 10
              
               
                 16
              
               
                 8
              
               
                 18
              
               
                 13
              
               
                 3
              
               
                 13
              
               
                 4
              
               
                 15
              
               
                 21
              
               
                 9
              
               
                 17
              
               
                 30
              
            
             
               
                 11
              
               
                 16
              
               
                 8
              
               
                 18
              
               
                 13
              
               
                 3
              
               
                 13
              
               
                 3
              
               
                 15
              
               
                 21
              
               
                 8
              
               
                 17
              
               
                 30
              
            
             
               
                 12
              
               
                 16
              
               
                 9
              
               
                 18
              
               
                 12
              
               
                 4
              
               
                 13
              
               
                 2
              
               
                 15
              
               
                 20
              
               
                 7
              
               
                 18
              
               
                 30
              
            
             
               
                 13
              
               
                 16
              
               
                 9
              
               
                 19
              
               
                 12
              
               
                 4
              
               
                 13
              
               
                 2
              
               
                 16
              
               
                 20
              
               
                 7
              
               
                 18
              
               
                 30
              
            
             
               
                 14
              
               
                 15
              
               
                 10
              
               
                 19
              
               
                 11
              
               
                 5
              
               
                 13
              
               
                 1
              
               
                 16
              
               
                 20
              
               
                 6
              
               
                 19
              
               
                 31
              
            
             
               
                 15
              
               
                 15
              
               
                 10
              
               
                 20
              
               
                 11
              
               
                 5
              
               
                 13
              
               
                 ☉
              
               
                 0
              
               
                 17
              
               
                 20
              
               
                 6
              
               
                 20
              
               
                 31
              
            
             
               
                 16
              
               
                 14
              
               
                 11
              
               
                 20
              
               
                 10
              
               
                 6
              
               
                 12
              
               
                 ☉
              
               
                 0
              
               
                 17
              
               
                 20
              
               
                 5
              
               
                 21
              
               
                 31
              
            
             
               
                 17
              
               
                 13
              
               
                 12
              
               
                 20
              
               
                 10
              
               
                 6
              
               
                 12
              
               
                 Nat.
                 dayes
                 shorter
                 .
              
               
                 1
              
               
                 17
              
               
                 20
              
               
                 4
              
               
                 22
              
               
                 31
              
            
             
               
                 18
              
               
                 12
              
               
                 13
              
               
                 20
              
               
                 10
              
               
                 6
              
               
                 11
              
               
                 2
              
               
                 18
              
               
                 20
              
               
                 3
              
               
                 23
              
               
                 30
              
            
             
               
                 19
              
               
                 11
              
               
                 13
              
               
                 20
              
               
                 10
              
               
                 6
              
               
                 11
              
               
                 3
              
               
                 18
              
               
                 19
              
               
                 3
              
               
                 23
              
               
                 30
              
            
             
               
                 20
              
               
                 11
              
               
                 13
              
               
                 19
              
               
                 10
              
               
                 7
              
               
                 11
              
               
                 4
              
               
                 19
              
               
                 19
              
               
                 2
              
               
                 24
              
               
                 30
              
            
             
               
                 21
              
               
                 10
              
               
                 14
              
               
                 19
              
               
                 9
              
               
                 8
              
               
                 11
              
               
                 4
              
               
                 19
              
               
                 19
              
               
                 ☉
              
               
                 0
              
               
                 24
              
               
                 30
              
            
             
               
                 22
              
               
                 9
              
               
                 14
              
               
                 19
              
               
                 7
              
               
                 8
              
               
                 11
              
               
                 4
              
               
                 19
              
               
                 19
              
               
                 ☉
              
               
                 0
              
               
                 24
              
               
                 30
              
            
             
               
                 23
              
               
                 8
              
               
                 15
              
               
                 19
              
               
                 7
              
               
                 9
              
               
                 10
              
               
                 4
              
               
                 19
              
               
                 19
              
               
                 ☉
              
               
                 0
              
               
                 25
              
               
                 30
              
            
             
               
                 24
              
               
                 6
              
               
                 15
              
               
                 19
              
               
                 7
              
               
                 10
              
               
                 10
              
               
                 5
              
               
                 19
              
               
                 18
              
               
                 Longer
                 .
              
               
                 1
              
               
                 25
              
               
                 29
              
            
             
               
                 25
              
               
                 5
              
               
                 15
              
               
                 19
              
               
                 6
              
               
                 10
              
               
                 10
              
               
                 5
              
               
                 20
              
               
                 17
              
               
                 2
              
               
                 25
              
               
                 28
              
            
             
               
                 26
              
               
                 4
              
               
                 15
              
               
                 19
              
               
                 5
              
               
                 11
              
               
                 10
              
               
                 5
              
               
                 20
              
               
                 17
              
               
                 2
              
               
                 25
              
               
                 28
              
            
             
               
                 27
              
               
                 3
              
               
                 16
              
               
                 19
              
               
                 5
              
               
                 11
              
               
                 10
              
               
                 5
              
               
                 20
              
               
                 16
              
               
                 3
              
               
                 26
              
               
                 28
              
            
             
               
                 28
              
               
                 3
              
               
                 17
              
               
                 19
              
               
                 5
              
               
                 11
              
               
                 9
              
               
                 6
              
               
                 20
              
               
                 16
              
               
                 4
              
               
                 26
              
               
                 27
              
            
             
               
                 29
              
               
                 2
              
               
                  
              
               
                 19
              
               
                 4
              
               
                 11
              
               
                 9
              
               
                 7
              
               
                 20
              
               
                 15
              
               
                 6
              
               
                 27
              
               
                 27
              
            
             
               
                 30
              
               
                 1
              
               
                 18
              
               
                 4
              
               
                 11
              
               
                 8
              
               
                 8
              
               
                 20
              
               
                 15
              
               
                 7
              
               
                 27
              
               
                 25
              
            
             
               
                 31
              
               
                 ☉
              
               
                 0
              
               
                 17
              
               
                  
              
               
                 11
              
               
                  
              
               
                 9
              
               
                 20
              
               
                  
              
               
                 8
              
               
                  
              
               
                 24
              
            
             
               
                  
              
               
                 Clocks
                 gain
                 this
                 Month
              
               
                 Clocks
                 lose
                 this
                 Month
              
               
                 Clocks
                 lose
                 this
                 Month
              
               
                 Clocks
                 lose
                 this
                 Month
              
               
                 Clocks
                 gain
                 this
                 Month
              
               
                 Clocks
                 gain
                 this
                 Month
              
               
                 Clocks
                 lose
                 this
                 Month
              
               
                 Clocks
                 lose
                 this
                 Month
              
               
                 Clocks
                 lose
                 this
                 Month
              
               
                 Clocks
                 lose
                 this
                 Month
              
               
                 Clocks
                 gain
                 this
                 Month
              
               
                 Clocks
                 gain
                 this
                 Month
              
            
             
               
                 Sum
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
               
                 Min.
                 
              
               
                 Sec.
                 
              
            
             
               
                 6
              
               
                 26
              
               
                 4
              
               
                 29
              
               
                 9
              
               
                 37
              
               
                 5
              
               
                 16
              
               
                 2
              
               
                 47
              
               
                 5
              
               
                 43
              
               
                 0
              
               
                 6
              
               
                 8
              
               
                 23
              
               
                 9
              
               
                 41
              
               
                 2
              
               
                 20
              
               
                 9
              
               
                 38
              
               
                 15
              
               
                 9
              
            
          
        
         
           This
           Table
           contains
           those
           Seconds
           of
           Time
           that
           each
           natural
           Day
           is
           either
           longer
           or
           shorter
           than
           the
           mean
           or
           equal
           day
           ,
           or
           such
           a
           one
           as
           contains
           in
           length
           the
           just
           time
           of
           24
           hours
           ;
           from
           which
           Mean
           Day
           the
           Natural
           ones
           differing
           almost
           continually
           in
           length
           ,
           this
           Table
           shall
           still
           give
           you
           the
           difference
           between
           them
           ,
           and
           (
           by
           inspection
           only
           )
           inform
           you
           what
           quantity
           of
           time
           each
           natural
           day
           is
           either
           more
           than
           24
           hours
           long
           ,
           or
           less
           .
        
