Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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tubicos æquè craſſos, & deſcendunt cylindri AC, &
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DF; ergo (ex prop. 223) tempus V ad tempus T e
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rit vt altitudo GB ad DE, quod erat &c. </
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Cap. 11. gra
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uia in fluido
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velocitati
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bus inæqua
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libus ferri
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debere.</
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PROP. CCXXVIII.
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Iiſdem datis, ſi aſcenſus, vel deſcenſus fiant æqualibus
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tẽ-poribus
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poribus</
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, ſpatia ab eis exacta habebunt ſubduplicatam
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proportionem altitudinum.
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">EOdem tempore T primo ſolidum AC aſcenden
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do percurrat ſpatium X, atque
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DF per
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tranſeat ſpatium Z; dico, quod ſpatium X ad Z eam
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dem proportionem habebit, quam
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GB ad DE; quia eodem tempore T
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per orificium ſiphonis
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ambiẽtis
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cy
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lindrum AC cuius foramen æquale
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eſt baſi BC, defluit cylindrus aqueus
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cuius baſis æqualis eſt ipſi BC, alti
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tudo verò X, quantum ſcilicèt
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aſcẽ-dit
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dit</
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prædictus cylindrus, atque tem
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pore T per ſiphonem
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ambiẽtem
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cy
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lindrum DF, cuius foramen æquale eſt EF, ſeu BC,
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defluit cylindrus aqueus ſub eadem baſi, & altitudi
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ne Z contentus; igitur moles aquæ defluxa ex priori
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cylindro altiori ad molem aquæ egreſſam ex minori
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cylindro, ſcilicèt altitudo X ad Z ſubduplicatam̨
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proportionẽ
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habebit altitudinis AB ad DE, & proin
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de ſpatium X aſcenſus cylindri AC ad ſpatium Z ele
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uationis cylindri DF eodem tempore T eamdem pro
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portionem habet, quam altitudo GB ad DE; quod
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erat &c. </
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