Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/105.jpg" pagenum="77"/>
                    <arrow.to.target n="note53"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note53"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Idem aliter.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Revolvatur tum angulus magnitudine datus
                    <emph type="italics"/>
                  CBH
                    <emph.end type="italics"/>
                  circa polum
                    <lb/>
                    <emph type="italics"/>
                  B,
                    <emph.end type="italics"/>
                  tum radius quilibet rectilineus & utrinque productus
                    <emph type="italics"/>
                  DC
                    <emph.end type="italics"/>
                  cir­
                    <lb/>
                  ca polum
                    <emph type="italics"/>
                  C.
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                  Notentur puncta
                    <emph type="italics"/>
                  M, N
                    <emph.end type="italics"/>
                  in quibus anguli crus
                    <emph type="italics"/>
                  BC
                    <emph.end type="italics"/>
                    <lb/>
                  ſecat radium illum ubi crus alterum
                    <emph type="italics"/>
                  BH
                    <emph.end type="italics"/>
                  concurrit cum eodem ra­
                    <lb/>
                  dio in punctis
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  D.
                    <emph.end type="italics"/>
                  Deinde ad actam infinitam
                    <emph type="italics"/>
                  MN
                    <emph.end type="italics"/>
                  con­
                    <lb/>
                    <figure id="id.039.01.105.1.jpg" xlink:href="039/01/105/1.jpg" number="51"/>
                    <lb/>
                  currant perpetuo radius ille
                    <emph type="italics"/>
                  CP
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  CD
                    <emph.end type="italics"/>
                  & anguli crus
                    <emph type="italics"/>
                  BC,
                    <emph.end type="italics"/>
                  &
                    <lb/>
                  cruris alterius
                    <emph type="italics"/>
                  BH
                    <emph.end type="italics"/>
                  concurſus cum radio delineabit Trajectoriam
                    <lb/>
                  quæſitam. </s>
                </p>
                <p type="main">
                  <s>Nam ſi in conſtructionibus Problematis ſuperioris accedat punc­
                    <lb/>
                  tum
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  ad punctum
                    <emph type="italics"/>
                  B,
                    <emph.end type="italics"/>
                  lineæ
                    <emph type="italics"/>
                  CA
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  CB
                    <emph.end type="italics"/>
                  coincident, & linea
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  in
                    <lb/>
                  ultimo ſuo ſitu fiet tangens
                    <emph type="italics"/>
                  BH,
                    <emph.end type="italics"/>
                  atque adeo conſtructiones ibi po­
                    <lb/>
                  ſitæ evadent eædem cum conſtructionibus hic deſcriptis. </s>
                  <s>Delinea­
                    <lb/>
                  bit igitur cruris
                    <emph type="italics"/>
                  BH
                    <emph.end type="italics"/>
                  concurſus cum radio ſectionem Conicam per
                    <lb/>
                  puncta
                    <emph type="italics"/>
                  C, D, P
                    <emph.end type="italics"/>
                  tranſeuntem, & rectam
                    <emph type="italics"/>
                  BH
                    <emph.end type="italics"/>
                  tangentem in puncto
                    <lb/>
                    <emph type="italics"/>
                  B. q.E.F.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Cas.
                    <emph.end type="italics"/>
                  2. Dentur puncta quatuor
                    <emph type="italics"/>
                  B, C, D, P
                    <emph.end type="italics"/>
                  extra tangentem
                    <lb/>
                    <emph type="italics"/>
                  HI
                    <emph.end type="italics"/>
                  ſita. </s>
                  <s>Junge bina lineis
                    <emph type="italics"/>
                  BD, CP
                    <emph.end type="italics"/>
                  concurrentibus in
                    <emph type="italics"/>
                  G,
                    <emph.end type="italics"/>
                  tangen-</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
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