Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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culis, ſed pluribus ſatis equinis à quibus eius gra
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uitas in aqua non alteratur ſaltem differentia ſenſibi
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li; poterit ergò ſumi additamentum ponderis F ac ſi
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augeret craſſitiem pilæ
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abbr
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plũbeæ
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BC; ſit ergo GE pon
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dus totius pilæ BACL vnà cum pondere adiuncto F
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in aere trutinato; GH verò ſit pondus eiuſdem ag
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gregati BALCF intra
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abbr
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aquã
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examinatum. </
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<
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ex Archimede, pondus corporis intra aquam demerſi
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imminuitur pro quantitate
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abbr
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põderis
">ponderis</
expan
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molis aquæ quæ
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æqualis ſit integro corpori demerſo, igitur differen
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tia HE erit pondus molis aquæ PQ, quæ æqualis ſit
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corpori demerſo BALCF. poſtea pilam plumbeam
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BC eodem modo clauſam violentèr malleo contudi,
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vt ad minus ſpatium BLC redigeretur;
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manifeſtũ
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eſt conſtipatum reſtrictumque ſuiſſe aerem incluſum
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vt nimirùm portio aeris A incluſa ſit in eodem ſpa
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tio, quod occupabat reliqua aeris portio L. denuò
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igitur pilam plumbeam contuſam BLCF ponderaui
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in aere, & in aqua, atque in aere pondus eius fuit
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GN maius, quàm GE, eius verò pondus in aqua fuit
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GM, quaproptèr ponderum differentia MN erit gra
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uitas molis aquæ RS quæ æqualis ſit corpori demer
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ſo BLCF, & ſecetur EO æqualis MN. </
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<
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s.001301
">Quia verò aer
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AL in ipſomet aere
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eiuſdẽ
">eiuſdem</
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grauitatis nil grauitat ob
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æquilibrium, igitur pondus GE tribui debet plum
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bo BCF, cùm verò pila contuſa in aere magis graui
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tet pro menſura nimirùm GN, tunc quoque tota gra
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uitas GE plumbo eidem tribui debet, at exceſſus
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grauitatis EN nullo pacto tribui poteſt portioni ae-</
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