A plain declaration of the vulgar new heavens flatform serving not onely fore this age, but also fore the future age of 100 years.
Halley, Edmond, 1656-1742.
1679
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A45349
Wing H452
ESTC R39228
18283100
ocm 18283100
107300
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A plain declaration of the vulgar new heavens flatform serving not onely fore this age, but also fore the future age of 100 years.
Halley, Edmond, 1656-1742.
4 p.
s.n.,
[London? :
1679]
Attributed by Wing to Halley.
Date of publication suggested by Wing.
Reproduction of original in the British Library.
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eng
Astronomy -- Observations -- Early works to 1800.
Sun -- Observations -- Early works to 1800.
Dialing -- Early works to 1800.
2008-04 TCP
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A
plain
DECLARATION
of
the
vulgar
new
HEAVENS
FLATFORM
.
Serving
not
onely
fore
this
Age
,
but
also
fore
the
future
Age
of
100
years
.
HEre
you
are
at
first
to
knowe
,
that
the
motion
of
the
Sun
and
the
time
do
alwayes
concur
,
and
therefore
is
the
one
the
measure
of
the
other
.
Fore
by
the
Time
is
to
be
knowne
the
place
of
the
Sun
,
and
again
by
the
Suns
place
you
may
knowe
the
Time
:
therefore
you
must
either
knowe
the
Time
or
the
place
of
the
Sun
,
both
of
them
you
may
easily
find
in
the
Heavens-Flatform
,
do
but
lay
the
dial
A
or
B
on
the
desired
day
of
the
yeare
and
see
then
what
degree
the
dial
doth
touch
upon
the
Sodiack
,
and
you
wil
find
the
thing
desired
.
I.
EXEMPLE
.
How
to
knowe
at
anny
time
of
the
yeare
in
what
Degree
of
the
Sodiack
the
Sun
is
.
●y
Exemple
on
the
first
day
of
May
,
lay
the
dial
A
upon
the
suid
day
,
and
see
what
degree
the
dial
doth
cut
upon
the
Sodiack
,
you
wil
finde
it
to
be
the
12th
of
Taurus
being
the
place
of
the
Sun.
II.
EXEMPLE
.
How
at
anny
time
to
knowe
the
rising
and
going
under
of
the
Sun.
Suppose
it
be
the
24th
.
of
May
,
then
you
must
lay
the
dial
on
the
said
day
,
and
see
where
it
cuts
the
Sodiac
,
there
you
must
make
upon
the
dial
a
signe
of
chalck
or
anny
thing
else
that
may
easily
be
rubbed
out
,
which
signe
demonstrates
the
Sun
,
turn
then
the
dial
first
so
long
to
the
East-side
of
Heaven
,
til
the
said
signe
comes
to
touch
the
crombe
Horizon
,
see
then
without
upon
what
houre
and
minute
the
dial
doth
lye
on
the
houre
cirkle
,
you
wil
find
the
Suns
rising
at
4
a
clock
in
the
morning
,
and
if
you
turn
the
said
point
to
the
West-side
of
Heaven
upon
the
Horizon
,
then
you
wil
see
the
dial
to
lye
upon
8
a
clock
in
the
evening
,
being
the
going
under
of
the
Sun
,
then
you
wil
also
see
that
the
Sun
riseth
then
36
degr
.
30
minut
.
from
the
East
to
the
Northward
,
and
by
consequence
so
manny
Degrees
and
min.
lesse
from
the
West
to
the
Northward
.
III.
EXEMPLE
.
Hou
you
may
see
in
the
Night
by
the
Starrs
what
time
it
is
,
Suppose
you
doe
but
see
anny
acquainted
Starre
to
rise
or
stand
in
the
S.
N.
