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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/050.jpg"/>
            <subchap1 n="27" type="proposition">
              <p type="head">
                <s id="s.000351">PROPOSITIO XXVII. PROBL. XIV.</s>
              </p>
              <subchap2 n="27" type="statement">
                <p type="main">
                  <s id="s.000352">Dato gravi moto perpendiculariter per spa­
                    <lb/>
                  tium datum diuturnitate data, quod per­
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                  ficiat motum super plano inclinato per
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                  spatium itidem datum; perquirere in ipso
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                  diuturnitatem.
                    <figure id="id.064.01.050.1.jpg" xlink:href="064/01/050/1.jpg" number="28"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="28" type="proof">
                <p type="main">
                  <s id="s.000353">Moveatur grave A perpendiculariter per
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                  spatium AB diuturnitate C, & perseve­
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                  ret in motu super spatio BD in plano incli­
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                  nato BD.</s>
                </p>
                <p type="main">
                  <s id="s.000354">Venanda est diuturnitas eius in ipso BD.</s>
                </p>
                <p type="main">
                  <s id="s.000355">Producatur DB donec concurrat cum AE orizon­
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                  taliter ducta ab A in E, & fiat ut AB ad EB,
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                  ita diuturnitas C ad diuturnitatem G, quae
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                  idcirco erit diuturnitas ipsius EB
                    <arrow.to.target n="marg84"/>
                  , & sit H
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                  quadratum diuturnitatis G, & fiat ut EB
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                  ad ED, ita quadratum H ad aliud quod sit I a
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                  cuius latere K, quod est diuturnitas ipsius
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                  ED, ablata KL aequali G, erit LM reli­
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                  quum diuturnitas BD quaesita.</s>
                </p>
                <p type="margin">
                  <s id="s.000356">
                    <margin.target id="marg84"/>
                  * Est quarta tertij.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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