Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/171.jpg" pagenum="143"/>
                    <arrow.to.target n="note119"/>
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                <p type="margin">
                  <s>
                    <margin.target id="note119"/>
                  LIBER
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                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO LIII. PROBLEMA XXXV.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Conceſſis Figurarum curvilinearum quadraturis, invenire Vires qui­
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                  bus corpora in datis curvis lineis Oſcillationes ſemper Iſochro­
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                  nas peragent.
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                  </s>
                </p>
                <p type="main">
                  <s>Oſcilletur corpus
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  in curva quavis linea
                    <emph type="italics"/>
                  STRQ,
                    <emph.end type="italics"/>
                  cujus axis ſit
                    <lb/>
                    <emph type="italics"/>
                  OR
                    <emph.end type="italics"/>
                  tranſiens per virium centrum
                    <emph type="italics"/>
                  C.
                    <emph.end type="italics"/>
                  Agatur
                    <emph type="italics"/>
                  TX
                    <emph.end type="italics"/>
                  quæ curvam il­
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                  lam in corporis loco quovis
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  contingat, inque hac tangente
                    <emph type="italics"/>
                  TX
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                    <lb/>
                    <figure id="id.039.01.171.1.jpg" xlink:href="039/01/171/1.jpg" number="101"/>
                    <lb/>
                  capiatur
                    <emph type="italics"/>
                  TY
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                  æqualis arcui
                    <emph type="italics"/>
                  TR.
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                  Nam longitudo arcus illius ex Fi­
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                  gurarum quadraturis (per Methodos vulgares) innoteſcit. </s>
                  <s>De pun­
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                  cto
                    <emph type="italics"/>
                  Y
                    <emph.end type="italics"/>
                  educatur recta
                    <emph type="italics"/>
                  YZ
                    <emph.end type="italics"/>
                  tangenti perpendicularis. </s>
                  <s>Agatur
                    <emph type="italics"/>
                  CT
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                  per­
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                  pendiculari illi occurrens in
                    <emph type="italics"/>
                  Z,
                    <emph.end type="italics"/>
                  & erit Vis centripeta proportiona­
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                  lis rectæ
                    <emph type="italics"/>
                  TZ.
                    <expan abbr="q.">que</expan>
                  E. I.
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                  </s>
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