Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  PROPOSITIO VII. THEOREMA VII.
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                  LIBER
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                  TERTIUS.</s>
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                  Gravitatem in corpora univerſa fieri, eamque proportionalem eſſe
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                  quantitati materiæ in ſingulis.
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                  <s>Planetas omnes in ſe mutuo graves eſſe jam ante probavimus,
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                  ut & gravitatem in unumquemque ſeorſim ſpectatum eſſe reci­
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                  proce ut quadratum diſtantiæ loeorum à centro Planetæ. Et inde
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                  conſequens eſt, (per Prop. LXIX. Lib. I. & ejus Corollaria) gra­
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                  vitatem in omnes proportionalem eſſe materiæ in iiſdem.
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                  <s>Porro cum Pianetæ cujuſvis
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                  A
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                  partes omnes graves ſint in Pla­
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                  netam quemvis
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                  B,
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                  & gravitas partis cujuſque ſit ad gravitatem
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                  totius, ut materia partis ad materiam totius, & actioni omni re­
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                  actio (per motus Legem tertiam) æqualis ſit; Planeta
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                  B
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                  in partes
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                  omnes Planetæ
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                  A
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                  viciſſim gravitabit, & erit gravitas ſua in par­
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                  tem unamquamque ad gravitatem ſuam in totum, ut materia par­
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                  tis ad materiam totius.
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                  Q.E.D.
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                  Corol.
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                  1. Oritur igitur & componitur gravitas in Planetam to­
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                  tum ex gravitate in partes ſingulas. </s>
                  <s>Cujus rei exempla habemus
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                  in attractionibus Magneticis & Electricis. </s>
                  <s>Oritur enim attractio
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                  omnis in totum ex attractionibus in partes ſingulas. </s>
                  <s>Res intelli­
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                  getur in gravitate, concipiendo Planetas plures minores in unum
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                  Globum coire & Planetam majorem componere. </s>
                  <s>Nam vis totius
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                  ex viribus partium componentium oriri debebit. </s>
                  <s>Siquis objiciat
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                  quod corpora omnia, quæ apud nos ſunt, hac lege gravitare de­
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                  berent in ſe mutuo, cum tamen cjuſmodi gravitas neutiquam ſen­
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                  tiatur: Reſpondeo quod gravitas in hæc corpora, cum ſit ad gra­
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                  vitatem in Terram totam ut ſunt hæc corpora ad Terram totam,
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                  longe minor eſt quam quæ ſentiri poſſit.
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                  Corol.
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                  2. Gravitatio in ſingulas corporis particulas æquales eſt
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                  reciproce ut quadratum diſtantiæ loeorum à particulis. </s>
                  <s>Patet per
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                  Corol. 3. Prop. LXXIV. Lib. I.
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