Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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T ad V, ita erit moles aquæ R ad S. </
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Ibidem.</
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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. CCXXIII.
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Si duæ fistulæ inæqualiter altæ habuerint orificia æqualia,
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atque ex eis egrediantur moles aquæ æquales, tempora
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effluxuum habebunt ſubduplicatam proportionem reci
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procam altitudinum fistularum.
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">SIt altitudo fiſtulæ AB maior, quàm CD, & eorum
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orificia B, D æqualia, & ex B egrediatur moles
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aquæ R tempore T, ex D verò profluat moles aquæ
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S æqualis ipſi R tempore V, & vt priùs, ſit BE media
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proportionalis inter AB, &
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CD; dico tempus V ad T
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dem</
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proportionem haberę,
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EB ad CD, ſit moles aquæ
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X illa, quæ defluit ab orificio
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D eodem tempore T, igitur
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vt moles aquæ R ad X, ita erit
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altitudo EB ad CD, poſteą
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quia ab eodem oriſicio D fi
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ſtulæ CD exeunt duæ moles
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aqueæ X, & S temporibus T,
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& V, igitur vt
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V ad T, ita ſe habet moles aquæ
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S ad X: ſunt verò moles aquæ R, & S ex hypotheſi,
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æquales, igitur ad eamdem molem X eamdem pro
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portionem habent; eſt verò EB ad CD vt R ad X;
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atque V ad T vt S ad X; igitur altitudo EB ad CD
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dem</
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proportionem habebit, quam tempus V ad T. </
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Prop. 221.</
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Prop. 222.</
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PROP. CCXXIV.
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Duæ moles aquæ eodm tempore egredientes ex orificijs inæ-
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