Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  LIBER
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                  PRIMUS.</s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
                  SECTIO IX.
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                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  De Motu Corporum in Orbibus mobilibus, deque motu Apſidum.
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                    <emph.end type="center"/>
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                <p type="main">
                  <s>
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                  PROPOSITIO XLIII. PROBLEMA XXX.
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Efficiendum est ut corpus in Trajectoria quacunque circa centrum
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                  Virium revolvente perinde moveri poſſit, atque corpus aliud in
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                  eadem Trajectoria quieſcente.
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                  </s>
                </p>
                <p type="main">
                  <s>In Orbe
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                  VPK
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                  po­
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                    <lb/>
                  ſitione dato revolvatur
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                  corpus
                    <emph type="italics"/>
                  P
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                  pergendo a
                    <lb/>
                    <emph type="italics"/>
                  V
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                  verſus
                    <emph type="italics"/>
                  K.
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                  A centro
                    <lb/>
                    <emph type="italics"/>
                  C
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                  agatur ſemper
                    <emph type="italics"/>
                  Cp,
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                    <lb/>
                  quæ ſit ipſi
                    <emph type="italics"/>
                  CP
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                  æqualis,
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                  angulumque
                    <emph type="italics"/>
                  VCp
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                  an­
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                  gulo
                    <emph type="italics"/>
                  VCP
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                  proportio­
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                  nalem conſtituat; & a­
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                  rea quam linea
                    <emph type="italics"/>
                  Cp
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                  de­
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                  ſcribit erit ad aream
                    <lb/>
                    <emph type="italics"/>
                  VCP
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                  quam linea
                    <emph type="italics"/>
                  CP
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                    <lb/>
                  ſimul deſcribit, ut velo­
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                  citas lineæ deſcribentis
                    <lb/>
                    <emph type="italics"/>
                  Cp
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                  ad velocitatem li­
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                  neæ deſcribentis
                    <emph type="italics"/>
                  CP
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                  ;
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                  hoc eſt, ut angulus
                    <emph type="italics"/>
                  VCp
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                  ad angulum
                    <emph type="italics"/>
                  VCP,
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                  adeoQ.E.I. data ra­
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                  tione, & propterea tempori proportionalis. </s>
                  <s>Cum area tempori
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                  proportionalis ſit quam linea
                    <emph type="italics"/>
                  Cp
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                  in plano immobili deſcribit, ma­
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                  nifeſtum eſt quod corpus, cogente juſtæ quantitatis Vi centripeta,
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                  revolvi poſſit una cum puncto
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  in Curva illa linea quam punctum
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                  idem
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  ratione jam expoſita deſcribit in plano immobili. </s>
                  <s>Fiat angu­
                    <lb/>
                  lus
                    <emph type="italics"/>
                  VCu
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                  angulo
                    <emph type="italics"/>
                  PCp,
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                  & linea
                    <emph type="italics"/>
                  Cu
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                  lineæ
                    <emph type="italics"/>
                  CV,
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                  atque Figura
                    <emph type="italics"/>
                  uCp
                    <emph.end type="italics"/>
                  Fi­
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                  guræ
                    <emph type="italics"/>
                  VCP
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                  æqualis, & corpus in
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  ſemper exiſtens movebitur in </s>
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