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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qualibus fiſtularum æqualium altitudinum, æqualibus
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velocitatibus fluent; at earum moles eamdem proportio
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nem habebunt, quàm orificia.
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">SInt duæ fiſtulæ AB, & CD eiuſdem altitudinis, ſed
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orificium infimum B minus ſit alterius orificio
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D, atque eodem tempore T fluat
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ex B moles aquæ R, ex D verò ruat
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moles aquæ S; dico eas paribus ve
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locitatibus per fiſtulas excurrere,
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at moles aquæ R ad S
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eãdem
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pro
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portionem habere, quam amplitu
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do foraminis B ad ſpatium forami
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nis D. </
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fiſtularum AB, & CD fluxus aquæ
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æquales velocitates habent; moles verò
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earũ
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æqua
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libus velocitatibus, & eodem tempore per orificią
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inæqualia B, & D fluunt; igitur, vt amplitudo fora
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minis B ad amplitudinem D, ita ſe habet moles aquæ
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R ad molem S. </
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Caſtell. de
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menſura a
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quæ curren
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tis lib. 1.
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axiom. 4.</
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">His præmiſſis vt velocitates quibus corpora eiuſ
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dem grauitatis ſpecificæ aſcendunt, vel deſcendunt
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in fluido, dignoſcere valeamus primo loco accuratiùs
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inquirenda eſt ſtructura, & mechanica operatio ſi
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phonis, & libræ, quam ſolidum cum fluido collatera
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li in quo aſcendit, vel deſcendit, conſtituit. </
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PROP. CCXXV.
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Cylindrus ſolidus cum æquali mole aquæ ambientis libram
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circularem, & ſiphonem tubicum conſtituit, cuius
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orificiũ
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æquale eſt baſi cylindri ſolidi, & libræ fulcimentum est
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