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

Table of figures

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    <archimedes>
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                <lb/>
              bus obſeruamus à qua præcisè prohibeatur tranſitus
                <lb/>
              fluidi per rimas laterales, poſtea impleatur reliqua
                <lb/>
              pars fiſtulæ AB aqua, & tandèm eadem vitrea fiſtu­
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              la termino I libræ IL radiorum æqualium ſuſpenda­
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              tur, atque ab oppoſito termino eius L pendeat pon­
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              dus M æquale ponderi ipſius vitri AC. videndum̨
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              modò eſt an à ſimplici pondere M ſuſtineri poſſit vi­
                <lb/>
              trea fiſtula AC, & patet non ſufficere, quia in ſipho­
                <lb/>
              ne ACGH pondus cylindri aquei HG æquatur præ­
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              cisè ponderi mercurij BC, cumque pręterea aqua
                <expan abbr="cõ-tenta">con­
                  <lb/>
                tenta</expan>
              in ſpatio fiſtulæ AB ferè æqualis ſit aquæ HG,
                <lb/>
              ergò ſumma aquæ AB, & mercurij BC duplo grauior
                <lb/>
              eſt, quam ſit cylindrus aqueus HG vt nimirùm ſi a­
                <lb/>
              qua HG fuerit vnius libræ erunt mercurius CB, &
                <lb/>
              aqua AB ferè duarum librarum (non conſiderato
                <expan abbr="põ-dere">pon­
                  <lb/>
                dere</expan>
              ipſius vitri AC,) ergò vt fiat æquilibrium de­
                <lb/>
              bet addi ponderi M aliud pondus O, quod ſit æqua­
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              le ponderi aquæ AB, & tunc in infima libra CEG,
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              ſeu ſiphone eſſicitur æquilibrium inter cylindrum a­
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              queum HG, & mercurium CB, in ſuprema verò li­
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              bra IL efficitur æquilibrium inter fiſtulam vitream̨
                <lb/>
              AC, vnà cum aqua AB ex vna parte, & ponderæ M,
                <lb/>
              O ex altera parte. </s>
              <s id="s.001103">Igitur quia reuera mercurius CB
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              non ſuſtinetur à potentia O ſubleuante
                <expan abbr="librã">libram</expan>
                <expan abbr="ſupre-mã">ſupre­
                  <lb/>
                mam</expan>
              , cum nimirùm ſuſtineatur à collaterali aqua HG,
                <lb/>
              eſt impoſſibile fiſtulam vitream AC ſuſtineri à ſo­
                <lb/>
              litario pondere M æquale grauitati ipſius vitri, niſi
                <lb/>
              inſuper addatur alia potentia O, quæ ſuſtineat cy­
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              lindrum aqueum AB æquè graue ferè, ac|eſt mercu­
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              rius CB. </s>
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