Newton, Isaac, Philosophia naturalis principia mathematica, 1713
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                  DE MOTU
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                  CORPORUM</s>
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                  SECTIO XIII.
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                  De Corporum non Sphærieorum viribus attactivis.
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                  PROPOSITIO LXXXV. THEOREMA XLII.
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                  Si corporis attracti, ubi attrahenti contiguum est, attractio longe
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                  fortior ſit, quam cum vel minimo intervallo ſeparantur ab in­
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                  vicem: vires particularum trahentis, in receſſu corporis attrac­
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                  ti, decreſcunt in ratione pluſquam duplicata diſtantiarum a
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                  particulis.
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                  <s>Nam ſi vires decreſcunt in ratione duplicata diſtantiarum a par­
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                  ticulis; attractio verſus corpus Sphæricum, propterea quod (per
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                  Prop. </s>
                  <s>LXXIV) ſit reciproce ut quadratum diſtantiæ attracti corpo­
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                  ris a centro Sphæræ, haud ſenſibiliter augebitur ex contactu; atque
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                  adhuc minus augebitur ex contactu, ſi attractio in receſſu corporis
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                  attracti decreſcat in ratione minore. </s>
                  <s>Patet igitur Propoſitio de
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                  Sphæris attractivis. </s>
                  <s>Et par eſt ratio Orbium Sphærieorum conca­
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                  vorum corpora externa trahentium. </s>
                  <s>Et multo magis res conſtat in
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                  Orbibus corpora interius conſtituta trahentibus, cum attractiones
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                  paſſim per Orbium cavitates ab attractionibus contrariis (per Prop. </s>
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                  LXX) tollantur, ideoque vel in ipſo contactu nullæ ſunt. </s>
                  <s>Quod
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                  ſi Sphæris hiſce Orbibuſque Sphæricis partes quælibet a loco con­
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                  tactus remotæ auferantur, & partes novæ ubivis addantur: mu­
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                  tari poſſunt figuræ horum corporum attractivorum pro lubitu, nec
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                  tamen partes additæ vel ſubductæ, cum ſint a loco contactus re­
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                  motæ, augebunt notabiliter attractionis exceſſum qui ex contactu
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                  oritur. </s>
                  <s>Conſtat igitur Propoſitio de corporibus Figurarum om­
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                  nium.
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                  E. D.
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