Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

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    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1 n="2" type="proposition">
              <pb xlink:href="064/01/021.jpg"/>
              <subchap2 n="2" type="statement">
                <p type="main">
                  <s id="s.000081">Pendula constituere, quorum diuturnita­
                    <lb/>
                  tes vibrationum sint in data ratione.
                    <figure id="id.064.01.021.1.jpg" xlink:href="064/01/021/1.jpg" number="3"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="3" type="proof">
                <p type="main">
                  <s id="s.000082">Data sit proportio diuturnitatum vibratio­
                    <lb/>
                  num, quam volumus esse inter solida A,B;
                    <lb/>
                  & sit ea, quae est inter C, & D; quae est continuo
                    <lb/>
                  eadem,
                    <arrow.to.target n="marg4"/>
                  ,</s>
                </p>
                <p type="margin">
                  <s id="s.000083">
                    <margin.target id="marg4"/>
                  Per pr. huius.</s>
                </p>
                <p type="main">
                  <s id="s.000084">Venanda est longitudo filorum, quibus applicata
                    <lb/>
                  dicta solida producant vibrationes quaesitas.</s>
                </p>
                <p type="main">
                  <s id="s.000085">Fiat L tertia proportionalis ad C, & D,
                    <arrow.to.target n="marg5"/>
                  & fila
                    <lb/>
                  IA, KB fiant inter se ut C ad L,
                    <arrow.to.target n="marg6"/>
                  & erunt
                    <lb/>
                  fila quaesita.</s>
                </p>
                <p type="margin">
                  <s id="s.000086">
                    <margin.target id="marg5"/>
                  Per 11 sexti.</s>
                </p>
                <p type="margin">
                  <s id="s.000087">
                    <margin.target id="marg6"/>
                  Per 12 sexti.</s>
                </p>
                <p type="main">
                  <s id="s.000088">Quoniam ita est IA ad KB ut C ad L per constr.
                    <lb/>
                  erunt C, & D diuturnitates vibrorum pendu­
                    <lb/>
                  lorum AB.
                    <arrow.to.target n="marg7"/>
                  Quod etc</s>
                </p>
                <p type="margin">
                  <s id="s.000089">
                    <margin.target id="marg7"/>
                  Per 3 Supp.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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