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

Table of figures

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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
                <expan abbr="plũbeæ">plumbeæ</expan>
              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
                <expan abbr="aquã">aquam</expan>
              examinatum. </s>
              <s id="s.001300">quia verò,
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              ex Archimede, pondus corporis intra aquam demerſi
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              imminuitur pro quantitate
                <expan abbr="põderis">ponderis</expan>
              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;
                <expan abbr="manifeſtũ">manifeſtum</expan>
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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. </s>
              <s id="s.001301">Quia verò aer
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              AL in ipſomet aere
                <expan abbr="eiuſdẽ">eiuſdem</expan>
              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-</s>
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