Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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20
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gr.
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11′. </
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>46″, ut 1436 ad 39343 & 4590 ad 489813 conjun
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ctim, id eſt, ut 100 ad 292369. Vires autem quibus Nodi Lu
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narum (ut ſupra explicui) atque adeo quibus puncta Æquinoctia
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lia annuli regrediuntur (id eſt vires 3
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IT, in Fig. </
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403 & 404.)
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ſunt in ſingulis particulis ut diſtantiæ particularum à plano
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QR,
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& his viribus particulæ illæ planum fugiunt; & propterea (per
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Lem. </
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>II.) ſi materia annuli per totam globi ſuperficiem, in mo
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rem figuræ
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PapAPepE,
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ad ſuperiorem illam Terræ partem
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conſtituendam ſpargeretur, vis & efficacia tota particularum om
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nium ad Terram circa quamvis Æquatoris diametrum rotandam,
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atque adeo ad movenda puncta Æquinoctialia, evaderet minor
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quam prius in ratione 2 ad 5. Ideoque annuus Æquinoctiorum
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regreſſus jam eſſet ad 20
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gr.
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11′. </
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fieret 9″. </
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>56′. </
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iv
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DE MUNDI
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SYSTEMATE</
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>Cæterum hic motus, ob inclinationem plani Æquatoris ad pla
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num Eclipticæ, minuendus eſt, idQ.E.I. ratione ſinus 91706 (qui
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ſinus eſt complementi graduum 23 1/2) ad Radium 100000. Qua
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ratione motus iſte jam fiet 9″. </
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iv
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>Hæc eſt annua Præceſſio
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Æquinoctiorum a vi Solis oriunda. </
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>Vis autem Lunæ ad Mare movendum erat ad vim Solis, ut
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4,4815 ad 1 circiter. </
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>Et vis Lunæ ad Æquinoctia movenda, eſt
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ad vim Soiis in eadem proportione. </
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quinoctiorum Præceſſio a vi Lunæ oriunda 40″. </
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iv
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; ac tota
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Præceſſio annua a vi utraque oriunda 50″. </
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>00′. </
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iv
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. </
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tus cum Phænomenis congruit. </
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>Nam Præceſſio Æquinoctiorum
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ex Obſervationibus Aſtronomicis eſt minutorum ſecundorum plus
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minus quinquaginta. </
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<
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>Si altitudo Terræ ad Æquatorem ſuperet altitudinem ejus ad
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Polos, milliaribus pluribus quam 17 1/6, materia ejus rarior erit ad
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circumferentiam quam ad centrum: & Præceſſio Æquinoctiorum
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ob altitudinem illam augeri, ob raritatem diminui debet. </
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<
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>Deſcripſimus jam Syſtema Solis, Terræ, Lunæ, & Planetarum:
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ſupereſt ut de Cometis nonnulla adjiciantur. </
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