Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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habet, quam lignea moles ABC ad molem HIK. po
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natur leuitas, aut vis
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eleuãs
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N, quæ habeat ad R
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quã-libet
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libet</
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proportionem commenſurabilem ex inſinitis,
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quæ proponi poſſunt pariterque fiat moles BM ex
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eodem ligno conſtans quæ ad HIK ſe habeat vt N
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ad R. mani feſtum eſt, quòd quotieſcumque lignum
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BM æquatur ligno ABC, runc paritèr vis leuitatis N
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æqualis erit ipſi S (eò quòd moles æquales eiuſdem̨
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ligni ſursùm æquali vi leuitatis impellunt) &
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quo-tieſcũque
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tieſcunque</
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ligni moles BM maior fuerit, quàm ABC
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ſemper leuitas N maior erit leuitate S, & quando li
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gnum BM minus fuerit, quàm ABC, erit quoque le
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uitas N minor, quàm S, & habent BM, HIK, & N &
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R quamcumque proportionalitatem commenſurabi
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lem, igitur (ex noſtro Euclide reſtituto) moles li
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gnea ABC ad molem HIK eamdem proportionem̨
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habebit quam vis leuitatis S, qua nimirùm ABC in
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aqua aſcendit, ad leuitatem R qua corpus HIK ele
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uatur in eodem fluido, quòd fuerat &c. </
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Cap. 4. poſi
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tiuam leui
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tatem noņ
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dari.</
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Lib. 3 prop.
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<
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prædictorum corporum leuium licèt eiuſdem conſi
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ſtentiæ homogeneæ ſint, & eumdem gradum rarita
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tis habeant, alterari poſſe iam dictam proportionali
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tatem, monendus profectò eſt, quod præter Ariſtote
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lis aſſertum, vbi ait, quod
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figuræ non ſunt cauſæ ſimplici
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tèr aſcenſus, vel deſcenſus corporum in fluido, ſed tantum
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modò tardioris, vel celerioris motus
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, idipſum poſtea de
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monſtratum fuit ex Mechanicis principijs à Ghetal
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do, & Galilæo. </
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