E.
or
Westward
,
let
it
be
the
three
Kings
arising
the
first
day
of
October
,
in
the
night
,
and
that
by
it
you
would
knove
how
late
it
is
;
then
you
must
lay
the
dial
A
on
the
said
day
,
and
the
dial
B
over
the
3
Kings
,
and
give
then
a
signe
upon
the
dial
B
over
the
3
Kings
,
then
you
must
firmly
turn
both
dials
alike
to
the
Eastward
,
til
the
said
signe
upon
the
dial
B
doth
cut
or
touch
the
Horizon
,
and
see
then
upon
what
houre
and
minute
the
dial
A
lieth
,
you
'l
find
it
to
be
11
a
clock
in
the
evening
,
beingh
the
right
time
of
the
night
.
I.
PROBLEME
.
How
you
may
upon
every
Poles
higth
find
the
riseing
and
going
under
of
the
Heavens
lights
after
you
have
taken
the
Poles
higth
,
and
the
declination
or
anny
aquainted
Starres
.
You
must
place
one
foot
of
the
Compassis
in
the
Centrum
of
the
Heavens-Mirrour
,
upon
the
Dial
A
,
and
the
other
downewards
,
as
far
as
the
Degree
of
the
Declination
of
the
Sun
or
Starres
;
with
this
opening
of
the
Compassis
you
must
place
the
one
foot
upon
the
edge-side
of
the
dial
A
upon
the
complement
of
the
Poles
higth
which
you
have
taken
;
and
slide
the
dial
A
towards
6
a
clock
,
(
or
to
the
dial
B
which
may
be
laid
along
by
6
a
clock
(
or
the
edge-side
of
the
dial
B.
)
See
then
how
in
anny
degrees
the
dial
A
lieth
upon
the
houre-circkle
from
6
a
clock
,
which
wil
be
the
true
breadth
of
the
rising
and
going
under
of
the
Sun
or
Starres
.
I.
EXEMPLE
.
Desiring
to
knowe
on
the
21th
.
of
June
,
where
the
Sun
riseth
and
goeth
under
,
being
beginning
of
Cancer
,
on
the
Poles
heigth
of
52
degrees
.
Then
you
must
place
one
foot
of
the
Compassis
in
the
Centrum
of
the
dial
A
,
and
the
other
downewards
as
far
as
on
23
degr
.
30
min.
being
then
the
Declination
of
the
Sun
;
with
this
opening
of
the
Compassis
you
must
place
one
foot
on
the
edge-side
of
the
dial
A
upon
the
Complement
of
the
Poles
heigth
,
being
38
degr
.
then
you
must
turn
the
dial
A
towards
6
a
clock
,
til
the
other
foot
of
the
Compassis
comes
triangularly
to
touch
the
lin
.
of
6
a
clock
.
See
then
how
manny
degrees
the
dial
A
lieth
off
from
6
a
clock
.
You
'l
find
it
to
be
very
neare
40
degr
.
20
min.
And
so
far
doth
the
Sun
then
rise
from
the
E.
to
the
N.
upon
each
Northern
breadth
of
52
degr
.
and
goeth
likewise
40
degr
.
20
min.
under
from
the
W.
to
the
Northward
.
And
if
the
Sun
be
in
the
first
degr
.
of
Capricornus
,
then
it
is
just
the
same
.
II.
EXEMPLE
.
Desiring
to
know
on
the
Northern
breadth
of
50
degr
.
how
manny
degrees
the
Southern
Ey
of
the
Bul
called
●●debaran
riseth
from
the
E.
to
the
N.
Fore
the
doing
of
it
,
you
must
place
one
foot
of
the
Compassis
in
the
Centrum
,
〈◊〉
the
dial
A
,
and
the
other
as
far
as
the
Declination
of
Aldebaran
being
16
degrees
,
with
this
opening
of
the
Compassis
you
must
place
one
foot
upon
the
complement
of
the
Poles
heigth
of
40
degrees
,
on
the
dial
A
,
then
you
mus●
turn
the
said
dial
til
the
other
foot
of
the
Compassis
comes
triangularly
to
touch
te
line
of
6
a
clock
.
See
then
how
manny
degrees
the
dial
A
lieth
off
from
6
a
clock
,
you
'l
find
verry
neare
25
deg
.
