Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  ram a novilunio vel plenilunio plus minus duodecimam, adeoque
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                  incidunt in horam a novilunio vel plenilunio plus minus quadra­
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                  geſimam tertiam. </s>
                  <s>Incidunt vero in hoc portu in horam ſepti­
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                  mam circiter ab appulſu Lunæ ad meridianum loci; ideoque pro­
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                  xime ſequuntur appulſum Lunæ ad meridianum, ubi Luna diſtat a
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                  Sole vel ab oppoſitione Solis gradibus plus minus octodecim vel
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                  novendecim in conſequentia. </s>
                  <s>Æſtas & Hyems maxime vigent,
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                  non in ipſis Solſtitiis, ſed ubi Sol diſtat a Solſtitiis decima circi­
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                  ter parte totius circuitus, ſeu gradibus plus minus 36 vel 37. Et
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                  ſimiliter maximus Æſtus maris oritur ab appulſu Lunæ ad meri­
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                  dianum loci, ubi Luna diſtat a Sole decima circiter parte motus
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                  totius ab Æſtu ad Æſtum. </s>
                  <s>Sit diſtantia illa graduum plus mi­
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                  nus 18 1/2. Et vis Solis in hac diſtantia Lunæ a Syzygiis & Qua­
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                  draturis, minor erit ad augendum & ad minuendum motum ma­
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                  ris a vi Lunæ oriundum, quam in ipſis Syzygiis & Quadraturis, in
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                  ratione radii ad ſinum complementi diſtantiæ hujus duplicatæ ſeu
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                  anguli graduum 37, hoc eſt, in ratione 10000000 ad 7986355.
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                  IdeoQ.E.I. analogia ſuperiore pro S ſcribi debet 0, 7986355 S. </s>
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                  DE MUNDI
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                  SYSTEMATE</s>
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                  <s>Sed & vis Lunæ in Quadraturis, ob declinationem Lunæ ab
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                  Æquatore, diminui debet. </s>
                  <s>Nam Luna in Quadraturis, vel potius
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                  in gradu 18 1/2 poſt Quadraturas, in declinatione graduum plus
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                  minus 22. 13′ verſatur. </s>
                  <s>Et Luminaris ab Æquatore declinantis
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                  vis ad Mare movendum diminuitur in duplicata ratione ſinus
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                  complementi declinationis quamproxime. </s>
                  <s>Et propterea vis
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                  Lunæ in his Quadraturis eſt tantum 0,8570327 L. </s>
                  <s>Eſt igitur
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                  L+0,7986355 S ad 0,8570327 L-0,7986355 S ut 9 ad 5. </s>
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                  <s>Præterea diametri Orbis in quo Luna abſque Eccentricitate mo­
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                  veri deberet, ſunt ad invicem ut 69 ad 70; ideoQ.E.D.ſtantia
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                  Lunæ a Terra in Syzygiis eſt ad diſtantiam ejus in Quadraturis,
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                  ut 69 ad 70, cæteris paribus. </s>
                  <s>Et diſtantiæ ejus in gradu 18 1/2 a
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                  Syzygiis ubi Æſtus maximus generatur, & in gradu 18 1/2 a Qua­
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                  draturis ubi Æſtus minimus generatur, ſunt ad mediocrem ejus
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                  diſtantiam, ut 69,098747 & 69,897345 ad 69 1/2. Vires autem Lu­
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                  næ ad Mare movendum ſunt in triplicata ratione diſtantiarum in­
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                  verſe, ideoque vires in maxima & minima harum diſtantiarum ſunt
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                  ad vim in mediocri diſtantia, ut 0,9830427 & 1,017522 ad 1. Unde fit
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                  1,017522 L+0,7986355 S ad 0,9830427X0,8570327 L-0,7986355 S
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                  ut 9 ad 5. Et S ad L ut 1 ad 4,4815. Itaque cum vis Solis fit
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                  ad vim gravitatis ut 1 ad 12868200, vis Lunæ erit ad vim gravi­
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                  tatis ut 1 ad 2871400. </s>
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