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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         Early English books online.
      
       
         (EEBO-TCP ; phase 1, no. A45349)
         Transcribed from: (Early English Books Online ; image set 107300)
         Images scanned from microfilm: (Early English books, 1641-1700 ; 1635:8)
      
       
         
           
             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.
        
      
    
     
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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
           .