Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  DE MUNDI
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                  SYSTEMATE</s>
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                  PROPOSITIO XXXVI. PROBLEMA XVII.
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                  Invenire vim Solis ad Mare movendum.
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                  <s>Solis vis
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                  ML
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                  ſeu
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                  PT,
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                  in Quadraturis Lunaribus, ad pertur­
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                  bandos motus Lunares, erat (per Prop. </s>
                  <s>XXV. hujus) ad vim
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                  gravitatis apud nos, ut 1 ad 638092, 6. Et vis
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                  TM-LM
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                  ſeu
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                  2
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                  PK
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                  in Syzygiis Lunaribus, eſt duplo major. </s>
                  <s>Hæ autem vires,
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                  ſi deſcendatur ad ſuperficiem Terræ, diminuuntur in ratione di­
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                  ſtantiarum a centro Terræ, id eſt, in ratione 60 1/2 ad 1; adeo­
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                  que vis prior in ſuperficie Terræ, eſt ad vim gravitatis, ut 1 ad
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                  38604600. Hac vi Mare deprimitur in locis quæ 90 gradibus diſtant
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                  a Sole. </s>
                  <s>Vi altera quæ duplo major eſt, Mare elevatur & ſub Sole
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                  & in regione Soli oppoſita. </s>
                  <s>Summa virium eſt ad vim gravitatis
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                  ut 1 ad 12868200. Et quoniam vis eadem eundem ciet motum,
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                  ſive ea deprimat Aquam in regionibus quæ 90 gradibus diſtant à
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                  Sole, ſive elevet eandem in regionibus ſub Sole & Soli oppoſitis,
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                  hæc ſumma erit tota Solis vis ad Mare agitandum; & eundem
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                  habebit effectum ac ſi tota in regionibus ſub Sole & Soli oppo­
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                  ſitis Mare elevaret, in regionibus autem quæ 90 gradibus diſtant
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                  a Sole nil ageret. </s>
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                  <s>Hæc eſt vis Solis ad Mare ciendum in loco quo vis dato, ubi Sol
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                  tam in vertice loci verſatur quam in mediocri ſua diſtantia a
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                  Terra. </s>
                  <s>In aliis Solis poſitionibus vis ad Mare accollendum, eſt
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                  ut ſinus verſus duplæ altitudinis Solis ſupra horizontem loci di­
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                  recte & cubus diſtantiæ Solis a Terra inverſe. </s>
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                  <s>
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                  Corol.
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                  Cum vis centrifuga partium Terræ à diurno Terræ motu
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                  oriunda, quæ eſt ad vim gravitatis ut 1 ad 289, efficiat ut alti-</s>
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