Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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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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Cap. 2. pr.
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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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PROP. CCXXXIV.
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Si duo ſiphones ex directis æquè altis, & contiguis fiſtulis
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compoſiti fuerint, & in vnoquoque eorum duæ collatera
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les fistulæ æquales ſint inter ſe, atque in ſinistris
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ſiphonũ
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fiſtulis ponantur duo fluidi cylindruli æquè alti leuiores,
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vel grauiores aqua, reſiduæ verò ſiphonum capacitates
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aqua repleantur; aliquantulum tardiùs feretur cylinder
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in ſiphone latiori, quàm in ſtrictiori.
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">SInt duo ſiphones ABCD capaciores quàm PQRS
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æquè alti, quorum fiſtulæ vnius AB, & CD ſint
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æquales, & contiguæ,
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abbr
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pariterq;
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duæ fiſtule PQ, & SF
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ſint æquales,
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cõtiguæque
">contiguæque</
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,
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abbr
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ponãturq;
">ponanturque</
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primo duæ olei
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portiones EF, & KY æquè altæ, & proindè latitu
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dinibus fiſtularum proportionales, reliquæ verò
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ſiphonum capacitates aqua repleantur; dico, quod
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oleum EF parùm tardiùs aſcendet, quàm KY. ſe
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centur è regione, & in eiſdem planis horizonta
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libus duæ aquæ portiones
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FM, & YO, quæ æquales e
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runt olei portionibus EF &
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KY, & eorum centra graui
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tatum coniungantur à rectis
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GH, & TV, quæ bifariam̨
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ſectæ erunt in I, & X, atque
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vt pondus olei EF ad
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põdus
">pondus</
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aquæ FM, velut
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põdus
">pondus</
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olei
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KY ad aquæ pondus YO, ita fiat HL ad LG, nec non
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VZ ad ZT; patet perindè operari, ac premere prædi
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cta fluida, ac ſi in libris radiorum æqualium HG, & </
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