Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  Prop. </s>
                  <s>LXVI,) quam in ipſius Aphelio. </s>
                  <s>Atque hæ ſunt inæquali­
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                  tates inſigniores ab Aſtronomis notatæ. </s>
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                  LIBER
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                  TERTIUS.</s>
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                  <s>Sunt etiam aliæ quædam nondum obſervatæ inæqualitates, qui­
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                  bus motus Lunares adeo perturbantur, ut nulla hactenus lege ad
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                  Regulam aliquam certam reduci potuerint. </s>
                  <s>Velocitates enim ſeu
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                  motus horarii Apogæi & Nodorum Lunæ, & eorundem æquati­
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                  ones, ut & differentia inter Eccentricitatem maximam in Syzygiis
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                  & minimam in Quadraturis, & inæqualitas quæ Variatio dicitur,
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                  augentur ac diminuuntur annuatim (per Corol. </s>
                  <s>14. Prop. </s>
                  <s>LXVI.)
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                  in triplicata ratione diametri apparentis Solaris. </s>
                  <s>Et Variatio præ­
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                  terea augetur vel diminuitur in duplicata ratione temporis in­
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                  ter quadraturas quam proxime (per Corol. </s>
                  <s>1. & 2. Lem. </s>
                  <s>X. &
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                  Corol. </s>
                  <s>16. Prop. </s>
                  <s>LXVI. Lib. </s>
                  <s>I.) Sed hæc inæqualitas in calculo
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                  Aſtronomico, ad Proſthaphæreſin Lunæ referri ſolet, & cum ea
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                  confundi. </s>
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                  PROPOSITIO XXIII. PROBLEMA V.
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                  Motus inæquales Satellitum Jovis & Saturni à motibus Luna­
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                  ribus derivare.
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                  </s>
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                  <s>Ex motibus Lunæ noſtræ motus analogi Lunarum ſeu Satelli­
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                  tum Jovis ſic derivantur. </s>
                  <s>Motus medius Nodorum Satellitis ex­
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                  timi Jovialis, eſt ad motum medium Nodorum Lunæ noſtræ, in ra­
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                  tione compoſita ex ratione duplicata temporis periodici Terræ
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                  circa Solem ad tempus periodicum Jovis circa Solem, & ratione
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                  ſimplici temporis periodici Satellitis circa Jovem ad tempus perio­
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                  dicum Lunæ circa Terram: (per Corol. </s>
                  <s>16. Prop. </s>
                  <s>LXVI.) adeoque
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                  annis centum conficit Nodus iſte 8
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                  gr.
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                  24′. </s>
                  <s>in antecedentia. </s>
                  <s>Motus
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                  medii Nodorum Satellitum interiorum ſunt ad motum hujus, ut
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                  illorum tempora periodica ad tempus periodicum hujus, per idem
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                  Corollarium, & inde dantur. </s>
                  <s>Motus autem Augis Satellitis cu­
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                  juſQ.E.I. conſequentia, eſt ad motum Nodorum ipſius in antece­
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                  dentia, ut motus Apogæi Lunæ noſtræ ad hujus motum Nodo­
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                  rum, (per idem Corol.) & inde datur. </s>
                  <s>Diminui tamen debet
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                  motus Augis ſic inventus in ratione 5 ad 9 vel 1 ad 2 circiter, ob
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                  cauſam quam hic exponere non vacat. </s>
                  <s>Æquationes maximæ No­
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                  dorum & Augis Satellitis cujuſque fere ſunt ad æquationes maxi­
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                  mas Nodorum & Augis Lunæ reſpective, ut motus Nodorum &
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                  Augis Satellitum tempore unius revolutionis æquationum prio-</s>
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