Newton, Isaac, Philosophia naturalis principia mathematica, 1713
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                  DE MOTU
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                  CORPORUM</s>
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                  SECTIO VI.
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                  De Motu & Reſiſtentia Corporum Funependulorum.
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                  PROPOSITIO XXIV. THEOREMA XIX.
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                  Quantitates materiæ in corporibus funependulis, quorum centra
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                  oſcillationum a centro ſuſpenſionis æqualiter diſtant, ſunt in ra­
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                  tione compoſita ex ratione ponderum & ratione duplicata tem­
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                  porum oſcillationum in vacuo.
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                  <s>Nam velocitas, quam data vis in data materia dato tempore ge­
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                  nerare poteſt, eſt ut vis & tempus directe, & materia inverſe. </s>
                  <s>Quo
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                  major eſt vis vel majus tempus vel minor materia, eo major gene­
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                  rabitur velocitas. </s>
                  <s>Id quod per motus Legem ſecundam manife­
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                  ſtum eſt. </s>
                  <s>Jam vero ſi Pendula ejuſdem ſint longitudinis, vires mo­
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                  trices in locis a perpendiculo æqualiter diſtantibus ſunt ut ponde­
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                  ra: ideoque ſi corpora duo oſcillando deſcribant arcus æquales, &
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                  arcus illi dividantur in partes æquales; cum tempora quibus cor­
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                  pora deſcribant ſingulas arcuum partes correſpondentes ſint ut
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                  tempora oſcillationum totarum, erunt velocitates ad invicem in
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                  correſpondentibus oſcillationum partibus, ut vires motrices & tota
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                  oſcillationum tempora directe & quantitates materiæ reciproce:
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                  adeoque quantitates materiæ ut vires & oſcillationum tempora di­
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                  recte & velocitates reciproce. </s>
                  <s>Sed velocitates reciproce ſunt ut
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                  tempora, atque adeo tempora directe & velocitates reciproce ſunt
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                  ut quadrata temporum, & propterea quantitates materiæ ſunt ut
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                  vires motrices & quadrata temporum, id eſt, ut pondera & quadra­
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                  ta temporum.
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                  E. D.
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                  Corol.
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                  1. Ideoque ſi tempora ſunt æqualia, quantitates materiæ
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                  in ſingulis corporibus erunt ut pondera. </s>
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                  Corol.
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                  2. Si pondera ſunt æqualia, quantitates materiæ erunt ut
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                  quadrata temporum. </s>
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                  Corol.
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                  3. Si quantitates materiæ æquantur, pondera erunt reci­
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                  proce ut quadrata temporum. </s>
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