Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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PROPOSITIONES.
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PROPOSITIO I. THEOREMA I.
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DE MUNDI
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SYSTEMATE</
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Vires, quibus Planetæ Circumjoviales perpetuo retrahuntur à me
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tibus rectilineis & in Orbibus ſuis retinentur, reſpicere cen
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trum Jovis, & eſſe reciproce ut quadrata diſtantiarum loco
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rum ab eodem centro.
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>PAtet pars prior Propoſitionis per Phænomenon primum, &
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Propoſitionem ſecundam vel tertiam Libri primi: & pars
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poſterior per Phænomenon primum, & Corollarium ſextum Pro
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poſitionis quartæ ejuſdem Libri.
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>Idem intellige de Planetis qui Saturnum comitantur, per Phæ
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nomenon ſecundum.
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PROPOSITIO II. THEOREMA II.
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Vires, quibus Planetæ primarii perpetuo retrahuntur à motibus
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rectilineis, & in Orbibus ſuis retinentur, reſpicere Solem, &
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eſſe reciproce ut quadrata diſtantiarum ab ipſius centro.
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>Patet pars prior Propoſitionis per Phænomenon quintum, &
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Propoſitionem ſecundam Libri primi: & pars poſterior per Phæ
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nomenon quartum, & Propoſitionem quartam ejuſdem Libri.
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Accuratiſſime autem demonſtratur hæc pars Propoſitionis per
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quietem Apheliorum. </
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>Nam aberratio quam minima à ratione
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duplicata (per Corol. 1. Prop. XLV. Lib. I.) motum Apſidum in
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ſingulis revolutionibus notabilem, in plunibus enormem efficere
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deberet.
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