20.
min.
And
so
manny
d●g
.
doth
Aldebaran
then
rise
from
the
E.
to
the
N.
it
doth
also
go
under
25
deg
.
20
min.
lesse
from
the
W.
to
the
N.
III.
EXEMPLE
.
Desiring
to
knowe
on
the
Southern
breadth
of
20
degr
.
how
many
degrees
the
Spica
Virginis
riseth
from
the
E.
〈◊〉
the
S.
and
that
,
because
the
declination
of
Spica
Virginis
is
Sourhly
.
You
must
place
one
foot
of
the
Compassis
in
the
Center
of
the
Dial
A
,
and
the
other
downewards
as
far
as
on
9
degr
.
being
the
declination
of
Spica
Virginis
,
with
this
opening
you
must
place
one
foot
of
the
Dial
A
upon
the
complement
of
the
Poles
higth
of
70
degrees
,
then
you
must
turn
the
Dial
A
from
the
E.
to
the
S.
till
the
other
foot
of
the
compassis
comes
triangularly
to
touch
the
East
line
or
the
line
of
6
a
clock
.
See
then
how
manny
degr
.
the
Dial
A
lieth
off
from
6
a
clock
,
you
find
verry
neare
10
degr
.
and
so
far
doth
S.
Virginis
from
the
E.
to
the
S.
and
goeth
like
wise
so
far
unter
from
the
W.
to
the
S.
II.
PROBLEME
.
How
to
find
the
rising
and
going
under
of
the
Sun
,
or
of
anny
acquainted
Starrs
,
and
that
upon
every
Poles
higth
.
Place
one
foot
of
the
Compassis
in
the
center
of
the
dial
B
,
and
the
other
downeward
,
along
by
the
Edge-side
as
far
as
on
the
degree
of
the
Declination
of
the
Sun
or
Starrs
,
with
this
opening
of
the
Compassis
you
must
place
one
foot
on
the
edge-side
of
the
dial
B
upon
the
Complement
of
the
Poles
heigth
,
add
slide
the
Dial
B
from
the
E.
to
the
N.
or
S.
til
the
other
foot
comes
triangularly
to
touch
the
line
of
6
a
clock
.
Then
you
must
see
o●
what
houre
and
min.
the
dial
B
lieth
,
which
is
the
true
time
of
the
Suns
rising
,
which
you
may
also
being
to
the
going
under
.
I.
EXEMPLE
.
Desiring
to
knowe
the
rising
of
the
Sun
,
on
the
N.
breadth
of
25
degr
.
being
the
21th
.
of
June
,
when
the
Suns
Declination
is
Northly
23
degr
.
32
min.
you
must
place
one
foot
of
the
Compassis
in
the
Centrum
of
the
dial
B
,
and
open
the
other
foot
douwnewards
as
far
as
on
23
degr
.
32
min.
with
this
opening
of
the
Compassis
you
must
place
one
foot
on
the
edge-side
of
the
dial
B
upon
the
Complement
of
the
Poles
hitgh
of
38
degrees
,
sliding
the
dial
B
from
the
E.
to
the
N.
til
the
other
foot
of
the
Compassis
comes
triangulary
to
touch
the
line
of
6
a
clock
.
See
then
upon
what
houre
and
min.
the
dial
B
lieth
on
the
houre
circkle
,
you
'l
find
it
to
be
in
the
morning
at
5
a
clock
15
min.
being
the
right
ti●●
of
the
Suns
rising
,
the
same
is
in
the
evening
at
8
a
clock
15
min.
the
Suns
going
under
.
II.
EXEMPLE
.
Desiring
to
knowe
on
the
Southern
breadth
of
40
degr
.
being
on
the
21
of
June
,
at
what
time
the
Sun
doth
there
rise
.
Then
you
must
place
one
foot
of
the
Compassis
in
the
Centrum
of
the
dial
B
,
and
the
other
foot
downewards
,
as
far
as
on
23
deg
.
