Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  LIBER
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                  PRIMUS.</s>
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                  PROPOSITIO LIII. PROBLEMA XXXV.
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                  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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                <p type="main">
                  <s>Oſcilletur corpus
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                  T
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                  in curva quavis linea
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                  STRQ,
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                  cujus axis ſit
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                    <emph type="italics"/>
                  OR
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                  tranſiens per virium centrum
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                  C.
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                  Agatur
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                  TX
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                  quæ curvam il­
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                  lam in corporis loco quovis
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                  T
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                  contingat, inque hac tangente
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                  TX
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                  capiatur
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                  TY
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                  æqualis arcui
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                  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
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                  Y
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                  educatur recta
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                  YZ
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                  tangenti perpendicularis. </s>
                  <s>Agatur
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                  CT
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                  per­
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                  pendiculari illi occurrens in
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                  Z,
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                  & erit Vis centripeta proportiona­
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                  lis rectæ
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                  TZ.
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                  E. I.
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