Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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fiſtula putei, & hæc eſt ratio quare in anguſtiſſimis fi
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ſtulis, & canalibus tenuiſſimis aqua nedùm tardè de
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fluit, ſed aliquando omninò eius motus, & caſus im
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peditur, vt ſuperiùs declarauimus. </
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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. CCXVIII.
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In eiſdem fiſtulis inæqualitèr ad horizontem inclinatis velo
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citates aquæ fluentis ſubduplicatam proportionem
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,
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non longitudinum, ſed ſublimitatum perpendicularium
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carum.
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">POſtea ſi eædem duæ fiſtulæ inæqualitèr ad hori
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zontem fuerint inclinatæ, fluxus eiuſdem fluidi
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in eis fient velocitatibus ſubduplicatè proportiona
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libus, non quidem longitudinibus earum, ſed vertica
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libus altitudinibus; propterea quod demonſtrarunt
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Galileus, & Torricellius, quòd ſi idem mobile fera
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tur per planum inclinatum, & verticale, itaut ambo
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eamdem eleuationem habeant, ſi tamen
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initiũ
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vtriuſ
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que motus à quiete fiat, in fine vtriuſque deſcenſus,
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acquiret mobile eumdem gradum velocitatis. </
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conſtat, quòd in duabus fiſtulis inæqualitèr ad hori
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zontem inclinatis velocitates quibus idem fluidum̨
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ab infimis orificijs egreditur, correſpondere quidem
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debeant non longitudinibus fiſtularum, ſed earum̨
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eleuationibus. </
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Galil. de mo
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tu grauium
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deſcend. </
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<
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2. ſcol. </
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& Tor. lib. 1.
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prop. 5.</
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PROP. CCXIX.
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Velocitates quibus aqua egreditur ab infimis fiſtularum ori
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ficijs illæ eædem ſunt, quibus eadem aqua intra cauitates
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canalium mouetur.
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