         
           Note
           ,
           That
           upon
           each
           particular
           day
           ,
           a
           Clock
           that
           is
           well
           adjusted
           to
           a
           mean
           or
           24
           hour
           day
           ,
           shall
           then
           either
           gain
           or
           lose
           just
           so
           much
           time
           ,
           as
           that
           natural
           day
           is
           either
           longer
           or
           shorter
           than
           the
           mean
           day
           :
        
         
           Therefore
           ,
           if
           a
           Clock
           ,
           having
           been
           first
           set
           right
           to
           the
           Sun
           the
           first
           day
           of
           any
           particular
           Month
           ,
           shall
           either
           gain
           or
           lose
           in
           that
           whole
           Month
           so
           much
           in
           time
           as
           the
           whole
           sum
           of
           Equations
           for
           that
           Month
           amounts
           to
           ,
           (
           which
           you
           shall
           find
           noted
           down
           at
           the
           bottom
           of
           every
           particular
           Column
           )
           then
           is
           it
           well
           adjusted
           to
           the
           mean
           ,
           Equal
           or
           24
           hour
           Day
           ;
           but
           if
           it
           have
           not
           either
           got
           or
           lost
           so
           much
           as
           the
           whole
           sum
           of
           Equations
           for
           the
           whole
           time
           it
           has
           gone
           in
           do's
           amount
           to
           ,
           then
           must
           its
           motion
           be
           regulated
           as
           occasion
           requires
           ,
           by
           skrewing
           up
           the
           Bob
           to
           make
           it
           go
           faster
           ,
           in
           case
           it
           has
           not
           got
           enough
           ;
           or
           else
           letting
           the
           Bob
           down
           lower
           to
           make
           it
           go
           slower
           ,
           in
           case
           it
           hath
           not
           lost
           so
           much
           as
           the
           whole
           sum
           of
           Equations
           do
           amount
           to
           for
           the
           time
           it
           has
           gone
           in
           .
        
      
       
         
         
         
           OF
           THE
           UNEQUALITY
           OF
           NATURAL
           TIME
           ,
           &c.
           
        
         
           THE
           Vibrations
           of
           a
           long
           and
           weighty
           Pendulum
           ,
           although
           it
           be
           justly
           esteemed
           to
           be
           the
           most
           exact
           and
           steady
           of
           all
           Natural
           Motion
           ;
           yet
           is
           it
           not
           capable
           of
           regulating
           the
           Index
           of
           a
           Clock
           to
           such
           a
           pitch
           of
           Perfection
           ,
           as
           continually
           to
           point
           out
           the
           same
           time
           that
           shall
           be
           given
           by
           the
           Sun
           on
           the
           Lines
           of
           an
           exact
           and
           true
           Dial.
           
        
         
           The
           truth
           of
           which
           is
           sufficiently
           
           made
           evident
           by
           the
           most
           exact
           and
           critical
           Experiments
           :
           For
           ,
           let
           all
           the
           moving
           parts
           ,
           of
           a
           Pendulum
           Clock
           ,
           be
           contriv'd
           with
           the
           greatest
           Skill
           and
           Judgment
           ,
           and
           then
           made
           up
           by
           the
           most
           cunning
           and
           curious
           Hand
           ,
           and
           after
           all
           this
           be
           adjusted
           by
           the
           utmost
           Care
           and
           Diligence
           of
           Man
           ;
           yet
           shall
           not
           the
           Motion
           of
           it
           correspond
           so
           continually
           with
           the
           Hours
           given
           by
           the
           Sun
           ,
           but
           that
           in
           some
           considerable
           quantity
           of
           Time
           you
           shall
           be
           sensible
           of
           gain
           or
           loss
           in
           the
           Motion
           of
           it
           .
        
         
           The
           true
           Reason
           of
           which
           Variation
           proceeds
           not
           from
           any
           Defect
           that
           may
           be
           attributed
           to
           the
           Motion
           of
           the
           Pendulum
           ,
           (
           of
           whose
           exactness
           we
           are
           by
           many
           curious
           Experiments
           sufficiently
           sensible
           ;
           )
           but
           rather
           from
           an
           Unequality
           legible
           
           and
           easie
           enough
           to
           be
           discover'd
           in
           the
           diurnal
           Motions
           of
           the
           Sun.
           
        
         
           Vulgarly
           ,
           for
           the
           most
           part
           ,
           the
           Sun
           is
           indeed
           accounted
           to
           be
           the
           Standard
           and
           Measure
           of
           all
           equal
           Time
           ,
           and
           Men
           generally
           esteem
           Natural
           Dayes
           to
           be
           all
           of
           one
           length
           ,
           as
           containing
           the
           just
           time
           of
           24
           Hours
           ;
           but
           upon
           a
           more
           exact
           and
           curious
           Scrutiny
           ,
           these
           vulgar
           Suppositions
           are
           found
           to
           be
           false
           :
           For
           ,
           neither
           is
           the
           Sun's
           Motion
           found
           to
           be
           exact
           ,
           being
           in
           appearance
           to
           us
           ,
           sometimes
           swift
           ,
           and
           at
           other
           times
           more
           slow
           ;
           nor
           are
           the
           Dayes
           themselves
           ,
           accounted
           from
           Noon
           to
           Noon
           ,
           of
           equal
           lengths
           ,
           some
           Dayes
           containing
           more
           Time
           than
           some
           ,
           and
           others
           less
           ;
           there
           being
           a
           natural
           necessity
           ,
           that
           the
           unequal
           Motions
           of
           the
           
           Sun
           should
           produce
           such
           inequalities
           in
           the
           lengths
           of
           those
           natural
           Days
           that
           are
           bounded
           by
           it
           .
        
         
           For
           a
           natural
           Day
           being
           composed
           of
           that
           space
           of
           Time
           ,
           in
           which
           any
           one
           Place
           or
           Point
           of
           the
           Earth
           is
           moved
           in
           its
           diurnal
           Motion
           East-ward
           ,
           from
           the
           Meridian
           Sun
           of
           any
           one
           Day
           ,
           to
           that
           of
           the
           next
           ;
           it
           will
           follow
           ,
           that
           these
           Dayes
           can
           never
           be
           equal
           ,
           unless
           the
           Sun
           in
           that
           space
           of
           Time
           be
           so
           mov'd
           in
           her
           annual
           Orb
           ,
           as
           to
           cut
           out
           equal
           Divisions
           on
           the
           Aequinoctial
           upon
           the
           Meridian
           of
           every
           Day
           ;
           which
           Divisions
           so
           intersected
           ,
           are
           by
           the
           Learned
           termed
           ,
           the
           
             Right
             Ascensions
          
           :
           For
           whenever
           the
           Right
           Ascension
           either
           of
           Sun
           or
           Star
           is
           mentioned
           ,
           we
           are
           to
           understand
           by
           it
           ,
           those
           Degrees
           of
           the
           Aequinoctial
           that
           are
           intersected
           
           by
           that
           Meridian
           ,
           on
           which
           either
           Sun
           or
           Star
           have
           then
           their
           place
           .
        
         
           But
           that
           the
           Sun
           between
           each
           Meridian
           does
           not
           move
           such
           just
           and
           certain
           Spaces
           in
           her
           own
           Orb
           ,
           as
           thus
           to
           intersect
           equal
           Divisions
           on
           the
           Aequi-nox
           ,
           upon
           every
           Meridian
           ,
           needs
           no
           other
           evidence
           than
           what
           either
           Calculation
           it self
           affords
           ,
           or
           Globes
           by
           an
           occular
           Inspection
           demonstrate
           to
           us
           .
           By
           Calculation
           ,
           if
           an
           exact
           Table
           of
           
             Right
             Ascensions
          
           be
           composed
           ,
           for
           the
           Meridian
           ,
           or
           Noon-time
           of
           each
           particular
           Day
           ,
           there
           will
           be
           found
           almost
           a
           continual
           difference
           in
           the
           length
           of
           those
           Intersections
           that
           are
           made
           by
           the
           Sun
           on
           the
           Aequi-nox
           ,
           upon
           every
           Meridian
           ;
           so
           that
           there
           will
           by
           this
           means
           be
           found
           nothing
           but
           an
           almost
           continual
           unequalness
           
           in
           the
           
             Right
             Ascensions
             ▪
          
           Which
           will
           be
           the
           more
           apparent
           ,
           if
           you
           make
           an
           Estimation
           of
           the
           
             Right
             Ascensions
          
           of
           about
           10
           Dayes
           together
           ,
           and
           compare
           that
           with
           those
           of
           the
           same
           Number
           .
           The
           like
           will
           appear
           plainly
           ,
           if
           tryed
           on
           the
           Globe
           ;
           for
           if
           you
           mark
           out
           on
           the
           Ecliptick
           any
           10
           ,
           or
           more
           Day
           's
           Motion
           of
           the
           Sun
           ,
           according
           to
           his
           true
           place
           found
           out
           in
           an
           exact
           Ephimeris
           ,
           and
           passing
           these
           10
           ,
           or
           more
           Days
           motion
           under
           the
           Meridian
           ,
           noting
           what
           Degrees
           on
           the
           Aequmoctial
           are
           then
           traced
           out
           ,
           which
           compared
           with
           the
           Degrees
           traced
           out
           ,
           by
           making
           the
           same
           number
           of
           Day
           's
           Motion
           in
           some
           other
           part
           of
           the
           Ecliptick
           ,
           to
           pass
           the
           Meridian
           ,
           and
           the
           difference
           of
           
             Right
             Ascensions
          
           included
           between
           those
           two
           equal
           number
           of
           Dayes
           will
           plainly
           appear
           .
        
