Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  TC
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                  ſeu 69 ad 70. Debet autem deſcriptio areæ
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                  CTP,
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                  in pro­
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                  greſſu Lunæ a Quadratura ad Syzygiam, ea ratione accelerari, ut
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                  ejus momentum in Syzygia Lunæ ſit ad ejus momentum in Qua­
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                  dratura ut 11073 ad 10973, utque exceſſus momenti in loco
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                  quovis intermedio
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                  P
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                  ſupra momentum in Quadratura ſit ut qua­
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                  dratum ſinus anguli
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                  CTP.
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                  Id quod ſatis accurate fiet, ſi tan­
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                  gens anguli
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                  CTP
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                  diminuatur in ſubduplicata ratione numeri
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                  10973 ad numerum 11073, id eſt, in ratione numeri 68,6877 ad
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                  numerum 69. Quo pacto
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                    <figure id="id.039.01.430.1.jpg" xlink:href="039/01/430/1.jpg" number="210"/>
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                  tangens anguli
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                  CTP
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                  jam e­
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                  rit ad tangentem motus me­
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                  dii ut 68,6877 ad 70, & an­
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                  gulus
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                  CTP
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                  in Octantibus,
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                  ubi motus medius eſt 45
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                  gr.
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                  invenietur 44
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                  gr.
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                  27′. </s>
                  <s>28″. </s>
                  <s>qui
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                  ſubductus de angulo motus
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                  medii 45
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                  gr.
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                  relinquit Varia­
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                  tionem maximam 32′. </s>
                  <s>32″. </s>
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                  Hæc ita ſe haberent ſi Luna,
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                  pergendo a Quadratura ad
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                  Syzygiam, deſcriberet angu­
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                  lum
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                  CTA
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                  graduum tantum
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                  nonaginta. </s>
                  <s>Verum ob mo­
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                  tum Terræ, quo Sol in con­
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                  ſequentia motu apparente
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                  transfertur, Luna, priuſquam
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                  Solem aſſequitur, deſcribit
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                  angulum
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                  CTa
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                  angulo recto majorem in ratione temporis revo­
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                  lutionis Lunaris Synodicæ ad tempus revolutionis Periodicæ, id
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                  eſt, in ratione 29
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                  d.
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                  12
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                  h.
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                  44′. </s>
                  <s>ad 27
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                  d.
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                  7
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                  h.
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                  43′. </s>
                  <s>Et hoc pacto an­
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                  guli omnes circa centrum
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                  T
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                  dilatantur in eadem ratione, & Va­
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                  riatio maxima quæ ſecus eſſet 32′. </s>
                  <s>32″, jam aucta in eadem ratione
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                  fit 35′. </s>
                  <s>10″. </s>
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                <p type="margin">
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                  DE MUNDI
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                  SYSTEMATE</s>
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                <p type="main">
                  <s>Hæc eſt ejus magnitudo in mediocri diſtantia Solis a Terra,
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                  neglectis differentiis quæ a curvatura Orbis magni majorique So­
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                  lis actione in Lunam falcatam & novam quam in gibboſam &
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                  plenam, oriri poſſint. </s>
                  <s>In aliis diſtantiis Solis a Terra, Variatio
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                  maxima eſt in ratione quæ componitur ex duplicata ratione tem­
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                  poris revolutionis Synodicæ Lunaris (dato anni tempore) directe,
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                  & triplicata ratione diſtantiæ Solis a Terra inverſe. </s>
                  <s>IdeoQ.E.I. </s>
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