Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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igitur Cometas in Sectionibus Conicis umbilicos in centro Solis
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habentibus moveri, & radiis ad Solem ductis areas temporibus
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proportionales deſcribere. </
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<
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>Ex hiſce vero Phænomenis manife
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ſtum eſt & Mathematice comprobatur, vires illas, quibus Cometæ
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retinentur in orbitis ſuis, reſpicere Solem & eſſe reciproce ut qua
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drata diſtantiarum ab ipſius centro. </
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<
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>Gravitant itaque Cometæ
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in Solem: atque adeo Solis vis attractiva non tantum ad corpora
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Planetarum in datis diſtantiis & in eodem fere plano collocata,
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ſed etiam ad Cometas in diverſiſſimis Cælorum regionibus & in
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diverſiſſimis diſtantiis poſitos pertingit. </
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<
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>Hæc igitur eſt natura
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corporum gravitantium, ut vires ſuas edant ad omnes diſtantias in
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omnia corpora gravitantia. </
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>Inde vero ſequitur, Planetas & Co
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metas univerſos ſe mutuo trahere, & in ſe mutuo graves eſſe:
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quod etiam confirmatur ex perturbatione Jovis & Saturni, Aſtro
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nomis non incognita, & ab actionibus horum Planetarum in ſe in
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vicem oriunda; quin & ex motu illo lentiſſimo Apſidum, qui ſu
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pra memoratus eſt, quique a cauſa conſimili proficiſcitur. </
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<
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>Eo demum pervenimus ut dicendum ſit, & Terram & Solem &
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corpora omnia cæleſtia, quæ Solem comitantur, ſe mutuo attrahere. </
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Singulorum ergo particulæ quæque minimæ vires ſuas attractivas
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habebunt, pro quantitate materiæ pollentes; quemadmodum ſu
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pra de Terreſtribus oſtenſum eſt. </
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<
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>In diverſis autem diſtantiis,
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erunt & harum vires in duplicata ratione diſtantiarum reciproce:
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nam ex particulis hac lege trahentibus componi debere Globos
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eadem lege trahentes, Mathematice demonſtratur. </
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>Concluſiones præcedentes huic innituntur Axiomati, quod a
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nullis non recipitur Philoſophis; Effectuum ſcilicet ejuſdem ge
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neris, quorum nempe quæ cognoſcuntur proprietates eædem ſunt,
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eaſdem eſſe cauſas & eaſdem eſſe proprietates quæ nondum cog
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noſcuntur. </
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<
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>Quis enim dubitat, ſi Gravitas ſit cauſa deſcenſus
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Lapidis in
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Europa,
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quin eadem ſit cauſa deſcenſus in
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America?
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Si Gravitas mutua fuerit inter Lapidem & Terram in
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Europa
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;
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quis negabit mutuam eſſe in
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America?
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Si vis attractiva Lapidis
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& Terræ componatur, in
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Europa,
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ex viribus attractivis partium;
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quis negabit ſimilem eſſe compoſitionem in
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America?
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Si attractio
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Terræ ad omnia corporum genera & ad omnes diſtantias propa
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getur in
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Europa
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; quidni pariter propagari dicamus in
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America?
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In hac Regula fundatur omnis Philoſophia: quippe qua ſublata
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nihil affirmare poſſimus de Univerſis. </
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<
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>Conſtitutio rerum ſingula
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rum innoteſcit per Obſervationes & Experimenta: inde vero non </
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