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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000144">
                <pb pagenum="30" xlink:href="010/01/038.jpg"/>
                <arrow.to.target n="marg30"/>
                <lb/>
              ma aqueum imminuitur, pondus eius quòd prius ſu­
                <lb/>
              perabat grauitatem ligni BD, tandem poſt
                <expan abbr="continuã">continuam</expan>
                <lb/>
              ponderis aquæ
                <expan abbr="diminutionẽ">diminutionem</expan>
              reddetur præcisè æqua­
                <lb/>
              le ponderi cylindri lignei BD, & tunc coniunctis
                <lb/>
              centris grauitatum eorum à rectą
                <lb/>
                <figure id="id.010.01.038.1.jpg" xlink:href="010/01/038/1.jpg"/>
                <lb/>
              PO hæc quidem bifariàm ſecabi­
                <lb/>
              tur in termino Q &
                <expan abbr="ibidẽ">ibidem</expan>
              erit eius
                <lb/>
              centrum, atque fulcimentum ha­
                <lb/>
              bebitque pondus ligni BD ad
                <expan abbr="põ-dus">pon­
                  <lb/>
                dus</expan>
              aquæ GD ſibi æquale
                <expan abbr="eamdẽ">eamdem</expan>
                <lb/>
              proportionem, quam habet reciprocè PQ ad QO, &
                <lb/>
              proindè centrum grauitatis commune Y incidet præ­
                <lb/>
              cisè in centro ſeù fulcimento libræ
                <expan abbr="q.">que</expan>
              igitur æquili­
                <lb/>
              bratis prædictis ponderibus libra quieſcet, nec priſ­
                <lb/>
              ma ligneum BD vlteriùs
                <expan abbr="aſcẽdet">aſcendet</expan>
              ,
                <expan abbr="neq;">neque</expan>
              denuò
                <expan abbr="deorsũ">deorsum</expan>
                <lb/>
              decidet niſi ex accidenti ratione impetus acquiſiti. </s>
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            <p type="margin">
              <s id="s.000145">
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              Cap. 2. de
                <lb/>
              momentis
                <lb/>
              grauium in
                <lb/>
              fluido inna­
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              tantium.</s>
            </p>
            <p type="main">
              <s id="s.000146">Hinc patet quòd quando primò lignum BD exur­
                <lb/>
              gere incipit ſupra aquæ libellam RX tunc continen­
                <lb/>
              ter magis ac magis centrum communis grauitatis Y
                <lb/>
              motu obliquo, & curuo
                <expan abbr="aſcẽdit">aſcendit</expan>
              quòuſque coniunga­
                <lb/>
              tur cum fulcimento Q libræ PO ſursùm tranſlatę,
                <lb/>
              non ſecùs, ac in ſiphone aqua eleuata in vno eius bra­
                <lb/>
              chio deſcendendo perducit centrum grauitatis eius
                <lb/>
              per curuam lineam parabolicam, vt dictum eſt; con­
                <lb/>
              cipi ergo debet ſipho inæqualium brachiorum
                <expan abbr="quãdo">quando</expan>
                <lb/>
              primum baſis ſuprema AB ligni attingit aquæ libel­
                <lb/>
              lam, & quia tunc exceſſus grauitatis ſpecificæ aquæ
                <lb/>
              AH ſupra pondus ligni BD perindè agit ac ſi aliud
                <lb/>
              fluidum æquè graue ſpecie ligno ipſi BD & maioris </s>
            </p>
          </chap>
        </body>
      </text>
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