30
min.
being
at
the
said
time
the
Declination
of
the
Sun
,
with
this
opening
you
must
place
one
foot
of
the
Compassis
on
the
dial
B
upon
the
complement
of
the
Poles
higth
of
50
degr
.
and
turn
the
dial
B
from
the
E.
to
the
N.
til
the
other
foot
of
the
Compassis
comes
triangularly
to
touch
the
East
line
of
6
a
clock
,
see
then
upon
what
houre
and
min.
the
dial
B
lieth
,
you
'l
find
neare
enough
in
the
morning
17
houres
30
min.
being
there
the
rising
of
the
Sun
,
the
same
is
its
going
under
in
the
evening
at
4
a
clock
35
min.
Nota.
You
must
knowe
that
if
you
wil
,
use
the
Heavens
Flatform
over
the
South-side
of
the
Equinoctial
Line
,
then
you
must
take
the
house
contrary
to
that
as
they
are
signed
upon
the
Heavens
Mirrour
,
fore
that
which
is
over
the
North-line
4
a
clock
in
the
morning
,
the
same
is
Southly
from
the
line
8
a
clock
in
the
morning
,
and
so
is
the
rest
accordingly
.
III.
EXEMPLE
.
Desiring
to
knowe
on
the
Northern
breadth
of
40
degrees
,
being
the
first
of
August
,
what
time
the
great
Dog
Syrius
shal
rise
.
Lay
the
Dial
B
over
Syrius
and
the
Dial
A
upon
the
first
of
August
,
then
you
must
place
one
foot
of
the
compassis
upon
the
Center
of
the
Dial
B
,
and
open
the
other
as
far
as
on
16
degr
.
15
min.
being
the
declination
of
Syrius
,
with
this
opening
you
must
place
one
foot
the
compassis
on
the
Dial
B
,
upon
the
complement
of
the
Poles
higth
of
degrees
.
Then
you
must
firmly
turn
both
Dials
alike
from
the
E.
to
the
S.
,
till
the
other
foot
of
the
compassis
comes
triangularly
to
touch
the
East
line
of
6
a
clock
.
See
then
upon
what
houre
and
minutes
the
Dial
lieth
,
you
'l
find
neare
enough
4
a
clock
42
minutes
.
Fore
to
find
its
going
under
,
you
must
firmly
turn
both
dials
alike
from
the
West
to
the
Southward
til
the
other
foot
of
the
compassis
comes
triangularly
to
touch
the
West
line
of
6
a
clock
,
see
then
upon
what
houre
and
min.
the
Dial
A
lieth
,
you
'l
find
2
a
clock
48
minutes
.
III
PROBLEME
.
How
to
find
at
al
set
times
the
Declination
of
the
Sun
upon
the
Heavens
mirrorr
.
Which
is
indeed
verry
proffitable
for
al
Sea
men
,
fore
it
serves
not
onely
fore
this
present
Age
,
but
also
fore
the
future
Age
of
100
years
;
when
al
Books
that
are
made
fore
that
purposse
shal
be
of
no
worth
.
Fore
to
find
the
Declination
of
the
Sun
upon
the
Heavens-Mirrour
,
you
must
knowe
that
the
Suns
place
is
there
set
according
to
the
two
Jears
,
before
and
after
the
Leape-yeare
,
and
that
especially
upon
the
future
Age
,
which
doth
almost
differ
a
whole
degree
in
the
Sodiack
with
this
present
Age
to
the
yeare
1700
,
and
in
the
Suns
Declination
in
March
and
September
about
24
minutes
.
So
that
al
Tables
of
the
Suns
Declination
which
are
reckened
out
with
such
a
difficult
calculation
,
shal
after
the
yeare
of
1700
be
of
no
use
or
worth
to
a●ny
Seaman
;
because
the
yeare
of
1700
must
be
a
common
yeare
.
