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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/124.jpg"/>
            <subchap1 n="8" type="proposition">
              <p type="head">
                <s id="s.000917">PROPOSITIO VIII. PROBL. IV.</s>
              </p>
              <subchap2 n="8" type="statement">
                <p type="main">
                  <s id="s.000918">Datis canalibus aequalis longitudinis maio­
                    <lb/>
                  ris aut minoris inclinationis; venari pro­
                    <lb/>
                  portiones aquarum.
                    <figure id="id.064.01.124.1.jpg" xlink:href="064/01/124/1.jpg" number="69"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="8" type="proof">
                <p type="main">
                  <s id="s.000919">Sit canale AC minus, AF magis inclinatum
                    <lb/>
                  ei aequale; & venandae sint proportiones aqua­
                    <lb/>
                  rum ab eis contentorum.</s>
                </p>
                <p type="main">
                  <s id="s.000920">Ducatur AB perpendicularis ad orizontem eiu­
                    <lb/>
                  sdem longitudinis, & ductis perpendiculari­
                    <lb/>
                  bus BD, BG, fiat AE media inter AD, AC,
                    <lb/>
                  & AH inter AG, AF, & ut AG ad AH, ita
                    <lb/>
                  AD ad AI.</s>
                </p>
                <p type="main">
                  <s id="s.000921">Dico aquam AC ad aquam AF esse ut AE ad AI.</s>
                </p>
                <p type="main">
                  <s id="s.000922">Quoniam ut aqua AC ad aquam AB ita AE ad
                    <lb/>
                  AD; & ut aqua AB ad aquam AF, ita AG
                    <lb/>
                  ad AH,
                    <arrow.to.target n="marg199"/>
                  seu ut AD ad AI per constructio­
                    <lb/>
                  nem; erit aqua AC ad aquam AF ut AE ad
                    <lb/>
                  AI
                    <arrow.to.target n="marg200"/>
                  . </s>
                  <s id="s.000923">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000924">
                    <margin.target id="marg199"/>
                  Per 7. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000925">
                    <margin.target id="marg200"/>
                  Per 22. quinti.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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