Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/190.jpg" pagenum="162"/>
                    <arrow.to.target n="note138"/>
                  bus actio ipſius
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                  T
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                  minuetur undique, decreſcetQ.E.I. ratione pluſ­
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                  quam duplicata diſtantiæ. </s>
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                <p type="margin">
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                    <margin.target id="note138"/>
                  DE MOTU
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                  CORPORUM</s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
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                  8. Cum autem pendeat Apſidum progreſſus vel regreſſus
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                  a decremento vis centripetæ facto in majori vel minori quam du­
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                  plicata ratione diſtantiæ
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                  TP,
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                  in tranſitu corporis ab Apſide ima
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                  ad Apſidem ſummam; ut & a ſimili incremento in reditu ad Ap­
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                  ſidem imam; atque adeo maximus ſit ubi proportio vis in Apſide
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                  ſumma ad vim in Apſide ima maxime recedit a duplicata ratione
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                  diſtantiarum inverſa: manifeſtum eſt quod Apſides in Syzygiis
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                  ſuis, per vim ablatitiam
                    <emph type="italics"/>
                  KL
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                  ſeu
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                  NM-LM,
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                  progredientur ve­
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                  locius, inque Quadraturis ſuis tardius recedent per vim addititiam
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                    <emph type="italics"/>
                  LM.
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                  Ob diuturnitatem vero temporis quo velocitas progreſſus vel
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                  tarditas regreſſus continuatur, fit hæc inæqualitas longe maxima. </s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
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                  9. Si corpus aliquod vi reciproce proportionali quadrato
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                  diſtantiæ ſuæ a centro, revolveretur circa hoc centrum in El­
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                  lipſi, & mox, in deſcenſu ab Apſide ſumma ſeu Auge ad Apſidem
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                  imam, vis illa per acceſſum perpetuum vis novæ augeretur in ra­
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                  tione pluſquam dupli­
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                    <figure id="id.039.01.190.1.jpg" xlink:href="039/01/190/1.jpg" number="110"/>
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                  cata diſtantiæ diminu­
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                  tæ: manifeſtum eſt
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                  quod corpus, perpe­
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                  tuo acceſſu vis illius
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                  novæ impulſum ſem­
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                  per in centrum, magis
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                  vergeret in hoc cen­
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                  trum, quam ſi urge­
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                  retur vi ſola creſcente
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                  in duplicata ratione diſtantiæ diminutæ, adeoque Orbem deſcri­
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                  beret Orbe Elliptico interiorem, & in Apſide ima propius acce­
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                  deret ad centrum quam prius. </s>
                  <s>Orbis igitur, acceſſu hujus vis no­
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                  væ, fiet magis excentricus. </s>
                  <s>Si jam vis, in receſſu corporis ab
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                  Apſide ima ad Apſidem ſummam, decreſceret iiſdem gradibus qui­
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                  bus ante creverat, rediret corpus ad diſtantiam priorem, adeoque
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                  ſi vis decreſcat in majori ratione, corpus jam minus attractum aſ­
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                  cendet ad diſtantiam majorem & ſic Orbis Excentricitas adhuc ma­
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                  gis augebitur. </s>
                  <s>Igitur ſi ratio incrementi & decrementi vis centri­
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                  petæ ſingulis revolutionibus augeatur, augebitur ſemper Excentri­
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                  citas; & e contra, diminuetur eadem ſi ratio illa decreſcat. </s>
                  <s>Jam
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                  vero in Syſtemate corporum
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                  T, P, S,
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                  ubi Apſides Orbis
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                  PAB
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                  ſunt in Quadraturis, ratio illa incrementi ac decrementi minima eſt, </s>
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