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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N, quæ habeat ad R
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libet</expan>
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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tieſcunque</expan>
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. </s>
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Cap. 4. poſi­
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tiuam leui­
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tatem noņ
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dari.</s>
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Lib. 3 prop.
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<s id="s.001007">24.</s>
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<s id="s.001008">Si quis fortè ſuſpicaretur ex figurarum diuerſitate
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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. </s>
<s id="s.001009">attamen incaſu noſtro non requirun-</s>
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