Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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contentum in vaſe FDE tantæ profunditatis, vt cy
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lindrus AC vniuersè, & perpendicularitèr ad Hori
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zontem mergi poſſit, vt eius baſis non contingat
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fũ-dum
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dum</
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vaſis FDE, atque ſupremus terminus C fluidi li
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bellam contingat. </
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<
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P ſupra verticem cylindri CA, itaut pondus P immi
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neat ſupra fluidi libellam, neque aliqua eius portio
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demergatur. </
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<
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quia exceſſus
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põderis
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R ſupra
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S ad ipſum pondus S maiorem
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<
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abbr
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proportionẽ
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habet quam gra
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uitas P ad pondus cylindri
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ACB, ergò componendo, gra
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uitas R ad S
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abbr
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maiorẽ
">maiorem</
expan
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proportio
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nem habebit quàm duo
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abbr
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põde-ra
">ponde
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ra</
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P, & CAB, ſimul ſumpta, ad
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pondus CAB; verùm grauitas
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molis fluidi M æqualis ſolido AC ad pondus abſolu
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tum eiuſdem ſolidi AC habet eamdem
<
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abbr
="
proportionẽ
">proportionem</
expan
>
,
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quam R ad S, ergò moles fluidi M æqualis ſolido AC
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ad ſolidum idipſum AC, ſeù illius pondus ad graui
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tatem huius habebit maiorem proportionem quàm
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pondera P, & CAB ſimùl ſumpta ad pondus AC, &
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proindè pondus abſolutum molis fluidi M æqualis
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AC maius erit grauitate ipſius P vnà cum ponderę
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cylindri AC. </
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<
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uit ſolidum innatans tunc ſolummodò in fluido quie
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ſcere quando eius pondus abſolutum æquale fuerit
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grauitati molis fluidi ambientis, quæ ſit æqualis por-</
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