Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
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361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
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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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ABC, & DEF, quorum altitudines AB, DE æqua
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les ſint, baſis verò BC maior ſit, quàm EF, &
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in
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fra aquam demerſi in vaſis amplis aſ
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cendendo percurrant ſpatia æqualia
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X & Z, AC
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quidẽ
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tempore T, & DF
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tempore V: dico quòd tempus T pa
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rùm maius erit quàm V. quia dum in
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aqua eleuantur ſolida AC & DF con
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ſtituunt cum ambiente
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cõtigua
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aqua
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duos
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ſipũones
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excauatos, æquè altos, </
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quorum fiſtulæ inæquales ſunt, nam̨
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craſſities fluentis aquæ circa cylindrum AC æqualis
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eſt baſi cylindri BC, pariterque craſſities fluentis a
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quæ circa cylindrum DF æqualis eſt craſſitiei EF:
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erũt
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igitur duo ſiphones ex directis, æquè altis, & conti
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guis fiſtulis compoſiti, & in vnoquoque eorum duæ
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collaterales fiſtulæ æquales ſunt, atque duæ internæ
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ſiphonum fiſtulæ
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occupãtur
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à cylindris AC, & DF ho
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mogeneis, & aqua leuioribus, & æquè altis, ergo pa
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rùm tardiùs aſcendet craſſior cylinder AC, quàm DF,
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ſupponuntur autem aſcendiſſe ſpatia æqualia X & Z
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temporibus T, & V; igitur tempus T maius erit tem
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pore V. ſi verò aſcenſus fiant æqualibus temporibus,
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ſpatium aſcenſus latioris cylindri minus erit ſpatio
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tranſacto à cylindro ſtrictiori: Quia cùm parum tar
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diùs aſcendat cylinder AC quàm DF, ergo æqualibus
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temporibus T & V percurret AC minus ſpatium X
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dum DF maius ſpatium Z pertranſit. </
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