Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/428.jpg" pagenum="400"/>
                    <arrow.to.target n="note429"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note428"/>
                  LIBER
                    <lb/>
                  TERTIUS.</s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note429"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="main">
                  <s>Quoniam Figura orbis Lunaris ignoratur, hujus vice aſſuma­
                    <lb/>
                  mus Ellipſin
                    <emph type="italics"/>
                  DBCA,
                    <emph.end type="italics"/>
                  in cujus centro
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  Terra collocetur, & cu­
                    <lb/>
                  jus axis major
                    <emph type="italics"/>
                  DC
                    <emph.end type="italics"/>
                  Quadraturis, minor
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  Syzygiis interja­
                    <lb/>
                  ceat. </s>
                  <s>Cum autem planum Ellipſeos hujus motu angulari circa
                    <lb/>
                  Terram revolvatur, & Trajectoria cujus curvaturam conſideramus,
                    <lb/>
                  deſcribi debet in plano quod omni motu angulari omnino deſti­
                    <lb/>
                  tuitur: conſideranda erit Figura, quam Luna in Ellipſi illa revol­
                    <lb/>
                  vendo deſcribit in hoc plano, hoc eſt Figura
                    <emph type="italics"/>
                  Cpa,
                    <emph.end type="italics"/>
                  cujus puncta
                    <lb/>
                  ſingula
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  inveniuntur capiendo punctum quodvis
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  in Ellipſi,
                    <lb/>
                  quod locum Lunæ repreſentet, & ducendo
                    <emph type="italics"/>
                  Tp
                    <emph.end type="italics"/>
                  æqualem
                    <emph type="italics"/>
                  TP,
                    <emph.end type="italics"/>
                  ea
                    <lb/>
                  lege ut angulus
                    <emph type="italics"/>
                  PTp
                    <emph.end type="italics"/>
                  æqualis ſit motui apparenti Solis a tem­
                    <lb/>
                  pore Quadraturæ
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  confecto; vel (quod eodem fere recidit) ut
                    <lb/>
                  angulus
                    <emph type="italics"/>
                  CTp
                    <emph.end type="italics"/>
                  ſit ad angulum
                    <lb/>
                    <figure id="id.039.01.428.1.jpg" xlink:href="039/01/428/1.jpg" number="209"/>
                    <lb/>
                    <emph type="italics"/>
                  CTP
                    <emph.end type="italics"/>
                  ut tempus revolutio­
                    <lb/>
                  nis Synodicæ Lunaris ad tem­
                    <lb/>
                  pus revolutionis Periodicæ
                    <lb/>
                  ſeu 29
                    <emph type="sup"/>
                  d.
                    <emph.end type="sup"/>
                  12
                    <emph type="sup"/>
                  h.
                    <emph.end type="sup"/>
                  44′, ad 27
                    <emph type="sup"/>
                  d.
                    <emph.end type="sup"/>
                  7
                    <emph type="sup"/>
                  h.
                    <emph.end type="sup"/>
                  43′. </s>
                  <s>
                    <lb/>
                  Capiatur igitur angulus
                    <emph type="italics"/>
                  CTa
                    <emph.end type="italics"/>
                    <lb/>
                  in eadem ratione ad angu­
                    <lb/>
                  lum rectum
                    <emph type="italics"/>
                  CTA,
                    <emph.end type="italics"/>
                  & ſit
                    <lb/>
                  longitudo
                    <emph type="italics"/>
                  Ta
                    <emph.end type="italics"/>
                  æqualis lon­
                    <lb/>
                  gitudini
                    <emph type="italics"/>
                  TA
                    <emph.end type="italics"/>
                  ; & erit
                    <emph type="italics"/>
                  a
                    <emph.end type="italics"/>
                    <lb/>
                  Apſis ima &
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  Apſis ſum­
                    <lb/>
                  ma Orbis hujus
                    <emph type="italics"/>
                  Cpa.
                    <emph.end type="italics"/>
                  Ra­
                    <lb/>
                  tiones autem ineundo inve­
                    <lb/>
                  nio quod differentia inter
                    <lb/>
                  curvaturam Orbis
                    <emph type="italics"/>
                  Cpa
                    <emph.end type="italics"/>
                  in
                    <lb/>
                  vertice
                    <emph type="italics"/>
                  a,
                    <emph.end type="italics"/>
                  & curvaturam Cir­
                    <lb/>
                  culi centro
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  intervallo
                    <emph type="italics"/>
                  TA
                    <emph.end type="italics"/>
                    <lb/>
                  deſcripti, ſit ad differentiam
                    <lb/>
                  inter curvaturam Ellipſeos in
                    <lb/>
                  vertice
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  & curvaturam ejuſdem Circuli, in duplicata ratione an­
                    <lb/>
                  guli
                    <emph type="italics"/>
                  CTP
                    <emph.end type="italics"/>
                  ad angulum
                    <emph type="italics"/>
                  CTp
                    <emph.end type="italics"/>
                  ; & quod curvatura Ellipſeos in
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                    <lb/>
                  ſit ad curvaturam Circuli illius, in duplicata ratione
                    <emph type="italics"/>
                  TA
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  TC
                    <emph.end type="italics"/>
                  ;
                    <lb/>
                  & curvatura Circuli illius ad curvaturam Circuli centro
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  in­
                    <lb/>
                  tervallo
                    <emph type="italics"/>
                  TC
                    <emph.end type="italics"/>
                  deſcripti, ut
                    <emph type="italics"/>
                  TC
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  TA
                    <emph.end type="italics"/>
                  ; hujus autem curvatura ad
                    <lb/>
                  curvaturam Ellipſeos in
                    <emph type="italics"/>
                  C,
                    <emph.end type="italics"/>
                  in duplicata ratione
                    <emph type="italics"/>
                  TA
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  TC
                    <emph.end type="italics"/>
                  ; &
                    <lb/>
                  differentia inter curvaturam Ellipſeos in vertice
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  & curvaturam
                    <lb/>
                  Circuli noviſſimi, ad differentiam inter curvaturam Figuræ
                    <emph type="italics"/>
                  Tpa
                    <emph.end type="italics"/>
                    <lb/>
                  in vertice
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  & curvaturam ejuſdem Circuli, in duplicata ratione </s>
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