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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/141.jpg"/>
            <subchap1 n="3" type="proposition">
              <p type="head">
                <s id="s.001022">PROPOSITIO III.</s>
              </p>
              <subchap2 n="3" type="statement">
                <p type="main">
                  <s id="s.001023">Sectiones canalis sunt reciproce in subduplicata ratione longitudinum.</s>
                </p>
              </subchap2>
              <subchap2 n="3" type="proof">
                <p type="main">
                  <figure id="id.064.01.141.1.jpg" xlink:href="064/01/141/1.jpg" number="75"/>
                  <s id="s.001024">Sit canale AB sectum in C.</s>
                </p>
                <p type="main">
                  <s id="s.001025">Dico sectiones CB esse in subduplicata ratione AB, AC.</s>
                </p>
                <p type="main">
                  <s id="s.001026">Quoniam sectiones CB sunt ut velocitates in B, & in C
                    <arrow.to.target n="marg212"/>
                  , at velocitas in B ad velocitatem in C est in subduplicata ratione AB ad AC
                    <arrow.to.target n="marg213"/>
                  , Ergo sectio C ad sectionem B est in subduplicata ratione AB ad AC
                    <arrow.to.target n="marg214"/>
                  . </s>
                  <s id="s.001027">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.001028">
                    <margin.target id="marg212"/>
                  Per 5. secundi huius.</s>
                </p>
                <p type="margin">
                  <s id="s.001029">
                    <margin.target id="marg213"/>
                  Per 11. quinti.</s>
                </p>
                <p type="margin">
                  <s id="s.001030">
                    <margin.target id="marg214"/>
                  Per 33. primi.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.001031">Corollarium I.</s>
                </p>
                <p type="main">
                  <s id="s.001032">Igitur si canalis latera sint parallela, altitudines sectionem sunt in subduplicata ratione longitudinum.</s>
                </p>
                <p type="main">
                  <s id="s.001033">Nam si latera perpendicularia canalis intelligantur bases, & ea ratione latitudines canalis ut altitudines, quae proinde sunt aequales
                    <arrow.to.target n="marg215"/>
                  , sectiones sunt ut dicta latera perpendicularia
                    <arrow.to.target n="marg216"/>
                  ,</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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