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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/095.jpg"/>
            <subchap1 n="8" type="proposition">
              <p type="head">
                <s id="s.000719">PROPOSITIO VIII</s>
              </p>
              <subchap2 n="8" type="statement">
                <p type="main">
                  <s id="s.000720">Grave naturaliter ductum, velocius fertur su­
                    <lb/>
                  per tribus lineis descendentibus, quam su­
                    <lb/>
                  per una tantum.
                    <figure id="id.064.01.095.1.jpg" xlink:href="064/01/095/1.jpg" number="56"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="8" type="proof">
                <p type="main">
                  <s id="s.000721">Feratur grave per AB, BC, CD.</s>
                </p>
                <p type="main">
                  <s id="s.000722">Dico citius duci in D quam per AD.</s>
                </p>
                <p type="main">
                  <s id="s.000723">Producantur CB, DC ad orizontalem AF in EF.</s>
                </p>
                <p type="main">
                  <s id="s.000724">Ducantur normales AG, BH, & ducatur AC.</s>
                </p>
                <p type="main">
                  <s id="s.000725">Quoniam grave pervenit citius in C per ABC,
                    <lb/>
                  quam per AC
                    <arrow.to.target n="marg179"/>
                  . Item citius in D per ACD
                    <lb/>
                  quam per AD
                    <arrow.to.target n="marg180"/>
                  , tanto citius perveniet in D
                    <lb/>
                  per ABCD quam per AD. </s>
                  <s id="s.000726">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000727">
                    <margin.target id="marg179"/>
                  Per 7. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000728">
                    <margin.target id="marg180"/>
                  Per eamdem.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000729">Corollarium. I.</s>
                </p>
                <p type="main">
                  <s id="s.000730">Eodem pacto facile probabitur quod citius
                    <lb/>
                  perveniet in D, quatenus ducitur pluribus
                    <lb/>
                  inclinationibus.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000731">Corollarium. II.</s>
                </p>
                <p type="main">
                  <s id="s.000732">Impetus in D est maior, si fuerit motus per AB
                    <lb/>
                  CD, quam per AD.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>