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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/119.jpg"/>
            <subchap1 n="4" type="proposition">
              <p type="head">
                <s id="s.000876">PROPOSITIO IV. PROBL. II.</s>
              </p>
              <subchap2 n="4" type="statement">
                <p type="main">
                  <s id="s.000877">In quibusvis canalibus quomodolibet inclina­
                    <lb/>
                  tis, reperire portiones continentes aquam
                    <lb/>
                  aequalem cuiusvis dicti canalis.
                    <figure id="id.064.01.119.1.jpg" xlink:href="064/01/119/1.jpg" number="64"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="4" type="proof">
                <p type="main">
                  <s id="s.000878">A Canalibus AB, AC, AD, etc. sint secandae
                    <lb/>
                  portiones continentes aquam aequalem aquae
                    <lb/>
                  canalis AE.</s>
                </p>
                <p type="main">
                  <s id="s.000879">Iungantur omnes praedicti canales, retentis incli­
                    <lb/>
                  nationibus, in puncto superiori A; et si AE est
                    <lb/>
                  perpendicularis ad orizontem, circa ipsum
                    <lb/>
                  tanquam diametrum, describatur circulus AE;
                    <lb/>
                  sin minus a puncto E, erigatur ipsi AE perpen­
                    <lb/>
                  dicularis EF, & ab A demittatur perpendicu­
                    <lb/>
                  laris ad orizontem, donec cum EF coeat in
                    <lb/>
                  F, & circa AF describatur circulus secans
                    <lb/>
                  omnes praedictos canales in G, H, I.</s>
                </p>
                <p type="main">
                  <s id="s.000880">Dico portiones AG, AH, AI continere aquam
                    <lb/>
                  aequalem aquae canalis AE.</s>
                </p>
                <p type="main">
                  <s id="s.000881">Quoniam in AG, AE, AH, AI diuturnitates sunt
                    <lb/>
                  aequales
                    <arrow.to.target n="marg189"/>
                  , ergo sunt ibidem quantitates aquae
                    <lb/>
                  aequales
                    <arrow.to.target n="marg190"/>
                  . </s>
                  <s id="s.000882">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000883">
                    <margin.target id="marg189"/>
                  Per 25. pr. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000884">
                    <margin.target id="marg190"/>
                  Per primam huius.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>