Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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<
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te egrediantur duæ moles aquæ æquales, temporą
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quoque effluxuum erunt inter ſe æqualia; & è
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ſo</
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. </
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<
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aquæ eadem velocitate dilapſæ habuerint quamlibet
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proportionem æquè multiplicem, vel earumdem par
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tium. </
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<
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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. CCXX.
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Si ex æqualibus fistularum orificijs
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tẽporibus
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æqualibus duæ
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aquæ moles defluant inæqualibus velocitatibus, erunt
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aquæ moles proportionales velocitatibus.
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<
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">SInt fiſtulæ AB, & CD, quarum orificia infima B,
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& D ſint æqualia, &
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eorũ
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plana non ſit obliquè
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inclinata ad directionem motus, quo aqua ab eis de
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fluit, ſed eiſdem directionibus perpendiculares ſint,
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(& hoc intelligatur in omnibus ſubſequentibus pro
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poſitionibus), defluat poſtea moles aquæ R ex AB
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velocitate M tempore T, & eodem
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tempore minor moles aquæ S deci
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dat ex CD velocitate N. oſtenden
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dum eſt molem aquæ R ad S
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eamdẽ
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proportionem habere quam velo
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citas M ad N. </
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<
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citas H, & altera moles aquę O, hac
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lege, vt H ipſius N, nec non O alte
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rius S quælibet, & eædem partes
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ſint. </
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<
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id
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">Patet, quòd eodem temporę
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T ex foramine æquali ipſi B velocitate H fluet moles
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aquæ O dum ex D velocitate N fuit aquæ moles S; &
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ſiquidem velocitas H æqualis eſt velocitati M egre-</
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