Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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tempore V percurrat ſpatium Z, & fiat IB medią
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proportionalis inter altitudines AB, & DE. dico
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pus</
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T minus eſſe
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V, ſed
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V ad T
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<
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proportionẽ
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habere,
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IB habet ad DE; fiat vel in
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telligatur figura GBC æquè alta, ac eſt DEF
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que</
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materiei habens
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eãdẽ
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baſim BC, hac lege vt mo
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les ABC ad GBC eamdem
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proportionẽ
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habeat, quam
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altitudo AB ad GB, ſitque Y tempus, quo GBC ſur
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ſum infra aquam aſcendendo percurrit idem ſpatium
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X. quoniam ſunt duo folida homogenea ABC, & GB
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C eamdem baſim BC habentia, quorum moles eam
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dem proportionem habent, quam altitudo AB ad G
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B, ſeù ad DE, & ſimiliter poſita ſunt dum aſcendunt
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per ſpatia æqualia X, X; igitur tempus T, quo ABC
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pertranſit ſpatium X ad tempus Y, quo GBC idipſum
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ſpatium percurrit, eamdem proportionem habet,
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quã
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DE ad IB. poſtea quia ſunt duo alia ſolida homogenea
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æquè alta GBC, & DEF quorum baſes planæ BC, &
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EF eamdem proportionem habent, quam moles eo
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rum, ergo tempora Y, & V, quibus in eodem fluido
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aqueo aſcendendo percurrunt ſpatia æqualia X, & Z
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parùm inter ſe differunt, eritque tempus V minus
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quã
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Y, ſed maiorem proportionem ad ipſum habet, quàm
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DE ad IB, ac proindè tempus V maius erit, quàm T,
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& ideò celeriùs aſcendet ABC, quàm DEF, ſed iņ
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minori proportione, quam habet IB ad DE, idemque
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concludetur in deſcenſu, quod erat &c. </
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