Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/161.jpg" pagenum="133"/>
                  vi centripeta
                    <emph type="italics"/>
                  TV
                    <emph.end type="italics"/>
                  qua corpus
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  in ſpatio libero circa centrum
                    <lb/>
                    <arrow.to.target n="note109"/>
                  datum
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  revolvitur, datur per Prop. </s>
                  <s>XLII, tum Trajectoria
                    <emph type="italics"/>
                  PQR
                    <emph.end type="italics"/>
                    <lb/>
                  quam corpus deſcribit, tum locus
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  in quo corpus ad datum quod­
                    <lb/>
                  vis tempus verſabitur, tum denique velocitas corporis in loco illo
                    <lb/>
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  ; & contra.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. I.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note109"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XLVII. THEOREMA XV.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Poſito quod Vis centripeta proportionalis ſit diſtantiæ corporis a
                    <lb/>
                  centro; corpora omnia in planis quibuſcunque revolventia de­
                    <lb/>
                  ſcribent Ellipſes, & revolutiones Temporibus æqualibus peragent;
                    <lb/>
                  quæque moventur in lineis rectis, ultro citroQ.E.D.ſcurrendo,
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                  ſingulas eundi & redeundi periodos iiſdem Temporibus abſol­
                    <lb/>
                  vent.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Nam, ſtantibus quæ
                    <lb/>
                    <figure id="id.039.01.161.1.jpg" xlink:href="039/01/161/1.jpg" number="96"/>
                    <lb/>
                  in ſuperiore Propoſitio­
                    <lb/>
                  ne, vis
                    <emph type="italics"/>
                  SV
                    <emph.end type="italics"/>
                  qua corpus
                    <lb/>
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  in plano quovis
                    <emph type="italics"/>
                  PQR
                    <emph.end type="italics"/>
                    <lb/>
                  revolvens trahitur ver­
                    <lb/>
                  ſus centrum
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  eſt ut di­
                    <lb/>
                  ſtantia
                    <emph type="italics"/>
                    <expan abbr="Sq;">Sque</expan>
                    <emph.end type="italics"/>
                  atque adeo
                    <lb/>
                  ob proportionales
                    <emph type="italics"/>
                  SV
                    <emph.end type="italics"/>
                    <lb/>
                  &
                    <emph type="italics"/>
                  SQ, TV
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  CQ,
                    <emph.end type="italics"/>
                  vis
                    <lb/>
                    <emph type="italics"/>
                  TV
                    <emph.end type="italics"/>
                  qua corpus trahi­
                    <lb/>
                  tur verſus punctum
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                    <lb/>
                  in Orbis plano datum,
                    <lb/>
                  eſt ut diſtantia
                    <emph type="italics"/>
                  C Q.
                    <emph.end type="italics"/>
                  Vi­
                    <lb/>
                  res igitur, quibus cor­
                    <lb/>
                  pora in plano
                    <emph type="italics"/>
                  PQR
                    <emph.end type="italics"/>
                    <lb/>
                  verſantia trahuntur ver­
                    <lb/>
                  ſus punctum
                    <emph type="italics"/>
                  C,
                    <emph.end type="italics"/>
                  ſunt pro
                    <lb/>
                  ratione diſtantiarum æquales viribus quibus corpora undiquaque
                    <lb/>
                  trahuntur verſus centrum
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  ; & propterea corpora movebuntur iiſ­
                    <lb/>
                  dem Temporibus, in iiſdem Figuris, in plano quovis
                    <emph type="italics"/>
                  PQR
                    <emph.end type="italics"/>
                  circa
                    <lb/>
                  punctum
                    <emph type="italics"/>
                  C,
                    <emph.end type="italics"/>
                  atQ.E.I. ſpatiis liberis circa centrum
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  ; adeoque (per
                    <lb/>
                  Corol. </s>
                  <s>2. Prop. </s>
                  <s>X, & Corol. </s>
                  <s>2. Prop. </s>
                  <s>XXXVIII) Temporibus ſemper </s>
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