         
         
           All
           which
           Irregularities
           ,
           or
           difference
           in
           
             Right
             Ascension
          
           ,
           proceed
           from
           two
           principal
           Causes
           :
           1.
           
           From
           the
           different
           Positions
           :
           And
           ,
           2.
           
           From
           the
           
             different
             Centres
          
           of
           those
           Orbs
           in
           which
           ,
           and
           according
           to
           which
           the
           Sun
           and
           Earth
           do
           move
           ;
           from
           whence
           arises
           a
           natural
           necessity
           ,
           that
           between
           two
           such
           regular
           and
           equal
           Motions
           ,
           whose
           Position
           is
           thus
           oblique
           ,
           those
           appearing
           differences
           should
           still
           arise
           ;
           for
           though
           both
           Sun
           and
           Earth
           ,
           the
           one
           in
           his
           annual
           the
           other
           in
           it's
           diurnal
           Revolutions
           ,
           be
           rationally
           supposed
           to
           be
           regular
           and
           equal
           in
           their
           own
           Motions
           ;
           yet
           in
           regard
           of
           the
           different
           Positions
           of
           their
           Spheres
           ,
           the
           
             Right
             Ascensions
          
           that
           are
           made
           by
           them
           cannot
           be
           equal
           ;
           it
           being
           impossible
           that
           the
           Sun
           ,
           when
           near
           Aries
           and
           Libra
           ,
           where
           he
           moves
           
           cross
           the
           Equinoctial
           ,
           should
           then
           in
           any
           particular
           number
           of
           days
           make
           so
           great
           an
           alteration
           in
           
             Right
             Ascension
          
           ,
           as
           he
           must
           do
           near
           the
           two
           Tropicks
           ,
           where
           both
           Equinoctial
           and
           Ecliptick
           run
           paralel
           one
           to
           the
           other
           ;
           and
           accordingly
           by
           the
           best
           Tables
           of
           
             Right
             Ascension
          
           ,
           't
           is
           found
           that
           the
           
             Right
             Ascensions
          
           of
           10
           daies
           motion
           of
           the
           Sun
           near
           the
           Tropick
           of
           Capricorn
           ,
           shall
           arise
           to
           above
           11
           degrees
           30
           minutes
           ,
           whereas
           that
           of
           the
           same
           number
           of
           daies
           near
           the
           Equinoctial
           Point
           of
           Aries
           shall
           scarcely
           amount
           to
           9
           degrees
           .
        
         
           Moreover
           ,
           from
           the
           eccentricity
           of
           these
           Orbs
           ,
           another
           irregularity
           does
           happen
           in
           the
           
             Right
             Ascensions
          
           ,
           for
           the
           Centre
           of
           the
           Earth
           ,
           upon
           which
           it
           turns
           round
           in
           it's
           daily
           Revolutions
           ,
           being
           not
           
           the
           same
           with
           the
           Centre
           of
           the
           Suns
           Orb
           ,
           it
           follows
           that
           the
           apparent
           Equinoxes
           pointed
           out
           by
           an
           imaginary
           line
           drawn
           through
           the
           centre
           of
           the
           Earth
           ,
           and
           intersecting
           the
           Ecliptick
           ,
           shall
           divide
           that
           Circle
           into
           two
           unequal
           parts
           ;
           from
           whence
           it
           arises
           ,
           that
           the
           Sun
           must
           spend
           more
           daies
           in
           passing
           through
           one
           half
           of
           the
           Ecliptick
           ,
           than
           he
           does
           in
           passing
           through
           the
           other
           ;
           and
           accordingly
           by
           experience
           he
           is
           found
           to
           move
           through
           that
           part
           between
           Libra
           and
           Aries
           in
           179
           daies
           ,
           but
           in
           passing
           between
           Aries
           and
           Libra
           he
           takes
           up
           186
           ,
           which
           is
           7
           dayes
           more
           ;
           so
           that
           in
           that
           part
           of
           the
           Year
           between
           September
           and
           March
           ,
           he
           seems
           to
           us
           to
           be
           swift
           in
           motion
           ,
           but
           in
           the
           other
           part
           between
           March
           and
           September
           his
           apparent
           course
           is
           more
           slow
           ;
           
           which
           seeming
           swiftness
           and
           slowness
           of
           the
           Suns
           motion
           ,
           is
           the
           cause
           that
           the
           
             Right
             Ascensions
          
           near
           both
           the
           Tropicks
           are
           not
           alike
           ,
           but
           differ
           much
           ,
           as
           do
           also
           those
           that
           are
           nigh
           the
           Equinoxes
           :
           for
           the
           
             Right
             Ascension
          
           of
           10
           daies
           motion
           near
           the
           Winter
           Tropick
           ,
           is
           more
           by
           60
           Minutes
           ,
           than
           that
           of
           the
           same
           number
           of
           daies
           near
           that
           of
           the
           Summer
           one
           ;
           so
           also
           the
           
             Right
             Ascension
          
           of
           10
           daies
           time
           near
           Libra
           ,
           amounts
           to
           above
           30
           Minutes
           more
           than
           those
           of
           the
           same
           number
           of
           daies
           near
           Aries
           does
           .
        
         
           Having
           thus
           plainly
           demonstrated
           that
           natural
           daies
           must
           needs
           be
           unequal
           ,
           and
           laid
           down
           the
           Causes
           from
           whence
           those
           unequalities
           do
           still
           arise
           ;
           I
           suppose
           it
           may
           now
           be
           concluded
           to
           be
           extreamly
           unreasonable
           ,
           for
           those
           that
           are
           so
           Nice
           
           and
           Curious
           as
           some
           are
           ,
           to
           expect
           an
           exact
           correspondence
           between
           the
           times
           given
           by
           the
           motions
           of
           a
           Clock
           ,
           and
           those
           divisions
           of
           it
           that
           are
           made
           by
           these
           unsteady
           motions
           of
           the
           Sun
           on
           the
           Lines
           of
           a
           Dial
           ;
           for
           if
           from
           the
           Reasons
           before
           laid
           down
           ,
           there
           be
           in
           nature
           a
           necessity
           for
           those
           differences
           of
           
             Right
             Ascension
          
           before
           asserted
           ,
           and
           that
           the
           daies
           which
           they
           bound
           ,
           must
           differ
           also
           in
           length
           ,
           correspondent
           to
           what
           those
           differences
           in
           
             Right
             Ascension
          
           do
           amount
           to
           ;
           how
           then
           is
           it
           possible
           that
           those
           exact
           and
           regular
           motions
           of
           a
           Pendulum
           ,
           to
           what
           pitch
           soever
           it
           be
           set
           ,
           should
           agree
           with
           these
           motions
           of
           the
           Sun
           ,
           and
           truely
           divide
           those
           daies
           that
           are
           not
           so
           regular
           as
           it self
           is
           :
           For
           ,
        
         
           Suppose
           a
           Clock
           should
           be
           adjusted
           
           to
           the
           hour
           at
           a
           time
           when
           natural
           daies
           are
           shortest
           ,
           as
           about
           the
           middle
           of
           March
           ,
           this
           Clock
           with
           the
           same
           pitch
           of
           motion
           ,
           shall
           in
           June
           or
           December
           finish
           it's
           diurnal
           Revolutions
           sooner
           than
           the
           day
           shall
           do
           ,
           by
           reason
           the
           natural
           daies
           are
           now
           longer
           than
           those
           of
           March
           ,
           to
           which
           the
           Clock
           had
           been
           formerly
           adjusted
           ;
           and
           by
           consequence
           it
           shall
           now
           gain
           upon
           every
           day
           ,
           just
           so
           much
           time
           as
           these
           daies
           in
           December
           are
           longer
           than
           those
           of
           March.
           So
           on
           the
           contrary
           ,
           if
           a
           Clock
           be
           adjusted
           to
           go
           true
           with
           the
           Sun
           in
           the
           Month
           of
           December
           ,
           at
           which
           time
           the
           natural
           day
           is
           alwayes
           longest
           ,
           this
           Clock
           when
           natural
           daies
           are
           shorter
           ,
           as
           in
           March
           or
           September
           ,
           shall
           not
           finish
           it
           's
           daily
           Revolutions
           so
           soon
           as
           the
           day
           it self
           shall
           be
           accomplished
           ,
           
           and
           by
           consequence
           go
           each
           day
           so
           much
           too
           slow
           ,
           as
           those
           daies
           of
           March
           or
           September
           are
           more
           short
           than
           them
           to
           which
           the
           Clock
           before
           had
           been
           exactly
           adjusted
           .
        
