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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/118.jpg"/>
            <subchap1 n="3" type="proposition">
              <p type="head">
                <s id="s.000865">PROPOSITIO III. PROBL. I.</s>
              </p>
              <subchap2 n="3" type="statement">
                <p type="main">
                  <s id="s.000866">In canali declinante, reperire portionem con­
                    <lb/>
                  tinentem aquam, aequalem eius quae est in
                    <lb/>
                  perpendiculari.
                    <figure id="id.064.01.118.1.jpg" xlink:href="064/01/118/1.jpg" number="63"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="3" type="proof">
                <p type="main">
                  <s id="s.000867">Sit AC canale inclinatum, & AB perpendicu­
                    <lb/>
                  lare; oportet reperire in AC portionem con­
                    <lb/>
                  tinentem aquam aequalem aquae AB.</s>
                </p>
                <p type="main">
                  <s id="s.000868">Ducatur BD normalis ad AC.</s>
                </p>
                <p type="main">
                  <s id="s.000869">Dico AD esse portionem quaesitam.</s>
                </p>
                <p type="main">
                  <s id="s.000870">Quoniam aqua ab A ducitur in B eodem tempore,
                    <lb/>
                  quo in D
                    <arrow.to.target n="marg187"/>
                  , erit aqua AB aequalis aqua AD
                    <arrow.to.target n="marg188"/>
                  . </s>
                  <s id="s.000871">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000872">
                    <margin.target id="marg187"/>
                  Per 16. pr. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000873">
                    <margin.target id="marg188"/>
                  Per Co. primae huius.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000874">Corollarium.</s>
                </p>
                <p type="main">
                  <s id="s.000875">Eadem ratione Dato canali AD reperietur
                    <lb/>
                  in AB portio continens aquam aequalem
                    <lb/>
                  AD, erecta a puncto D perpendiculari DB.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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