Baliani, Giovanni Battista, De motu naturali gravium solidorum, 1638

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    <archimedes>
      <text>
        <body>
          <pb xlink:href="076/01/013.jpg"/>
          <chap>
            <p type="head">
              <s id="s.000068">PROPOSITIO II. PROBLEMA PRIMUM. </s>
            </p>
            <subchap1>
              <p>
                <s id="s.000069">Pendula constituere, quorum diuturnitates vibra-
                  <lb/>
                tionum sint in data ratione.
                  <lb/>
                </s>
              </p>
            </subchap1>
            <p>
              <s id="s.000070">Data sit proportio diuturnitatum vibrationum, quam
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              volumus esse inter solida A,B; & sit ea, quae est inter
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              C, & D; quae est continuo eadem,
                <arrow.to.target n="marg4"/>
              a.
                <lb/>
              </s>
            </p>
            <p>
              <s id="s.000071"> Venanda est longitudo filorum, quibus applicata dicta solida
                <lb/>
              producant vibrationes quaesitas. </s>
            </p>
            <p type="margin">
              <s id="s.000072">
                <margin.target id="marg4"/>
              Per pr.
                <lb/>
              hujus.</s>
            </p>
            <p>
              <s id="s.000073">Sint E F numeri mensurantes proportionem, quae est inter C
                <lb/>
              & D, quorum quadrati numeri G & H, Fila IA, KB
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              fiant inter se ut G, ad H, & erunt fila quaesita, quibus si
                <lb/>
              applicentur solida A, B, producentur diuturnitates vibra-
                <lb/>
              tionum quaesita.
                <lb/>
              </s>
            </p>
            <p>
              <s id="s.000074">Quoniam ita est IA, ad KB, ut quadratum G numeri me-
                <lb/>
              tientis C, ad quadratum H numeri metientis D, erunt C, &
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              D diuturnitates vibrationum pendulorum A, & B
                <arrow.to.target n="marg5"/>
              ; &
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              proinde in ratione data. </s>
              <s id="s.000075">Quod faciendum fuit.
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              </s>
            </p>
            <p type="margin">
              <s id="s.000076">
                <margin.target id="marg5"/>
              Per 3.
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              suppo.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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