         
           Since
           therefore
           there
           is
           no
           tolerable
           exactness
           in
           thus
           adjusting
           Clocks
           to
           the
           Sun
           it self
           ,
           because
           being
           thus
           adjusted
           at
           times
           when
           daies
           are
           either
           shortest
           or
           longest
           ,
           their
           gaining
           or
           losing
           will
           be
           the
           more
           extream
           in
           the
           contrary
           parts
           of
           the
           year
           :
           for
           Example
           ;
           Clocks
           adjusted
           to
           the
           Sun
           in
           March
           shall
           upon
           most
           daies
           in
           December
           gain
           almost
           50
           Seconds
           ,
           which
           in
           the
           Months
           time
           shall
           amount
           to
           near
           half
           an
           hour
           ;
           and
           on
           the
           contrary
           ,
           if
           adjusted
           to
           go
           true
           with
           the
           Sun
           in
           December
           ,
           it
           shall
           in
           March
           lose
           the
           same
           time
           ,
           and
           so
           for
           any
           
           other
           ,
           according
           as
           daies
           do
           differ
           in
           length
           .
        
         
           That
           Clocks
           therefore
           may
           be
           reduced
           to
           a
           more
           exact
           pitch
           of
           motion
           ,
           that
           their
           gain
           or
           loss
           may
           never
           be
           so
           extream
           ,
           it
           will
           be
           necessary
           to
           adjust
           them
           ,
           so
           as
           that
           their
           motion
           may
           be
           agreeable
           to
           that
           of
           a
           middle
           day
           ,
           or
           such
           a
           one
           as
           is
           a
           mean
           between
           natural
           daies
           that
           are
           most
           long
           ,
           and
           those
           others
           that
           are
           most
           short
           ;
           to
           which
           pitch
           if
           a
           Clock
           be
           once
           adjusted
           ,
           it
           's
           gain
           or
           loss
           shall
           then
           be
           the
           less
           sensible
           (
           for
           gain
           and
           lose
           it
           will
           still
           )
           amounting
           in
           December
           but
           to
           about
           15
           Minutes
           in
           the
           whole
           Month
           ,
           and
           in
           March
           to
           but
           about
           9
           ,
           which
           is
           vastly
           more
           exact
           than
           when
           it
           shall
           happen
           to
           be
           adjusted
           to
           the
           longest
           or
           shortest
           of
           Natural
           daies
           ,
           or
           to
           any
           other
           
           that
           is
           not
           equal
           to
           a
           mean
           or
           middle
           day
           ,
           of
           which
           there
           are
           but
           few
           ,
           which
           in
           the
           Table
           are
           exprest
           by
           the
           Character
           ☉
           Sol.
           
        
         
           But
           to
           this
           exact
           pitch
           of
           motion
           ,
           that
           may
           thus
           correspond
           to
           a
           mean
           day
           (
           the
           greatest
           exactness
           that
           a
           Pendulum
           is
           capable
           of
           being
           brought
           to
           )
           there
           is
           no
           way
           certainly
           to
           adjust
           a
           Clock
           without
           the
           help
           and
           assistance
           of
           a
           Table
           of
           Equations
           ,
           that
           give
           the
           daily
           differences
           between
           a
           mean
           day
           and
           those
           which
           are
           either
           longer
           or
           shorter
           than
           the
           mean
           day
           is
           ;
           which
           Equations
           having
           formerly
           been
           computed
           by
           the
           Worthy
           and
           Ingenious
           Mr.
           
             Christian
             Hugens
             de
             Zulechim
          
           ,
           (
           who
           is
           reported
           to
           be
           the
           first
           that
           ever
           applyed
           the
           Pendulum
           to
           regulate
           the
           motion
           of
           a
           Clock
           )
           and
           not
           long
           since
           Printed
           in
           number
           
           49.
           
           
             Philos
             .
             Trans
          
           .
           I
           have
           made
           bold
           ,
           in
           regard
           of
           its
           exactness
           ,
           to
           transcribe
           in
           it's
           more
           natural
           form
           of
           an
           Equation
           ,
           by
           only
           expressing
           the
           Equations
           themselves
           ,
           without
           adding
           them
           together
           ,
           and
           substracting
           ,
           as
           Mr.
           Hugens
           has
           done
           for
           a
           particular
           use
           ,
           to
           shew
           the
           nature
           of
           a
           Pendulums
           going
           ,
           when
           set
           right
           the
           first
           of
           February
           ,
           and
           let
           go
           the
           whole
           year
           round
           ,
           without
           setting
           afterwards
           .
        
         
           Now
           for
           their
           sakes
           that
           desire
           to
           know
           the
           manner
           of
           Composing
           such
           a
           Table
           themselves
           ,
           that
           thereby
           they
           may
           the
           better
           understand
           the
           nature
           of
           it
           ;
           they
           may
           Note
           ,
           that
           the
           Equations
           are
           to
           be
           found
           out
           ,
           and
           a
           Table
           composed
           in
           the
           manner
           following
           :
           First
           find
           out
           a
           mean
           
             Right
             Ascension
          
           ,
           by
           dividing
           the
           360
           degrees
           of
           the
           Equinox
           
           into
           365
           parts
           ,
           and
           a
           quarter
           ,
           equal
           to
           the
           daies
           of
           a
           year
           ,
           and
           the
           product
           shall
           be
           the
           mean
           
             Right
             Ascension
          
           desired
           ,
           which
           will
           be
           found
           to
           be
           about
           three
           Minutes
           56
           Seconds
           (
           according
           to
           Sir
           
             Jonas
             Moors
          
           account
           of
           it
           in
           his
           Mathematical
           Compendium
           )
           then
           by
           the
           help
           of
           an
           exact
           Ephemerides
           (
           here
           lyes
           the
           difficulty
           )
           let
           the
           natural
           
             Right
             Ascensions
          
           of
           the
           Sun
           be
           computed
           by
           Calculation
           ,
           for
           the
           Meridian
           Position
           of
           the
           Sun
           for
           every
           day
           ,
           to
           Minutes
           and
           Seconds
           ;
           which
           having
           done
           ,
           compare
           the
           daily
           differences
           of
           these
           Natural
           
             Right
             Ascensions
          
           with
           the
           mean
           one
           ,
           by
           still
           substracting
           the
           lesser
           from
           the
           greater
           ;
           and
           what
           remains
           shall
           be
           the
           Equations
           desired
           ;
           still
           noting
           down
           either
           the
           excess
           or
           defect
           ,
           that
           is
           ,
           
           whether
           the
           natural
           be
           more
           than
           the
           mean
           or
           less
           :
           as
           for
           example
           ;
           Suppose
           the
           
             Right
             Ascension
          
           between
           the
           Meridians
           of
           the
           1
           st
           .
           and
           2
           d.
           of
           January
           be
           found
           to
           amount
           to
           4
           Minutes
           ,
           20
           Seconds
           ,
           this
           compared
           with
           the
           mean
           
             Right
             Ascensions
          
           ,
           3
           Minutes
           ,
           56
           Seconds
           ,
           and
           by
           substracting
           the
           lesser
           from
           the
           greater
           ,
           the
           remainder
           will
           be
           found
           to
           be
           24
           Seconds
           ,
           and
           so
           much
           the
           Natural
           
             Right
             Ascension
          
           does
           then
           exceed
           the
           mean
           one
           ;
           this
           24
           Seconds
           is
           the
           Equation
           for
           that
           day
           ,
           it
           being
           from
           noon
           to
           noon
           24
           Seconds
           longer
           than
           a
           mean
           day
           is
           ;
           and
           shews
           you
           ,
           that
           a
           Clock
           when
           well
           adjusted
           to
           a
           mean
           day
           ,
           shall
           then
           gain
           24
           Seconds
           ,
           because
           it
           finishes
           it's
           Diurnal
           Revolutions
           sooner
           by
           24
           Seconds
           than
           the
           day
           it self
           does
           :
           
           on
           the
           contrary
           ,
           when
           the
           
             Right
             Ascensions
          
           of
           Natural
           daies
           are
           less
           than
           the
           mean
           ones
           ,
           as
           they
           are
           about
           the
           middle
           of
           March
           ,
           by
           almost
           20
           Seconds
           ,
           this
           20
           Seconds
           being
           the
           Equations
           belonging
           to
           such
           a
           day
           ,
           shall
           shew
           you
           ,
           that
           upon
           such
           a
           like
           day
           a
           well
           adjusted
           Clock
           shall
           then
           lose
           20
           Seconds
           ;
           for
           the
           mean
           day
           to
           which
           it
           is
           adjusted
           being
           longer
           than
           the
           natural
           one
           by
           20
           Seconds
           ,
           the
           Natural
           Day
           shall
           be
           finished
           sooner
           by
           20
           Seconds
           than
           the
           Clock
           at
           that
           time
           shall
           accomplish
           it
           's
           diurnal
           or
           daily
           Revolutions
           ,
           and
           by
           consequence
           it
           shall
           then
           lose
           20
           Seconds
           .
           The
           Equations
           thus
           found
           for
           every
           particular
           day
           ,
           and
           a
           Table
           composed
           of
           them
           ,
           shall
           resemble
           that
           which
           is
           here
           inserted
           ,
           
           whose
           Use
           we
           now
           come
           to
           shew
           more
           particular
           in
           some
           Cases
           .
        
