Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/104.jpg" pagenum="76"/>
                  les. </s>
                  <s>Hac methodo puncta Trajectoriæ inveniuntur expeditiſſime, </s>
                </p>
                <p type="main">
                  <s>
                    <arrow.to.target n="note52"/>
                  niſi mavis Curvam, ut in conſtructione ſecunda, deſeribere Me­
                    <lb/>
                  chanice. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note52"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXIII. PROBLEMA XV.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Trajectoriam deſcribere quæ per data quatuor puncta tranſibit, & rec­
                    <lb/>
                  tam continget poſitione datam.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Cas.
                    <emph.end type="italics"/>
                  1. Dentur tangens
                    <emph type="italics"/>
                  HB,
                    <emph.end type="italics"/>
                  punctum contactus
                    <emph type="italics"/>
                  B,
                    <emph.end type="italics"/>
                  & alia tria
                    <lb/>
                  puncta
                    <emph type="italics"/>
                  C, D, P.
                    <emph.end type="italics"/>
                  Junge
                    <emph type="italics"/>
                  BC,
                    <emph.end type="italics"/>
                  & agendo
                    <emph type="italics"/>
                  PS
                    <emph.end type="italics"/>
                  parallelam
                    <emph type="italics"/>
                  BH,
                    <emph.end type="italics"/>
                    <lb/>
                  &
                    <emph type="italics"/>
                  PQ
                    <emph.end type="italics"/>
                  parallelam
                    <emph type="italics"/>
                  BC,
                    <emph.end type="italics"/>
                  comple parallelogrammum
                    <emph type="italics"/>
                    <expan abbr="BSPq.">BSPque</expan>
                    <emph.end type="italics"/>
                    <lb/>
                    <figure id="id.039.01.104.1.jpg" xlink:href="039/01/104/1.jpg" number="50"/>
                    <lb/>
                  Age
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                  ſecantem
                    <emph type="italics"/>
                  SP
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  T,
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  CD
                    <emph.end type="italics"/>
                  ſecantem
                    <emph type="italics"/>
                  PQ
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  R.
                    <emph.end type="italics"/>
                  De­
                    <lb/>
                  nique, agendo quamvis
                    <emph type="italics"/>
                  tr
                    <emph.end type="italics"/>
                  ipſi
                    <emph type="italics"/>
                  TR
                    <emph.end type="italics"/>
                  parallelam, de
                    <emph type="italics"/>
                  PQ, PS
                    <emph.end type="italics"/>
                    <lb/>
                  abſcinde
                    <emph type="italics"/>
                  Pr, Pt
                    <emph.end type="italics"/>
                  ipſis
                    <emph type="italics"/>
                  PR, PT
                    <emph.end type="italics"/>
                  proportionales reſpective; &
                    <lb/>
                  actarum
                    <emph type="italics"/>
                  Cr, Bt
                    <emph.end type="italics"/>
                  concurſus
                    <emph type="italics"/>
                  d
                    <emph.end type="italics"/>
                  (per Lem. </s>
                  <s>xx) incidet ſemper in
                    <lb/>
                  Trajectoriam deſcribendam. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
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