Desiring
then
to
knowe
the
Declination
of
the
●un
upon
some
certain
or
set
day
in
this
present
Age
,
then
you
must
alwayes
lay
the
dial
A
one
daye
farther
then
the
set
day
,
and
in
the
second
yeare
after
the
Leap-yeare
you
must
lay
the
dial
upon
the
midst
of
the
day
,
but
being
the
third
yeare
after
the
Leape-yeare
,
then
you
must
lay
the
dial
A
on
the
first
fourth
part
,
being
in
the
Sodiack
about
15
min.
backward
.
But
being
the
first
yeare
after
the
Leap-yeare
,
then
you
must
lay
the
dial
upon
the
third
fourth
part
of
the
day
,
being
verry
neare
20
min.
farther
in
the
Sodiack
,
then
in
the
third
yeare
.
And
when
it
is
a
Leap-yeare
,
then
you
must
lay
the
dial
A
upon
the
beginning
of
the
day
,
til
to
the
28
of
February
;
but
being
after
the
28
of
February
,
then
you
must
al
the
yeare
along
lay
the
dial
A
upon
the
end
of
the
day
.
And
if
you
do
truely
understand
and
perform
this
,
then
you
wil
at
al
times
knowe
the
Declination
of
the
Sun
so
perfect
and
exactly
,
as
the
Navigation
requires
.
This
is
the
Head
thing
I
have
to
say
of
my
Heavens-Mirrour
.
I.
EXEMPLE
.
Desiring
to
knowe
the
Suns
Declination
on
the
30th
.
day
of
April
1691
or
95
being
the
third
yeare
after
the
Leap-yeare
,
then
you
must
lay
the
dial
A
upon
the
first
of
May
,
to
wit
upon
the
fourth
part
of
the
parck
of
that
day
.
See
then
where
the
Dial
dath
cut
or
touch
the
Sodiack
,
you
find
it
to
be
verry
neare
the
10th
.
degr
.
15
min.
(
being
at
the
●ame
time
the
true
place
of
the
Sun
)
that
is
40
degr
.
15
min.
of
♈
.
Farther
you
must
lay
the
Dial
A
over
the
40
degr
.
15
min.
off
from
♈
.
,
in
the
degrees
of
the
Equinoctial
or
houre
cirkle
,
then
you
must
place
one
foot
of
the
Compassis
on
the
dial
A
upon
the
greatest
Declination
of
the
Sun
,
being
23
degrees
32
min.
then
you
must
open
the
other
foot
of
the
Compassis
towards
the
Line
of
6
a
clock
,
to
come
triangularly
with
this
opening
of
the
compassis
.
Then
you
must
place
one
foot
of
it
in
the
Center
of
the
Dial
A
,
and
turn
the
other
downewards
,
and
see
where
it
falls
,
you
find
it
to
be
verry
neare
14
degrees
55
minutes
,
being
at
the
said
time
the
Suns
Declination
.
II.
EXEMPLE
.
Desiring
to
knowe
the
Suns
Declination
on
the
30th
.
of
April
1688
or
92.
being
the
first
yeare
after
the
Leap-yeare
.
Then
you
must
lay
the
dial
A
on
the
first
of
May
,
upon
the
utmost
of
the
days
parck
,
see
then
where
the
dial
A
doth
cut
the
Sodiack
,
you
find
it
to
be
verry
neare
the
eleventh
degree
of
Taurus
,
being
the
true
place
of
the
set
time
,
that
is
41
degrees
of
♈
.
Then
you
must
further
lay
the
dial
A
on
41
degrees
of
♈
.
as
before
,
and
place
one
foot
of
the
Compassis
on
the
dial
A
upon
the
greatest
Declination
of
the
Sun
,
being
23
degr
.