         
           For
           Explanation
           ,
           take
           notice
           ,
           that
           the
           first
           Column
           contains
           the
           daies
           common
           to
           every
           Month
           ,
           the
           other
           12
           Columns
           that
           belong
           to
           the
           several
           Months
           themselves
           ,
           contain
           those
           Seconds
           of
           time
           that
           all
           natural
           daies
           are
           either
           longer
           or
           shorter
           than
           the
           mean
           day
           .
           Note
           ,
           that
           in
           four
           parts
           of
           the
           Table
           are
           placed
           this
           Character
           ☉
           ,
           which
           denotes
           the
           times
           wherein
           natural
           daies
           having
           before
           been
           longer
           than
           the
           mean
           day
           ,
           do
           then
           begin
           to
           be
           shorter
           ;
           or
           having
           before
           been
           shorter
           ,
           do
           then
           begin
           to
           grow
           more
           long
           :
           Note
           also
           ,
           that
           those
           daies
           upon
           which
           this
           Character
           ☉
           is
           affixed
           ,
           have
           no
           Equation
           ,
           they
           being
           equal
           in
           their
           length
           to
           the
           
           mean
           day
           ;
           as
           for
           the
           words
           inserted
           among
           the
           Columns
           ,
           they
           are
           at
           sight
           to
           inform
           you
           ,
           that
           the
           Equations
           in
           those
           parts
           of
           the
           Table
           are
           either
           more
           or
           else
           less
           than
           the
           mean
           day
           ,
           as
           the
           words
           themselves
           do
           fully
           express
           ;
           they
           also
           note
           ,
           that
           where
           the
           Equations
           are
           more
           ,
           there
           Clocks
           shall
           gain
           each
           day
           so
           much
           as
           the
           Equation
           belonging
           to
           it
           does
           then
           express
           ;
           but
           if
           the
           Equations
           are
           less
           ,
           they
           then
           shall
           lose
           ;
           and
           how
           much
           this
           gain
           or
           loss
           for
           every
           particular
           Months
           time
           shall
           amount
           to
           ,
           is
           by
           continual
           addition
           of
           the
           Equations
           belonging
           to
           each
           day
           summed
           up
           ,
           and
           the
           quantity
           of
           time
           it
           amounts
           to
           ,
           set
           down
           apart
           at
           the
           bottom
           of
           every
           Column
           .
        
         
           Note
           also
           ,
           that
           since
           Clocks
           do
           either
           gain
           or
           lose
           ,
           during
           the
           
           whole
           number
           of
           daies
           included
           between
           those
           daies
           on
           whom
           this
           Character
           ☉
           is
           affixed
           ,
           the
           whole
           quantity
           of
           time
           either
           got
           or
           lost
           does
           amount
           to
           the
           summs
           that
           follow
           ,
           viz.
           Between
           the
           1st
           of
           February
           and
           the
           4th
           of
           May
           ,
           the
           time
           that
           a
           well
           adjusted
           Clock
           shall
           lose
           ,
           amounts
           by
           continual
           adding
           the
           Equations
           together
           ,
           to
           about
           19
           Minutes
           ,
           29
           Seconds
           ;
           between
           this
           4th
           of
           May
           and
           the
           15th
           of
           July
           it
           shall
           gain
           about
           9
           Minutes
           43
           Seconds
           ;
           from
           the
           15th
           of
           July
           to
           the
           23d
           of
           October
           ,
           it
           shall
           lose
           22
           Minutes
           9
           Seconds
           ;
           from
           the
           23d
           of
           October
           to
           the
           last
           of
           January
           ,
           it
           shall
           gain
           31
           Minutes
           55
           Seconds
           :
           All
           this
           is
           to
           be
           understood
           of
           a
           well
           adjusted
           Clock
           ,
           set
           right
           to
           the
           Sun
           at
           the
           beginning
           of
           each
           time
           of
           either
           gaining
           or
           losing
           .
        
         
         
           By
           this
           Table
           ,
           if
           you
           would
           adjust
           a
           Clock
           to
           a
           mean
           time
           ,
           which
           is
           the
           greatest
           exactness
           to
           which
           it's
           possible
           to
           be
           brought
           ,
           do
           thus
           :
           First
           set
           it
           true
           to
           the
           Sun
           ,
           and
           note
           the
           day
           ,
           then
           let
           it's
           motion
           be
           continued
           without
           setting
           a
           new
           ,
           for
           about
           30
           or
           more
           daies
           :
           Observe
           then
           the
           time
           that
           it
           has
           got
           or
           lost
           by
           the
           Sun
           ,
           then
           summ
           up
           the
           whole
           number
           of
           Seconds
           included
           in
           the
           Table
           ,
           between
           those
           two
           daies
           of
           first
           setting
           and
           last
           Observation
           (
           allowing
           60
           Seconds
           to
           a
           Minute
           )
           and
           if
           the
           gain
           or
           loss
           of
           your
           Clock
           be
           equal
           to
           the
           summ
           of
           time
           that
           it
           should
           have
           gained
           or
           lost
           by
           the
           Table
           ,
           then
           is
           it
           well
           adjusted
           ;
           but
           if
           it
           have
           not
           ,
           then
           must
           its
           motion
           be
           reduced
           to
           a
           more
           near
           agreement
           ,
           by
           shortning
           the
           Pendulum
           in
           case
           the
           Clock
           
           have
           gone
           too
           slow
           ,
           or
           letting
           the
           Bob
           down
           longer
           in
           case
           it
           have
           gone
           too
           fast
           :
           Then
           set
           it
           anew
           ,
           and
           try
           it
           for
           about
           30
           daies
           more
           ,
           and
           then
           comparing
           its
           loss
           or
           gain
           with
           the
           summ
           of
           those
           Equations
           contained
           in
           the
           Table
           ,
           as
           before
           you
           did
           ,
           let
           the
           Bob
           be
           again
           rectified
           as
           the
           nature
           of
           it's
           motion
           requires
           ;
           and
           continue
           to
           do
           thus
           ,
           till
           you
           find
           its
           gain
           or
           loss
           exactly
           to
           correspond
           with
           the
           summ
           of
           time
           given
           by
           the
           Equations
           contained
           in
           the
           Table
           ,
           for
           the
           time
           that
           the
           Clock
           has
           gone
           .
        
