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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/028.jpg"/>
            <subchap1 n="8" type="proposition">
              <p type="head">
                <s id="s.000143">PROPOSITIO VIII. PROB. IV.</s>
              </p>
              <subchap2 n="8" type="statement">
                <p type="main">
                  <s id="s.000144">Dato plano inclinato, super quo per spatium
                    <lb/>
                  datum grave moveatur in nota diuturni­
                    <lb/>
                  tate, determinare in eodem plano spatium
                    <lb/>
                  per quod dictum grave moveatur in qua­
                    <lb/>
                  vis alia diuturnitate data.
                    <figure id="id.064.01.028.1.jpg" xlink:href="064/01/028/1.jpg" number="9"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="9" type="proof">
                <p type="main">
                  <s id="s.000145">Sit A diuturnitas gravis B, dum descendit in
                    <lb/>
                  C super plano inclinato BC, & data diu­
                    <lb/>
                  turnitas D.</s>
                </p>
                <p type="main">
                  <s id="s.000146">Praescribendum est aliud spatium in eodem pla­
                    <lb/>
                  no BC, per quod idem grave pertranseat in
                    <lb/>
                  diuturnitate D.</s>
                </p>
                <p type="main">
                  <s id="s.000147">Fiat H tertia proportionalis ad A & D, & ut
                    <lb/>
                  H ad A fiat BG ad BC, Dico BG esse spa­
                    <lb/>
                  tium quaesitum.</s>
                </p>
                <p type="main">
                  <s id="s.000148">Quoniam BC, & BG sunt in duplicata ratione
                    <lb/>
                  datorum temporum A, D per constructionem,
                    <lb/>
                  per ipsa cadet grave B diuturnitatibus A, D
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                  datis
                    <arrow.to.target n="marg25"/>
                  , ergo reperta est BG quaesita. </s>
                  <s id="s.000149">Quod
                    <lb/>
                  faciendum erat.</s>
                </p>
                <p type="margin">
                  <s id="s.000150">
                    <margin.target id="marg25"/>
                  Per 6. huius.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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