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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/122.jpg"/>
            <subchap1 n="6" type="proposition">
              <p type="head">
                <s id="s.000897">PROPOSITIO VI.</s>
              </p>
              <subchap2 n="6" type="statement">
                <p type="main">
                  <s id="s.000898">In canali secto quomodocumque; aqua in
                    <lb/>
                  priori portione ad aquam totius est in sub­
                    <lb/>
                  duplicata ratione longitudinum.
                    <figure id="id.064.01.122.1.jpg" xlink:href="064/01/122/1.jpg" number="67"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="6" type="proof">
                <p type="main">
                  <s id="s.000899">Sit canale AC sectum quomodocumque in D. </s>
                  <s id="s.000900">Dico, quod aqua AD ad aquam AC est in sub­
                    <lb/>
                  duplicata ratione longitudinum AD, AC.</s>
                </p>
                <p type="main">
                  <s id="s.000901">Quoniam longitudines AD, AC sunt in duplicata
                    <lb/>
                  ratione diuturnitatum
                    <arrow.to.target n="marg193"/>
                  , at diuturnitates sunt
                    <lb/>
                  ut quantitates aquae
                    <arrow.to.target n="marg194"/>
                  , ergo quantitates aquae
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                  sunt in subduplicata ratione longitudinum
                    <arrow.to.target n="marg195"/>
                  . </s>
                  <s id="s.000902">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000903">
                    <margin.target id="marg193"/>
                  Per 3. & 7. primi huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000904">
                    <margin.target id="marg194"/>
                  Per 5. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000905">
                    <margin.target id="marg195"/>
                  Per 11. quinti.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000906">Corollarium</s>
                </p>
                <p type="main">
                  <s id="s.000907">Unde si fiat AE media proportionalis inter
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                  AD, AC, aqua AD ad aquam AC erit ut
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                  AD ad AE.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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