         
           When
           it
           is
           thus
           well
           adjusted
           to
           a
           mean
           time
           ,
           it
           will
           be
           so
           exact
           ,
           as
           that
           ,
           being
           set
           right
           at
           any
           time
           of
           the
           Year
           ,
           and
           so
           let
           go
           the
           whole
           Year
           about
           ,
           it
           shall
           come
           right
           with
           the
           same
           Dial
           by
           which
           it
           was
           set
           the
           same
           day
           Twelve-month
           ;
           but
           
           ●n
           all
           other
           parts
           of
           the
           Year
           it
           shall
           still
           differ
           from
           the
           same
           Dial.
           For
           Example
           :
           If
           set
           right
           the
           first
           of
           February
           ,
           and
           so
           continued
           in
           Motion
           the
           whole
           Year
           about
           ,
           it
           shall
           continually
           be
           too
           slow
           the
           whole
           Year
           ,
           either
           more
           or
           less
           ,
           till
           the
           same
           day
           on
           which
           it
           was
           set
           :
           The
           reason
           of
           this
           is
           plain
           enough
           ;
           for
           from
           the
           first
           of
           February
           to
           the
           4th
           of
           May
           ,
           it
           shall
           continually
           lose
           to
           the
           quantity
           of
           19
           Minutes
           ,
           29
           Seconds
           ;
           then
           from
           the
           4th
           of
           May
           to
           the
           15th
           of
           July
           ,
           it
           shall
           gain
           ;
           but
           this
           gaining
           amounting
           to
           but
           about
           nine
           Minutes
           ,
           43
           Seconds
           ,
           it
           shall
           still
           be
           too
           slow
           by
           9
           Minutes
           ,
           46
           Seconds
           ;
           because
           its
           gaining
           now
           shall
           not
           be
           so
           much
           as
           it
           lost
           before
           ,
           by
           9
           Minutes
           ,
           43
           Seconds
           :
           Then
           again
           ,
           from
           the
           16th
           of
           July
           it
           shall
           lose
           afresh
           till
           the
           21st
           of
           October
           ;
           which
           second
           loss
           amounting
           
           to
           about
           22
           Minutes
           ,
           9
           Seconds
           ,
           this
           added
           to
           the
           time
           that
           it
           was
           too
           slow
           on
           the
           last
           account
           ,
           shall
           amount
           to
           31
           Minutes
           ,
           55
           Seconds
           ,
           and
           so
           much
           it
           shall
           be
           too
           slow
           on
           the
           21st
           of
           October
           ;
           from
           whence
           it
           shall
           gain
           afresh
           till
           the
           last
           of
           January
           ,
           to
           the
           quantity
           of
           31
           Minutes
           ,
           55
           Seconds
           ;
           which
           being
           equal
           to
           what
           it
           was
           before
           too
           slow
           ,
           shall
           cause
           it
           to
           come
           right
           to
           the
           same
           Dial
           with
           which
           it
           was
           set
           twelve
           Months
           before
           ,
           altho'
           it
           went
           too
           slow
           the
           whole
           Year
           beside
           .
        
         
           Again
           ,
           let
           a
           Clock
           be
           set
           right
           the
           23d
           of
           October
           ,
           it
           shall
           from
           thence
           gain
           time
           till
           the
           last
           of
           January
           ;
           and
           this
           gain
           shall
           amount
           to
           31
           Minutes
           ,
           55
           Seconds
           ;
           then
           from
           the
           first
           of
           February
           to
           the
           4th
           of
           May
           ,
           it
           shall
           lose
           19
           Minutes
           ,
           
           29
           Seconds
           ,
           which
           being
           less
           than
           the
           31
           Minutes
           ,
           55
           Seconds
           ,
           which
           before
           it
           had
           got
           ,
           by
           about
           12
           Minutes
           ,
           26
           Seconds
           ,
           it
           shall
           still
           be
           too
           fast
           by
           12
           Minutes
           26
           Seconds
           :
           Then
           from
           the
           4th
           of
           May
           ,
           to
           the
           15th
           of
           July
           ,
           it
           shall
           gain
           anew
           to
           the
           quantity
           of
           about
           9
           Minutes
           43
           Seconds
           ▪
           which
           added
           to
           the
           time
           it
           was
           too
           fast
           before
           ,
           shall
           amount
           to
           22
           Minutes
           ,
           9
           Seconds
           ,
           and
           so
           much
           it
           shall
           be
           too
           fast
           on
           the
           15th
           of
           July
           ;
           from
           which
           time
           till
           the
           23d
           of
           October
           ,
           it
           shall
           lose
           this
           22
           Minutes
           ,
           9
           Seconds
           ,
           and
           by
           Consequence
           come
           right
           to
           the
           same
           Dial
           with
           which
           it
           was
           set
           twelve
           Months
           before
           .
        
         
           Thus
           shall
           one
           and
           the
           same
           Clock
           ,
           with
           the
           same
           pitch
           of
           Motion
           ,
           go
           alwayes
           too
           slow
           if
           
           set
           at
           one
           time
           of
           the
           Year
           ,
           and
           always
           too
           fast
           if
           set
           at
           another
           time
           ,
           if
           it
           be
           let
           go
           the
           whole
           Year
           about
           .
        
         
           Moreover
           ,
           if
           set
           at
           some
           other
           times
           ,
           and
           then
           continued
           in
           its
           Motion
           for
           a
           Year
           ,
           without
           setting
           anew
           ,
           it
           shall
           both
           gain
           and
           lose
           ,
           be
           sometimes
           too
           fast
           ▪
           and
           sometimes
           too
           slow
           :
           For
           if
           a
           well
           adjusted
           Pendulum
           be
           set
           right
           to
           the
           Sun
           the
           4th
           of
           May
           ,
           by
           the
           15th
           of
           July
           it
           shall
           be
           9
           Minutes
           ,
           43
           Seconds
           too
           fast
           :
           From
           this
           15th
           of
           July
           to
           the
           23d
           of
           October
           ,
           having
           lost
           22
           Minutes
           ,
           9
           Seconds
           ;
           from
           which
           substracting
           the
           9
           Minutes
           ,
           43
           Seconds
           that
           it
           was
           before
           too
           fast
           ,
           there
           remains
           12
           Minutes
           ,
           26
           Seconds
           ;
           and
           so
           much
           it
           shall
           be
           too
           slow
           on
           the
           23d
           of
           October
           ;
           from
           which
           day
           it
           shall
           begin
           to
           
           gain
           ,
           and
           continue
           so
           to
           do
           till
           the
           first
           of
           January
           ,
           by
           which
           time
           the
           Clock
           having
           got
           31
           Minutes
           ,
           55
           Seconds
           ,
           which
           amounting
           to
           about
           19
           Minutes
           ,
           29
           Seconds
           above
           what
           it
           was
           too
           slow
           on
           the
           23d
           of
           October
           ,
           it
           shall
           by
           Consequence
           be
           now
           19
           Minutes
           ,
           29
           Seconds
           too
           fast
           ;
           from
           whence
           to
           the
           4th
           of
           May
           ,
           it
           shall
           lose
           what
           now
           it
           is
           too
           fast
           ,
           and
           so
           come
           right
           to
           the
           same
           Dial
           with
           .
           which
           it
           was
           before
           set
           .
        
         
           Again
           ,
           set
           a
           Clock
           to
           the
           Sun
           the
           15th
           of
           July
           ,
           and
           if
           it
           be
           well
           adjusted
           ,
           it
           shall
           by
           the
           23d
           of
           October
           be
           22
           Minutes
           ,
           9
           Seconds
           too
           slow
           ;
           from
           whence
           to
           the
           last
           of
           January
           ,
           it
           being
           to
           gain
           31
           Minutes
           ,
           55
           Seconds
           ,
           it
           shall
           be
           then
           9
           Minutes
           ,
           46
           Second
           ▪
           too
           fast
           ;
           from
           which
           time
           to
           the
           4th
           of
           May
           ,
           
           it
           losing
           19
           Minutes
           ,
           29
           Seconds
           ,
           it
           shall
           then
           be
           9
           Minutes
           ,
           29
           Seconds
           too
           slow
           ;
           which
           time
           by
           the
           15th
           of
           July
           shall
           again
           be
           got
           ,
           and
           so
           the
           Clock
           shall
           come
           right
           to
           the
           same
           Dial.
           
        
         
           Thus
           ,
           by
           this
           Table
           ,
           are
           these
           great
           Varieties
           discoverable
           in
           the
           Motion
           of
           the
           best
           adjusted
           Pendulum
           ,
           according
           to
           the
           different
           times
           of
           the
           Year
           that
           it
           is
           set
           in
           ;
           that
           the
           same
           Pendulum
           set
           right
           upon
           the
           first
           of
           February
           ,
           shall
           go
           always
           too
           slow
           till
           the
           same
           day
           twelve-month
           ;
           but
           if
           set
           right
           the
           23d
           of
           October
           ,
           it
           shall
           the
           whole
           Year
           round
           be
           still
           too
           fast
           ,
           till
           the
           same
           day
           on
           which
           it
           was
           set
           :
           The
           same
           Clock
           being
           also
           set
           to
           the
           Hour
           on
           the
           4th
           of
           May
           ,
           or
           the
           15th
           of
           July
           ,
           shall
           on
           the
           following
           Year
           
           be
           sometimes
           too
           fast
           ,
           and
           at
           other
           times
           too
           slow
           .
           These
           are
           all
           strange
           and
           unaccountable
           things
           to
           such
           as
           understand
           not
           the
           Nature
           of
           the
           Unequality
           of
           Time
           ,
           from
           whence
           all
           these
           Varieties
           do
           still
           arise
           ,
           and
           are
           scarcely
           to
           be
           demonstrated
           to
           the
           Understanding
           by
           any
           other
           way
           ,
           than
           by
           this
           or
           some
           other
           Table
           of
           the
           
             Aequation
             of
             Time.
          
