Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
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                <p type="margin">
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                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  2. In Syſtemate vero trium corporum
                    <emph type="italics"/>
                  T, P, S,
                    <emph.end type="italics"/>
                  ſi attracti­
                    <lb/>
                  ones acceleratrices binorum quorumcunQ.E.I. tertium ſint ad invi­
                    <lb/>
                  cem reciproce ut quadrata diſtantiarum; corpus
                    <emph type="italics"/>
                  P,
                    <emph.end type="italics"/>
                  radio
                    <emph type="italics"/>
                  PT,
                    <emph.end type="italics"/>
                  are­
                    <lb/>
                  am circa corpus
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  velocius deſcribet prope Conjunctionem
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  & Op­
                    <lb/>
                  poſitionem
                    <emph type="italics"/>
                  B,
                    <emph.end type="italics"/>
                  quam prope Quadraturas
                    <emph type="italics"/>
                  C, D.
                    <emph.end type="italics"/>
                  Namque vis omnis
                    <lb/>
                  qua corpus
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  urgetur & corpus
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  non urgetur, quæque non agit
                    <lb/>
                  ſecundum lineam
                    <emph type="italics"/>
                  PT
                    <emph.end type="italics"/>
                  accelerat vel retardat deſcriptionem areæ,
                    <lb/>
                  perinde ut ipſa in conſequentia vel in antecedentia dirigitur. </s>
                  <s>Talis
                    <lb/>
                  eſt vis
                    <emph type="italics"/>
                  NM.
                    <emph.end type="italics"/>
                  Hæc in tranſitu corporis
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  a
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  tendit in con­
                    <lb/>
                  ſequentia, motumque accelerat; dein uſque ad
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  in antecedentia,
                    <lb/>
                  & motum retardat; tum in conſequentia uſque ad
                    <emph type="italics"/>
                  B,
                    <emph.end type="italics"/>
                  & ultimo in
                    <lb/>
                  antecedentia tranſeundo a
                    <emph type="italics"/>
                  B
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  C.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  3. Et eodem argumento patet quod corpus
                    <emph type="italics"/>
                  P,
                    <emph.end type="italics"/>
                  cæteris pa­
                    <lb/>
                  ribus, velocius movetur in Conjunctione & Oppoſitione quam in
                    <lb/>
                  Quadraturis. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  4. Orbita corporis
                    <emph type="italics"/>
                  P,
                    <emph.end type="italics"/>
                  cæteris paribus, curvior eſt in Qua­
                    <lb/>
                  draturis quam in Conjunctione & Oppoſitione. </s>
                  <s>Nam corpora ve­
                    <lb/>
                  lociora minus deflec­
                    <lb/>
                    <figure id="id.039.01.188.1.jpg" xlink:href="039/01/188/1.jpg" number="109"/>
                    <lb/>
                  tunt a recto tramite. </s>
                  <s>Et
                    <lb/>
                  præterea vis
                    <emph type="italics"/>
                  KL
                    <emph.end type="italics"/>
                  vel
                    <lb/>
                    <emph type="italics"/>
                  NM,
                    <emph.end type="italics"/>
                  in Conjunctione
                    <lb/>
                  & Oppoſitione, con­
                    <lb/>
                  traria eſt vi qua cor­
                    <lb/>
                  pus
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  trahit corpus
                    <emph type="italics"/>
                  P,
                    <emph.end type="italics"/>
                    <lb/>
                  adeoque vim illam mi­
                    <lb/>
                  nuit; corpus autem
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                    <lb/>
                  minus deflectet a recto
                    <lb/>
                  tramite, ubi minus urgetur in corpus
                    <emph type="italics"/>
                  T.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  5. Unde corpus
                    <emph type="italics"/>
                  P,
                    <emph.end type="italics"/>
                  cæteris paribus, longius recedet a cor­
                    <lb/>
                  pore
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  in Quadraturis, quam in Conjunctione & Oppoſitione. </s>
                  <s>Hæc
                    <lb/>
                  ita ſe habent excluſo motu Excentricitatis. </s>
                  <s>Nam ſi Orbita corpo­
                    <lb/>
                  ris
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  excentrica ſit: Excentricitas ejus (ut mox in hujus Corol. </s>
                  <s>9.
                    <lb/>
                  oſtendetur) evadet maxima ubi Apſides ſunt in Syzygiis; indeque
                    <lb/>
                  fieri poteſt ut corpus
                    <emph type="italics"/>
                  P,
                    <emph.end type="italics"/>
                  ad Apſidem ſummam appellans, abſit lon­
                    <lb/>
                  gius a corpore
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  in Syzygiis quam in Quadraturis. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  6. Quoniam vis centripeta corporis centralis
                    <emph type="italics"/>
                  T,
                    <emph.end type="italics"/>
                  qua cor­
                    <lb/>
                  pus
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  retinetur in Orbe ſuo, augetur in Quadraturis per additio­
                    <lb/>
                  nem vis
                    <emph type="italics"/>
                  LM,
                    <emph.end type="italics"/>
                  ac diminuitur in Syzygiis per ablationem vis
                    <emph type="italics"/>
                  KL,
                    <emph.end type="italics"/>
                  &
                    <lb/>
                  ob magnitudinem vis
                    <emph type="italics"/>
                  KL,
                    <emph.end type="italics"/>
                  magis diminuitur quam augetur; eſt au­
                    <lb/>
                  tem vis illa centripeta (per Corol. </s>
                  <s>2, Prop. </s>
                  <s>IV.) in ratione compo­
                    <lb/>
                  ſita ex ratione ſimplici radii
                    <emph type="italics"/>
                  TP
                    <emph.end type="italics"/>
                  directe & ratione duplicata tempo-</s>
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