Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

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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.</s>
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            <p type="main">
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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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              <s id="s.002450">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
                <expan abbr="eãdem">eandem</expan>
              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. </s>
              <s id="s.002451">Quia ob altitudines æquales
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              fiſtularum AB, & CD fluxus aquæ
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              æquales velocitates habent; moles verò
                <expan abbr="earũ">earum</expan>
              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. </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.</s>
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              <s id="s.002453">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. </s>
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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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              æquale eſt baſi cylindri ſolidi, & libræ fulcimentum est
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