           
        
         
           Since
           therefore
           there
           is
           a
           necessity
           for
           setting
           Clocks
           a-new
           to
           the
           Sun
           ,
           at
           some
           times
           ,
           that
           they
           may
           be
           kept
           as
           near
           as
           possible
           to
           the
           apparent
           time
           given
           by
           a
           Dial
           ;
           I
           advise
           that
           this
           setting
           may
           be
           ,
           if
           possible
           ,
           the
           first
           day
           of
           every
           Month
           ;
           so
           may
           you
           the
           better
           discern
           by
           the
           Time
           set
           down
           at
           the
           bottom
           of
           every
           Column
           ,
           whether
           your
           Clock
           have
           gone
           right
           to
           the
           
           mean
           time
           ,
           and
           be
           as
           exact
           in
           his
           Motion
           as
           't
           is
           possible
           to
           bring
           him
           to
           :
           For
           if
           it
           be
           exactly
           adjusted
           ,
           it
           will
           then
           either
           gain
           or
           lose
           near
           that
           time
           that
           is
           set
           down
           at
           the
           bottom
           of
           every
           Month
           ,
           those
           Sums
           being
           nothing
           else
           but
           the
           Aequations
           of
           the
           whole
           Month
           added
           together
           into
           one
           Summ
           ,
           as
           before
           I
           directed
           ,
           when
           I
           gave
           you
           the
           Method
           of
           adjusting
           a
           Pendulum
           to
           the
           true
           or
           mean
           time
           :
           But
           in
           case
           you
           cannot
           set
           it
           right
           the
           first
           day
           ,
           then
           must
           you
           be
           at
           a
           little
           trouble
           to
           add
           together
           the
           Aequations
           your self
           ,
           at
           such
           time
           as
           you
           come
           to
           set
           it
           a-new
           ;
           but
           when
           the
           Clock
           is
           well
           adjusted
           ,
           there
           needs
           little
           of
           this
           trouble
           ,
           being
           assured
           that
           it
           's
           brought
           to
           the
           nearest
           pitch
           of
           Motion
           it
           's
           capable
           of
           ;
           and
           that
           when
           it
           is
           at
           any
           time
           found
           to
           differ
           
           from
           the
           Sun
           ,
           it
           must
           be
           lookt
           upon
           as
           the
           natural
           Consequence
           of
           the
           Unequality
           of
           Time
           ,
           and
           not
           any
           Deficiency
           in
           the
           Motion
           of
           the
           Clock
           .
        
         
           I
           speak
           this
           of
           those
           long
           and
           curious
           Pendulums
           that
           vibrate
           within
           the
           Compass
           of
           2
           or
           3
           Inches
           ;
           for
           the
           less
           Compass
           a
           Pendulum
           takes
           ,
           the
           more
           steady
           is
           it's
           Motion
           ,
           not
           being
           so
           subject
           to
           rise
           and
           fall
           ,
           as
           others
           are
           ,
           that
           vibrate
           in
           a
           larger
           Compass
           .
           As
           for
           those
           shorter
           Pendulums
           of
           a
           Foot
           long
           ,
           or
           under
           ,
           although
           they
           may
           go
           very
           steady
           for
           the
           most
           part
           ,
           if
           Frost
           or
           foulness
           hinder
           not
           ,
           yet
           are
           they
           not
           at
           all
           intended
           in
           this
           Discourse
           ,
           their
           Motion
           being
           apt
           to
           an
           Alteration
           in
           some
           Cases
           ;
           for
           a
           short
           Pendulum
           that
           goes
           well
           when
           clean
           ,
           
           shall
           go
           faster
           than
           the
           mean
           time
           when
           foul
           ,
           because
           the
           Pendulum
           is
           by
           the
           foulness
           hindred
           from
           taking
           its
           wonted
           Compass
           :
           The
           same
           effect
           does
           Frost
           produce
           ;
           for
           by
           congealing
           the
           Oyl
           in
           the
           Pevets
           ,
           its
           freedom
           of
           Motion
           is
           interrupted
           ,
           so
           that
           the
           Pendulum
           not
           fetching
           it's
           wonted
           Compass
           ,
           shall
           go
           too
           fast
           ;
           but
           those
           long
           and
           curious
           Pendulums
           of
           40
           Inches
           ,
           that
           fetch
           not
           above
           three
           Inches
           compass
           ,
           they
           are
           so
           exact
           ,
           that
           being
           once
           adjusted
           they
           shall
           alwayes
           keep
           the
           same
           time
           ,
           if
           their
           motion
           continue
           ;
           for
           if
           the
           Pendulum
           should
           fetch
           a
           smaller
           compass
           ,
           their
           Motion
           would
           cease
           ,
           and
           themselves
           stand
           still
           .
        
         
           When
           such
           a
           Pendulum
           as
           this
           is
           well
           adjusted
           ,
           you
           may
           trust
           to
           
           it
           ,
           as
           to
           it's
           correspondence
           in
           Motion
           with
           the
           mean
           time
           ,
           and
           only
           give
           your self
           the
           trouble
           sometimes
           to
           set
           it
           a
           little
           forward
           or
           backward
           ,
           according
           to
           what
           the
           unequality
           of
           Time
           has
           made
           it
           to
           differ
           from
           the
           same
           Dial
           with
           which
           you
           did
           use
           to
           set
           it
           ;
           which
           times
           of
           setting
           may
           be
           ,
           as
           I
           said
           before
           ,
           once
           in
           a
           Month
           ;
           yet
           if
           the
           Table
           be
           well
           noted
           ,
           you
           shall
           find
           ,
           there
           be
           some
           times
           in
           the
           year
           in
           which
           a
           good
           Clock
           may
           go
           a
           longer
           time
           without
           any
           material
           difference
           from
           the
           time
           given
           by
           a
           Dial
           :
           For
           Example
           ,
        
         
           Suppose
           you
           set
           a
           Clock
           right
           to
           the
           Sun
           the
           first
           of
           January
           ,
           this
           Clock
           if
           let
           go
           till
           the
           first
           of
           March
           ,
           shall
           then
           be
           but
           two
           Minutes
           four
           Seconds
           too
           fast
           ;
           for
           though
           it
           gain
           
           in
           January
           six
           Minutes
           ,
           no
           great
           matter
           ,
           yet
           losing
           in
           the
           next
           Month
           about
           four
           Minutes
           ,
           it
           shall
           at
           the
           end
           of
           that
           Month
           be
           but
           two
           Minutes
           to
           fast
           ;
           nay
           ,
           if
           let
           go
           another
           Month
           ,
           as
           to
           the
           last
           of
           March
           is
           ,
           it
           shall
           then
           differ
           but
           about
           seven
           Minutes
           ,
           which
           is
           no
           great
           matter
           .
           Moreover
           ,
           if
           you
           set
           a
           Clock
           the
           first
           of
           May
           ,
           it
           shall
           ,
           if
           let
           go
           till
           June
           ,
           lose
           but
           two
           Minutes
           thirty
           five
           Seconds
           in
           the
           whole
           ,
           though
           it
           shall
           at
           the
           beginning
           of
           May
           be
           about
           five
           Minutes
           to
           slow
           ,
           which
           is
           no
           great
           matter
           ;
           so
           also
           if
           it
           be
           set
           right
           the
           first
           of
           June
           ,
           it
           may
           well
           go
           without
           setting
           till
           the
           first
           of
           September
           ;
           for
           though
           it
           gain
           five
           Minutes
           in
           June
           ,
           yet
           losing
           eight
           Minutes
           in
           August
           ,
           it
           shall
           then
           be
           but
           about
           three
           Minutes
           too
           slow
           in
           this
           three
           
           Months
           time
           ;
           but
           at
           some
           other
           times
           ,
           as
           from
           February
           to
           May
           ,
           if
           a
           Clock
           were
           let
           go
           't
           will
           be
           extreamly
           out
           ,
           losing
           above
           eighteen
           Minutes
           ;
           so
           also
           in
           
             November
             ,
             December
          
           and
           January
           ,
           in
           which
           time
           it
           will
           gain
           above
           thirty
           Minutes
           .
        
