Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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PROPOSITIO V. THEOREMA V.
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LIBER
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TERTIUS.</
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Planetas Circumjoviales gravitare in Jovem, Circumſaturnios in
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Saturnum, & Circumſolares in Solem, & vi gravitatis ſuæ
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retrahi ſemper à motibus rectilineis, & in Orbibus curvili
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neis retineri.
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>Nam revolutiones Planetarum Circumjovialium circa Jovem, Cir
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cumſaturniorum circa Saturnum, & Mercurii ac Veneris reliquo
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rumque Circumſolarium circa Solem ſunt Phænomena ejuſdem ge
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neris cum revolutione Lunæ circa Terram; & propterea per
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Reg. 11. à cauſis ejuſdem generis dependent: præſertim cum de
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monſtratum ſit quod vires, à quibus revolutiones illæ dependent,
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reſpiciant centra Jovis, Saturni ac Solis, & recedendo à Jove, Sa
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turno & Sole decreſcant eadem ratione ac lege, qua vis gravitatis
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decreſcit in receſſu à Terra.
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Corol.
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1. Gravitas igitur datur in Planetas univerſos. </
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nerem, Mercurium, cæteroſque eſſe corpora ejuſdem generis cum
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Jove & Saturno, nemo dubitat. </
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tus Legem tertiam) mutua ſit, Jupiter in Satellites ſuos omnes,
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Saturnus in ſuos, TerraQ.E.I. Lunam, & Sol in Planetas omnes
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primarios gravitabit.
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Corol.
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2. Gravitatem, quæ Planetam unumquemque reſpicit, eſſe
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reciproce ut quadratum diſtantiæ loeorum ab ipſius centro.
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Corol.
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3. Graves ſunt Planetæ omnes in ſe mutuo per Corol. 1.
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& 2. Et hinc Jupiter & Saturnus prope conjunctionem ſe invicem
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attrahendo, ſenſibiliter perturbant motus mutuos, Sol perturbat
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motus Lunares, Sol & Luna perturbant Mare noſtrum, ut in
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ſequentibus explicabitur.
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PROPOSITIO VI. THEOREMA VI.
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Corpora omnia in Planetas ſingulos gravitare, & pondera eorum
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in eundem quemvis Planetam, paribus diſtantiis à centro Pla
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netæ, proportionalia eſſe quantitati materiæ in ſingulis.
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>Deſcenſus gravium omnium in Terram (dempta ſaltem inæquali
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retardatione quæ ex Aeris perexigua reſiſtentia oritur) æqualibus
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