Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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progrediente, centrum Mundi quoque movebitur contra Hy
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potheſin.
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PROPOSITIO XII. THEOREMA XII.
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DE MUNDI
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SYSTEMATE</
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Solem motu perpetuo agitari, ſed nunquam longe recedere a com
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muni gravitatis centro Planetarum omnium.
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>Nam cum (per Corol. 2. Prop. VIII.) materia in Sole ſit ad
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materiam in Jove ut 1033 ad 1, & diſtantia Jovis a Sole ſit ad
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ſemidiametrum Solis in ratione paulo majore; incidet commune
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centrum gravitatis Jovis & Solis in punctum paulo ſupra ſuper
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ficiem Solis. </
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>Eodem argumento cum materia in Sole ſit ad ma
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teriam in Saturno ut 2411 ad 1, & diſtantia Saturni a Sole ſit ad
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ſemidiametrum Solis in ratione paulo minore: incidet commune
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centrum gravitatis Saturni & Solis in punctum paulo infra ſuper
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ficiem Solis. </
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>Et ejuſdem calculi veſtigiis inſiſtendo ſi Terra &
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Planetæ omnes ex una Solis parte conſiſterent, commune omnium
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centrum gravitatis vix integra Solis diametro a centro Solis di
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ſtaret. </
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>Aliis in caſibus diſtantia centrorum ſemper minor eſt.
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Et propterea cum centrum illud gravitatis perpetuo quieſcit, Sol
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pro vario Planetarum ſitu in omnes partes movebitur, ſed à cen
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tro illo nunquam longe recedet.
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Corol.
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Hinc commune gravitatis centrum Terræ, Solis & Pla
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netarum omnium pro centro Mundi habendum eſt. </
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Terra, Sol & Planetæ omnes gravitent in ſe mutuo, & propte
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rea, pro vi gravitatis ſuæ, ſecundum leges motus perpetuo agi
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tentur: perſpicuum eſt quod horum centra mobilia pro Mundi
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centro quieſcente haberi nequeunt. </
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>Si corpus illud in centro
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locandum eſſet in quod corpora omnia maxime gravitant (uti
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vulgi eſt opinio) privilegium iſtud concedendum eſſet Soli.
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Cum autem Sol moveatur, eligendum erit punctum quieſcens,
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a quo centrum Solis quam minime diſcedit, & a quo idem ad
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huc minus diſcederet, ſi modo Sol denſior eſſet & major, ut
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minus moveretur.
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