         
           By
           the
           Table
           you
           may
           also
           readily
           find
           out
           ,
           what
           difference
           there
           is
           between
           the
           lengths
           of
           any
           two
           daies
           in
           this
           manner
           :
           First
           ,
           If
           the
           daies
           are
           both
           shorter
           ,
           or
           both
           longer
           than
           the
           mean
           day
           ,
           then
           substract
           the
           Equation
           in
           the
           Table
           belonging
           to
           one
           day
           from
           the
           Equation
           of
           the
           other
           ,
           and
           the
           remainder
           shall
           shew
           their
           difference
           in
           length
           .
           But
           if
           the
           daies
           be
           one
           longer
           than
           the
           mean
           ,
           and
           the
           other
           shorter
           ,
           then
           add
           the
           two
           
           Equations
           together
           ,
           and
           the
           summ
           shall
           be
           the
           time
           that
           they
           differ
           in
           length
           :
           Thus
           the
           tenth
           of
           January
           will
           be
           found
           to
           be
           thirteen
           Seconds
           longer
           than
           the
           tenth
           of
           May
           ;
           also
           the
           fifteenth
           of
           September
           will
           be
           found
           to
           be
           fifty
           one
           Seconds
           shorter
           than
           the
           fifteenth
           of
           December
           .
        
         
           Note
           ,
           That
           if
           men
           be
           very
           nice
           in
           keeping
           a
           Clock
           true
           to
           the
           Sun
           ,
           they
           should
           then
           make
           use
           ,
           if
           possible
           ,
           of
           but
           one
           time
           on
           the
           Dial
           that
           they
           set
           it
           with
           ,
           and
           that
           pretty
           near
           noon
           ;
           for
           few
           Dials
           being
           drawn
           exactly
           true
           ,
           great
           mistakes
           may
           arise
           ,
           when
           a
           Clock
           is
           set
           to
           one
           hour
           and
           then
           compared
           with
           another
           ;
           and
           by
           reason
           of
           refractions
           great
           errours
           may
           also
           
           arise
           ;
           for
           the
           Sun
           by
           Refractions
           being
           made
           to
           appear
           higher
           than
           really
           she
           is
           ,
           there
           can
           be
           no
           certain
           account
           taken
           of
           the
           time
           till
           near
           Noon
           ,
           where
           Refractions
           cease
           :
           And
           when
           all
           this
           care
           is
           taken
           ,
           in
           regard
           it
           is
           so
           very
           hard
           to
           distinguish
           Minutes
           by
           the
           shadow
           of
           a
           Dial
           ,
           you
           will
           be
           much
           more
           exact
           if
           you
           do
           thus
           :
           Let
           two
           plain
           and
           flat
           plates
           or
           boards
           ,
           about
           ten
           Inches
           square
           ,
           be
           joyned
           so
           close
           together
           that
           a
           Six-pence
           may
           but
           just
           go
           between
           ;
           let
           them
           be
           fixed
           so
           ,
           that
           this
           Cranney
           between
           them
           may
           respect
           the
           true
           South
           ;
           this
           will
           give
           you
           the
           time
           to
           less
           than
           half
           a
           Minute
           ,
           by
           observing
           the
           first
           moment
           that
           the
           Suns
           beam
           is
           darted
           through
           it
           ,
           and
           cast
           upon
           some
           dark
           body
           that
           is
           plac●d
           on
           the
           
           North-part
           to
           receive
           the
           light
           ;
           so
           that
           having
           thus
           the
           exact
           time
           ,
           when
           the
           Sun
           comes
           to
           every
           Meridian
           ,
           it
           will
           be
           found
           a
           much
           better
           way
           to
           adjust
           Clocks
           by
           such
           a
           device
           as
           this
           ,
           than
           by
           the
           truest
           Dial.
           
        
         
           One
           use
           more
           ,
           and
           that
           a
           Principal
           one
           ,
           I
           shall
           add
           ,
           that
           is
           this
           :
           When
           a
           Clock
           is
           once
           well
           adjusted
           to
           the
           mean
           or
           equal
           day
           ,
           you
           may
           then
           by
           this
           Table
           keep
           it
           right
           to
           the
           time
           given
           by
           the
           Sun
           ,
           although
           you
           never
           set
           it
           right
           to
           a
           Dial
           ,
           nor
           see
           the
           Sun
           above
           once
           a
           Year
           ;
           to
           perform
           this
           do
           thus
           :
           set
           your
           Clock
           right
           to
           the
           Sun
           the
           first
           day
           of
           any
           one
           Month
           ,
           and
           then
           the
           Table
           still
           giving
           you
           the
           time
           it
           should
           lose
           
           or
           gain
           in
           that
           whole
           Months
           ●ime
           ,
           't
           is
           then
           but
           setting
           it
           forward
           or
           backward
           the
           first
           day
           of
           the
           next
           Month
           what
           it
           either
           hath
           got
           or
           lost
           in
           the
           Month
           immediately
           preceding
           ,
           and
           it
           will
           then
           be
           right
           with
           the
           Sun
           as
           if
           it
           had
           been
           set
           by
           a
           Dial
           ,
           and
           so
           from
           Month
           to
           Month
           you
           may
           (
           by
           still
           setting
           it
           either
           forward
           or
           backward
           according
           to
           what
           the
           Table
           tells
           you
           it
           will
           gain
           or
           lose
           )
           keep
           it
           true
           to
           the
           time
           given
           by
           the
           Sun
           ,
           though
           it
           should
           never
           shine
           so
           as
           to
           give
           you
           an
           opportunity
           to
           set
           it
           by
           a
           Dial
           above
           once
           in
           the
           whole
           Year
           ;
           but
           be
           sure
           your
           Clock
           be
           first
           well
           adjusted
           ,
           or
           else
           there
           may
           be
           some
           errour
           :
           Note
           ,
           that
           for
           this
           purpose
           it
           will
           be
           very
           convenient
           to
           
           Paste
           the
           Table
           it self
           on
           a
           board
           ,
           and
           then
           putting
           it
           into
           a
           handsom
           Frame
           ,
           let
           it
           be
           hung
           up
           near
           the
           Clock
           ,
           that
           you
           may
           have
           ready
           recourse
           to
           it
           on
           all
           occasions
           ,
           especially
           for
           this
           in
           particular
           ;
           for
           without
           the
           assistance
           of
           such
           a
           Table
           as
           this
           ,
           I
           know
           no
           way
           in
           the
           World
           to
           keep
           a
           Clock
           right
           to
           the
           apparent
           time
           ,
           in
           case
           Clouds
           should
           intercept
           the
           Beams
           of
           the
           Sun
           for
           any
           long
           time
           together
           .
        
         
           FINIS
           .
        
      
    
     
       
         
         
           BOOKS
           Sold
           by
           Joseph
           Watts
           ,
           at
           the
           Half-moon
           in
           St.
           Paul's
           Church-yard
           .
        
         
           
           JOsephus's
           Wars
           of
           the
           
             Jews
             .
             Fol.
          
           The
           Tryals
           of
           
             Thomas
             Walcot
             ,
             William
             Hone
             ,
             William
          
           Lord
           
             Russel
             ,
             John
             Rouse
          
           ,
           and
           
             William
             Blagg
          
           .
        
         
           The
           Confession
           ,
           Prayers
           and
           Meditations
           of
           
             John
             Stern
          
           ,
           published
           by
           Doctor
           Burnet
           and
           Doctor
           Horneck
           .
        
         
           The
           Earl
           of
           
           Danby's
           Case
           ,
           and
           Answer
           to
           Sir
           
             Robert
             Howard
          
           ,
           and
           his
           Answer
           to
           the
           Examination
           of
           his
           Case
           ,
           and
           Reply
           .
        
         
           The
           Bishops
           of
           England
           may
           ,
           and
           ought
           to
           vote
           in
           Cases
           of
           Blood.
           
        
         
           Baxter
           against
           Baxter
           .
        
         
           A
           serious
           Expostulation
           with
           the
           Whiggs
           in
           Scotland
           .
        
         
           Dr.
           
           Jane's
           Sermon
           before
           the
           Commons
           ,
           April
           11.
           1679.
           
        
         
           Dr.
           Perinchief
           against
           Toleration
           .
        
         
         
           
           Fowler
           's
           Catechism
           of
           the
           
             Church
             of
             England
          
           poetically
           paraphrased
           .
        
         
           
           Cave's
           Sermon
           on
           the
           30
           th
           of
           January
           .
        
         
           
           James's
           Visitation
           Sermon
           ,
           and
           on
           the
           24
           th
           of
           December
           ,
           1682.
           
        
         
           A
           Disquisition
           upon
           our
           Saviours
           Sanction
           of
           Tythes
           ,
           
             Mat.
             23.
             23.
             
             Luk.
          
           11.
           42.
           
        
         
           
           Stubbs's
           Justification
           of
           the
           
             Dutch
             War
          
           ,
           In
           two
           parts
           ,
           with
           Figures
           .
        
         
      
    
  

