Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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[Figure 171]
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Cap. 11. gra
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velocitati
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bus inæqua
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Prop. 223.</
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Prop 235.</
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Cap. 11. gra
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bus inæqua
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PROP. CCXXXVII.
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Iiſdem poſitis ſi aſcenſus vel deſcenſus fiant æqualibus tem
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poribus, ſpatium ex actum à maiori ſolido maius erit ſpa
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tio tranſacto à ſolido minori, ſed ad
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habebit
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proportionem, quàm ſit ſubduplicata altitudinem.
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re T, atque DEF percurrat ſpatium Z eodem̨
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tempore T. dico ſpatium X maius
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eſſe, quàm Z, ſed minorem propor
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tionem ad ipſum habere, quàm ſit
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ſubduplicata altitudinis AB ad D
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E; quia velocitates ſolidorum AB
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C, & DEF eamdem proportionem
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habent, quam ſpatia X, & Z eodem
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tempore exacta, ergo patet propo
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ſitum. </
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ſi vt experimentis expenderem ſuperiorem theori
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am, ſed exactam præciſionem nulla diligentia, aut
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labore adhibito aſſequi potui, hocque pendet ex
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quamplurimis difficultatibus, ſi enim cylindrulorum
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in fiſtulis vitreis aqua plenis aſcenſus, vel deſcen
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ſus, obſeruentur, tunc varietates inſignes contin
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gunt, quæ procùl dubio
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à vario contactu,
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vel ab inæquali diſtantia cylindrorum à ſuperficię
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interna vitri, quæ liberè aquam interceptam fluere
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non ſinit. </
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cèt infimæ partes cylindrorum plumbo, vel alio pon
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dere grauiores reddantur iuxtà proportionem altitu-</
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