Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/149.jpg" pagenum="121"/>
                    <arrow.to.target n="note97"/>
                  </s>
                </p>
              </subchap2>
              <subchap2>
                <p type="margin">
                  <s>
                    <margin.target id="note97"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  SECTIO IX.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  De Motu Corporum in Orbibus mobilibus, deque motu Apſidum.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XLIII. PROBLEMA XXX.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Efficiendum est ut corpus in Trajectoria quacunque circa centrum
                    <lb/>
                  Virium revolvente perinde moveri poſſit, atque corpus aliud in
                    <lb/>
                  eadem Trajectoria quieſcente.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>In Orbe
                    <emph type="italics"/>
                  VPK
                    <emph.end type="italics"/>
                  po­
                    <lb/>
                    <figure id="id.039.01.149.1.jpg" xlink:href="039/01/149/1.jpg" number="93"/>
                    <lb/>
                  ſitione dato revolvatur
                    <lb/>
                  corpus
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  pergendo a
                    <lb/>
                    <emph type="italics"/>
                  V
                    <emph.end type="italics"/>
                  verſus
                    <emph type="italics"/>
                  K.
                    <emph.end type="italics"/>
                  A centro
                    <lb/>
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  agatur ſemper
                    <emph type="italics"/>
                  Cp,
                    <emph.end type="italics"/>
                    <lb/>
                  quæ ſit ipſi
                    <emph type="italics"/>
                  CP
                    <emph.end type="italics"/>
                  æqualis,
                    <lb/>
                  angulumque
                    <emph type="italics"/>
                  VCp
                    <emph.end type="italics"/>
                  an­
                    <lb/>
                  gulo
                    <emph type="italics"/>
                  VCP
                    <emph.end type="italics"/>
                  proportio­
                    <lb/>
                  nalem conſtituat; & a­
                    <lb/>
                  rea quam linea
                    <emph type="italics"/>
                  Cp
                    <emph.end type="italics"/>
                  de­
                    <lb/>
                  ſcribit erit ad aream
                    <lb/>
                    <emph type="italics"/>
                  VCP
                    <emph.end type="italics"/>
                  quam linea
                    <emph type="italics"/>
                  CP
                    <emph.end type="italics"/>
                    <lb/>
                  ſimul deſcribit, ut velo­
                    <lb/>
                  citas lineæ deſcribentis
                    <lb/>
                    <emph type="italics"/>
                  Cp
                    <emph.end type="italics"/>
                  ad velocitatem li­
                    <lb/>
                  neæ deſcribentis
                    <emph type="italics"/>
                  CP
                    <emph.end type="italics"/>
                  ;
                    <lb/>
                  hoc eſt, ut angulus
                    <emph type="italics"/>
                  VCp
                    <emph.end type="italics"/>
                  ad angulum
                    <emph type="italics"/>
                  VCP,
                    <emph.end type="italics"/>
                  adeoQ.E.I. data ra­
                    <lb/>
                  tione, & propterea tempori proportionalis. </s>
                  <s>Cum area tempori
                    <lb/>
                  proportionalis ſit quam linea
                    <emph type="italics"/>
                  Cp
                    <emph.end type="italics"/>
                  in plano immobili deſcribit, ma­
                    <lb/>
                  nifeſtum eſt quod corpus, cogente juſtæ quantitatis Vi centripeta,
                    <lb/>
                  revolvi poſſit una cum puncto
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  in Curva illa linea quam punctum
                    <lb/>
                  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
                    <emph.end type="italics"/>
                  angulo
                    <emph type="italics"/>
                  PCp,
                    <emph.end type="italics"/>
                  & linea
                    <emph type="italics"/>
                  Cu
                    <emph.end type="italics"/>
                  lineæ
                    <emph type="italics"/>
                  CV,
                    <emph.end type="italics"/>
                  atque Figura
                    <emph type="italics"/>
                  uCp
                    <emph.end type="italics"/>
                  Fi­
                    <lb/>
                  guræ
                    <emph type="italics"/>
                  VCP
                    <emph.end type="italics"/>
                  æqualis, & corpus in
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  ſemper exiſtens movebitur in </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
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