Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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[Figure 171]
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cylindri aqua grauiores, patet non minus ſiphones
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conſtitui, vt in prop. 234 dictum eſt, quare eodem̨
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modo concludetur, quòd cylinder ſtrictior parum ce
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lerius deſcendet quàm latior, quod erat &c. </
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Nõ
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ſecus
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in aſcenſu vel deſcenſu prædictorum cylindrorum̨
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non facilè determinari poteſt menſura exceſſus velo
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citatis cylindri DF ſupra velocitatem cylindri AC,
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quare recurrendum eſt ad experientiam, in qua reue
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ra obſeruatur exceſſus minimus velocitatis in cylin
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dro DF ſupra velocitatem alterius cylindri AC; ſed
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procùl dubio velocitas cylindri DF minorem, quàm
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ſubduplicatam proportionem habere videtur ad ve
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locitatem alterius cylindri AC eius quam habet baſis
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BC ad baſim EF. </
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Prop. 223.</
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Prop. 334.</
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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. CCXXXVI.
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Si duo quælibet ſolida homogenea, & à ſimilibus figuris
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abbr
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cõ-prehenſa
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prehenſa</
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, ſimiliterque poſit a fuerint dum in aqua ferun
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tur, maius celeriùs aſcendet vel deſcendet, quàm minus,
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ſed in minori proportione quàm ſubduplicata
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altitudinũ
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.
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<
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">SInt duo ſolida homogenea pri
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mò aqua leuiora AC, & DF, quo
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rum figuræ ſimiles ſint inter ſe, & in
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vaſis amplis ſemper infra aquam de
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merſa ſimiliter poſita ſint dum
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aſcẽ-dunt
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dunt</
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per ſpatia, primo æqualia X &
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Z, ſcilicèt dum ſursùm feruntur ſem
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per axes eorum, ſint paralleli, & æ
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què inclinati ad planum horizontis,
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atque AC tempore T pertranſeat ſpatium X, & DF </
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