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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001299">
                <pb pagenum="252" xlink:href="010/01/260.jpg"/>
                <arrow.to.target n="marg336"/>
                <lb/>
              culis, ſed pluribus ſatis equinis à quibus eius gra­
                <lb/>
              uitas in aqua non alteratur ſaltem differentia ſenſibi­
                <lb/>
              li; poterit ergò ſumi additamentum ponderis F ac ſi
                <lb/>
              augeret craſſitiem pilæ
                <expan abbr="plũbeæ">plumbeæ</expan>
              BC; ſit ergo GE pon­
                <lb/>
              dus totius pilæ BACL vnà cum pondere adiuncto F
                <lb/>
              in aere trutinato; GH verò ſit pondus eiuſdem ag­
                <lb/>
              gregati BALCF intra
                <expan abbr="aquã">aquam</expan>
              examinatum. </s>
              <s id="s.001300">quia verò,
                <lb/>
                <arrow.to.target n="marg337"/>
                <lb/>
              ex Archimede, pondus corporis intra aquam demerſi
                <lb/>
              imminuitur pro quantitate
                <expan abbr="põderis">ponderis</expan>
              molis aquæ quæ
                <lb/>
              æqualis ſit integro corpori demerſo, igitur differen­
                <lb/>
              tia HE erit pondus molis aquæ PQ, quæ æqualis ſit
                <lb/>
              corpori demerſo BALCF. poſtea pilam plumbeam
                <lb/>
              BC eodem modo clauſam violentèr malleo contudi,
                <lb/>
              vt ad minus ſpatium BLC redigeretur;
                <expan abbr="manifeſtũ">manifeſtum</expan>
                <lb/>
              eſt conſtipatum reſtrictumque ſuiſſe aerem incluſum
                <lb/>
              vt nimirùm portio aeris A incluſa ſit in eodem ſpa­
                <lb/>
              tio, quod occupabat reliqua aeris portio L. denuò
                <lb/>
              igitur pilam plumbeam contuſam BLCF ponderaui
                <lb/>
              in aere, & in aqua, atque in aere pondus eius fuit
                <lb/>
              GN maius, quàm GE, eius verò pondus in aqua fuit
                <lb/>
              GM, quaproptèr ponderum differentia MN erit gra­
                <lb/>
              uitas molis aquæ RS quæ æqualis ſit corpori demer­
                <lb/>
              ſo BLCF, & ſecetur EO æqualis MN. </s>
              <s id="s.001301">Quia verò aer
                <lb/>
              AL in ipſomet aere
                <expan abbr="eiuſdẽ">eiuſdem</expan>
              grauitatis nil grauitat ob
                <lb/>
              æquilibrium, igitur pondus GE tribui debet plum­
                <lb/>
              bo BCF, cùm verò pila contuſa in aere magis graui­
                <lb/>
              tet pro menſura nimirùm GN, tunc quoque tota gra­
                <lb/>
              uitas GE plumbo eidem tribui debet, at exceſſus
                <lb/>
              grauitatis EN nullo pacto tribui poteſt portioni ae-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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