32
min.
then
you
must
open
the
other
foot
of
the
Compassis
,
til
it
comes
rect-angularly
to
touch
the
Line
of
6
a
clock
,
with
this
opening
of
the
Compassis
,
you
must
place
one
foot
of
it
in
the
Center
of
the
dial
A
,
and
the
other
you
must
turn
downewards
,
seeing
upon
what
degree
and
minute
it
falls
,
you
'l
find
it
to
be
verry
neare
15
degr
.
and
10
min.
being
at
the
set
time
the
true
Declination
of
the
Sun
,
differing
litle
or
nothing
with
the
wise
and
artificial
calculation
,
do
so
at
al
other
times
,
til
to
the
yeare
of
1700
,
but
after
that
time
you
must
lay
the
dial
upon
the
set
day
,
considering
that
this
use
is
principally
(
as
I
told
you
)
practised
and
formed
upon
the
future
Age
,
where
upon
we
shal
also
give
some
exemples
,
which
also
wil
serve
fore
the
better
understanding
of
the
former
.
III.
EXEMPLE
.
Desiring
to
knowe
the
Suns
declination
on
the
30th
day
of
April
1706.
being
the
second
yeare
after
the
Leape-yeare
.
Then
you
must
at
the
same
time
lay
the
Dial
upon
the
midle
of
the
parck
of
the
said
day
,
and
see
where
the
Dial
A
doth
toutch
the
Sodiack
,
you
'l
find
it
to
be
verry
neare
the
9th
degree
and
30th
minute
of
Taurus
,
being
at
the
said
time
the
true-place
of
the
Sun
,
differing
almost
a
whole
degree
with
the
Yeare
of
1686
,
fore
the
Sun
is
39
degr
.
30
minut
.
of
♈
Then
you
must
further
place
the
Dial
A
on
39
degrees
30
minutes
of
♈
.
upon
the
Dial
,
in
the
same
manner
as
I
told
you
before
,
and
then
you
must
place
one
foot
of
the
Compassis
on
the
Dial
A
upon
the
greatest
declination
of
the
Sun
,
being
23
degrees
32
min.
,
then
you
must
open
the
other
foot
of
the
Compassis
,
till
it
comes
triangularly
to
toutch
the
Line
of
6
a
clock
:
with
this
opening
you
must
place
one
foot
of
Compassis
in
the
Centrum
of
the
Dial
A
,
and
the
other
downewards
,
see
then
on
what
degre
and
minute
the
foot
stands
,
you
'l
find
it
to
be
verry
neare
14
degrees
42
minutes
,
which
is
on
the
said
30
day
of
April
about
noon
,
the
declination
of
the
Sun
,
differing
also
in
the
Suns
declination
with
the
Yeare
of
1686
almost
18
min.
So
that
by
this
exemple
you
may
see
that
al
Boocks
and
Tables
●●●●●ning
this
matter
which
are
formerly
made
,
wil
altogether
be
in
vain
,
and
of
no
vallue
,
as
soon
as
ever
the
Yeare
of
1700
begins
.
IV.
EXEMPLE
.
Desiring
to
knowe
the
Suns
Declination
in
the
yeare
of
1710.
whe
the
Sun
is
in
the
18th
.
degr
.
of
♌
.
Then
you
must
lay
the
dial
A
upon
the
18
degr
.
you
'l
also
see
that
the
dial
doth
then
lie
on
the
eleventh
day
of
August
,
about
on
the
third
fourth
part
of
the
parck
of
that
day
,
being
in
the
evening
about
6
a
clock
.
Then
you
must
further
lay
the
dial
A
upon
the
42th
.
degree
,
from
♎
.
to
Cancer
upon
the
houre
circkle
,
being
on
the
18th
.
degree
of
♌
,
then
you
must
place
one
foot
of
the
Compassis
on
the
dial
A
upon
23
degr
.
32
min.
as
before
,
en
then
you
must
open
the
other
foot
,
rectangularly
unto
the
Line
of
6
a
clock
,
with
this
opening
you
must
place
one
foot
of
the
Compassis
in
the
Centrum
of
the
dial
A
,
and
then
you
must
turn
the
other
foot
downewards
,
and
see
on
what
degree
and
minute
it
falls
,
you
'l
find
it
to
be
verry
neare
15
degr
.
30
min.
being
at
the
said
time
the
Declination
of
the
Sun.
FINIS
.