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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/058.jpg"/>
            <subchap1 n="1" type="proposition">
              <p type="head">
                <s id="s.000393">PROPOSITIO PRIMA.</s>
              </p>
              <subchap2 n="1" type="statement">
                <p type="main">
                  <s id="s.000394">Grave in motu naturali, sive perpendiculari,
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                  sive inclinato, fertur sine ope gravitatis,
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                  aequali tempore, per duplum spatii praece­
                    <lb/>
                  dentis.</s>
                </p>
              </subchap2>
              <subchap2 n="1" type="proof">
                <p type="main">
                  <figure id="id.064.01.058.1.jpg" xlink:href="064/01/058/1.jpg" number="31"/>
                  <s id="s.000395">Dato gravi A naturaliter la­
                    <lb/>
                  to ab A ad B tempore ab,
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                  cuius aequale sit tempus bc, &
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                  spatium BC, sit duplum spati AB.
                    <lb/>
                  </s>
                  <s id="s.000396">Dico quod tempore bc fertur grave
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                  sine ope gravitatis per spatium
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                  aequale ipsi BC.</s>
                </p>
                <p type="main">
                  <s id="s.000397">Producatur AB, sumaturque portio
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                  BD aequalis, & DE dupla lineae AB, & pro­
                    <lb/>
                  inde aequalis ipsi BC.</s>
                </p>
                <p type="main">
                  <s id="s.000398">Quoniam ope gravitatis A tempore ab fertur
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                  in B per constructionem, tempore bc eadem
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                  ope prodibit in D per spatium BD aequale A
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                  B
                    <arrow.to.target n="marg90"/>
                  , at prodit in E
                    <arrow.to.target n="marg91"/>
                  , ergo fertur per DE du­
                    <lb/>
                  plum ipsius AB sine ope gravitatis, cui cum
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                  sit aequalis BC per constructionem, constat,
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                  quod sine ope gravitatis tempore bc fertur per
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                  spatium aequale BC, quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000399">
                    <margin.target id="marg90"/>
                  Per axioma primum.</s>
                </p>
                <p type="margin">
                  <s id="s.000400">
                    <margin.target id="marg91"/>
                  Per 3. primi huius.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000401">Corollarium Primum</s>
                </p>
                <p type="main">
                  <s id="s.000402">Hinc sequitur quod si spatium AB sectum esset
                    <lb/>
                  in quatuor partes aequales, grave perficeret </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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