Newton, Isaac, Philosophia naturalis principia mathematica, 1713
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                  dium, adeoque eædem ſunt ac ſi a corpore intermedio mana­
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                  rent.
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                  Q.E.D.
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                  DE MOTU
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                  CORPORUM</s>
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                  <s>Et quoniam data eſt ratio diſtantiæ corporis utriuſvis a centro
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                  illo communi ad diſtantiam corporis ejuſdem a corpore altero, da­
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                  bitur ratio cujuſvis poteſtatis diſtantiæ unius ad eandem poteſta­
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                  tem diſtantiæ alterius; ut & ratio quantitatis cujuſvis, quæ ex una
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                  diſtantia & quantitatibus datis utcunQ.E.D.rivatur, ad quantitatem
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                  aliam, quæ ex altera diſtantia & quantitatibus totidem datis da­
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                  tamQ.E.I.lam diſtantiarum rationem ad priores habentibus ſimiliter
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                  derivatur. </s>
                  <s>Proinde ſi vis, qua corpus unum ab altero trahitur, ſit
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                  directe vel inverſe ut diſtantia corporum ab invicem; vel ut quæ­
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                  libet hujus diſtantiæ poteſtas; vel denique ut quantitas quævis ex
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                  hac diſtantia & quantitatibus datis quomodocunQ.E.D.rivata: erit
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                  eadem vis, qua corpus idem ad commune gravitatis centrum tra­
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                  hitur, directe itidem vel inverſe ut corporis attracti diſtantia a cen­
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                  tro illo communi, vel ut eadem diſtantiæ hujus poteſtas, vel de­
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                  nique ut quantitas ex hac diſtantia & analogis quantitatibus da­
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                  tis ſimiliter derivata. </s>
                  <s>Hoc eſt, Vis trahentis eadem erit Lex reſpe­
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                  ctu diſtantiæ utriuſque.
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                  Q.E.D.
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                  PROPOSITIO LXII. PROBLEMA XXXVIII.
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                  Corporum duorum quæ Viribus quadrato diſtantiæ ſuæ reciproce
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                  proportionalibus ſe mutuo trahunt, ac de locis datis demittun­
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                  tur, determinare Motus.
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                  <s>Corpora (per Theorema noviſſimum) perinde movebuntur ac
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                  ſi a corpore tertio, in communi gravitatis centro conſtituto, trahe­
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                  rentur; & centrum illud ipſo motus initio quieſcet per Hypothe­
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                  ſin; & propterea (per Legum Corol. </s>
                  <s>4.) ſemper quieſcet. </s>
                  <s>Deter­
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                  minandi ſunt igitur motus corporum (per Prob. </s>
                  <s>XXV,) perinde
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                  ac ſi a viribus ad centrum illud tendentibus urgerentur, & habe­
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                  buntur motus corporum ſe mutuo trahentium.
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                  Q.E.I.
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                  PROPOSITIO LXIII. PROBLEMA XXXIX.
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                <p type="main">
                  <s>
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                  Corporum duorum quæ Viribus quadrato diſtantiæ ſuæ reciproce pro­
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                  portionalibus ſe mutuo trahunt, deque locis datis, ſecundum datas
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                  rectas, datis cum Velocitatibus exeunt, determinare Motus.
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                  </s>
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