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

Table of figures

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              quòd hoc æquilibratur ab æquipondio ipſius E, &
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              proinde F nullam compreſſionem exercet, perinde,
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              ac ſi grauitate omninò careret, quare à quacumque
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              exiliſſima vi ſuſpendi, & ſursùm impelli poterit, ſit­
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              que talis vis ſuſpenſiua, vna pars
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              quarta
                <expan abbr="põderis">ponderis</expan>
              ipſius F, igitur
                <expan abbr="põ-dus">pon­
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                dus</expan>
              quod F exercet, erit tres quar­
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              tæ partes totius ponderis E, igitur
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              non ampliùs fiet æquilibrium, ſed
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              pondus E exercebit quadrantem
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              totius ſui ponderis, & cum hoc
                <expan abbr="cõ-primet">com­
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                primet</expan>
                <expan abbr="ſubiectã">ſubiectam</expan>
              a
                <expan abbr="quã">quam</expan>
              C, & proin­
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              dè eleuare poterit in oppoſito tu­
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              bo ſiphonis aquæ molem BM, cu­
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              ius pondus vna quarta pars ſit
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              ponderis E, vel F. </s>
              <s id="s.001464">Poſteà denuò ſuperaddita cau­
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              fa externa ſursùm F impellente, & ſuſtentante, vt
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              nimirùm remaneat vis comprimens ipſius E immi­
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              nuta, & æqualis medietati ponderis E. </s>
              <s id="s.001465">Manifeſtum̨
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              eſt magis æquilibrium ſuperare graue E, ſcilicèt eius
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              momentum erit æquale dimidio totius eius ponderis
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              E, vel F, proindeque eleuabit duplam aquæ molem
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              in aduerſo tubo vſque ad O, vt nimirùm moles aquæ
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              BO dupla ſit ipſius BM, & ſic vlteriùs adueniente no­
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              ua vi ſuſtentante pondus F ſemper magis diminuetur
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              ipſius F compreſſio, & tantumdèm præcisè creſcet
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              momentum ponderis E, & tantundem augebitur ele­
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              uatio aquæ in tubo BR, quaproptèr conſtat quod à
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              maiori vi ſursùm
                <expan abbr="impellẽte">impellente</expan>
              pondus F neceſſariò ma-</s>
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