Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/086.jpg" pagenum="58"/>
                    <arrow.to.target n="note34"/>
                  in caſu hujus Corollarii, ſit
                    <emph type="italics"/>
                  DS+DH
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  DH
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                  ut 4
                    <emph type="italics"/>
                  DS
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  L,
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                  &
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                  diviſim
                    <emph type="italics"/>
                  DS
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  DH
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                  ut 4
                    <emph type="italics"/>
                  DS-L
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  L.
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                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note34"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  2. Unde ſi datur corporis velocitas in vertice principali
                    <emph type="italics"/>
                  D,
                    <emph.end type="italics"/>
                    <lb/>
                  invenietur Orbita expedite, capiendo ſcilicet latus rectum ejus, ad
                    <lb/>
                  duplam diſtantiam
                    <emph type="italics"/>
                  DS,
                    <emph.end type="italics"/>
                  in duplicata ratione velocitatis hujus datæ
                    <lb/>
                  ad velocitatem corporis in Circulo, ad diſtantiam
                    <emph type="italics"/>
                  DS,
                    <emph.end type="italics"/>
                  gyrantis (per
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                  Corol. </s>
                  <s>3. Prop. </s>
                  <s>XVI.) dein
                    <emph type="italics"/>
                  DH
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  DS
                    <emph.end type="italics"/>
                  ut latus rectum ad differen­
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                  tiam inter latus rectum & 4
                    <emph type="italics"/>
                  DS.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  3. Hinc etiam ſi corpus moveatur in Sectione quacunque
                    <lb/>
                  Conica, & ex Orbe ſuo impulſu quocunque exturbetur; cognoſci
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                  poteſt Orbis in quo poſtea curſum ſuum peraget. </s>
                  <s>Nam componen­
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                  do proprium corporis motum cum motu illo quem impulſus ſolus
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                  generaret, habebitur motus quocum corpus de dato impulſus loco,
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                  ſecundum rectam poſitione datam, exibit. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  4. Et ſi corpus illud vi aliqua extrinſecus impreſſa conti­
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                  nuo perturbetur, innoteſcet curſus quam proxime, colligendo mu­
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                  tationes quas vis illa in punctis quibuſdam inducit, & ex ſeriei ana­
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                  logia mutationes continuas in locis intermediis æſtimando. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Scholium.
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                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Si corpus
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  vi centripeta ad
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                    <figure id="id.039.01.086.1.jpg" xlink:href="039/01/086/1.jpg" number="27"/>
                    <lb/>
                  punctum quodcunQ.E.D.tum
                    <emph type="italics"/>
                  R
                    <emph.end type="italics"/>
                    <lb/>
                  tendente moveatur in perimetro
                    <lb/>
                  datæ cujuſcunque Sectionis co­
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                  nicæ cujus centrum ſit
                    <emph type="italics"/>
                  C,
                    <emph.end type="italics"/>
                  & re­
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                  quiratur Lex vis centripetæ: du­
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                  catur
                    <emph type="italics"/>
                  CG
                    <emph.end type="italics"/>
                  radio
                    <emph type="italics"/>
                  RP
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                  paralle­
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                  la, & Orbis tangenti
                    <emph type="italics"/>
                  PG
                    <emph.end type="italics"/>
                  oc­
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                  currens in
                    <emph type="italics"/>
                  G
                    <emph.end type="italics"/>
                  ; & vis illa (per
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                  Corol. </s>
                  <s>1 & Schol. </s>
                  <s>Prop. </s>
                  <s>X, & Corol. </s>
                  <s>3 Prop. </s>
                  <s>VII.) erit ut
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                  (
                    <emph type="italics"/>
                  CG cub./RP quad.
                    <emph.end type="italics"/>
                  ) </s>
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