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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/086.jpg"/>
            <subchap1 n="2" type="proposition">
              <p type="head">
                <s id="s.000608">PROPOSITIO II.</s>
              </p>
              <subchap2 n="2" type="statement">
                <p type="main">
                  <s id="s.000609">Grave ductum perpendiculariter per spatium
                    <lb/>
                  datum diuturnitate data, perseveret in
                    <lb/>
                  motu super plano inclinato; perquirere in
                    <lb/>
                  eo motum in data diuturnitate.
                    <figure id="id.064.01.086.1.jpg" xlink:href="064/01/086/1.jpg" number="49"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="2" type="proof">
                <p type="main">
                  <s id="s.000610">Ducatur grave A perpendiculariter per AB
                    <lb/>
                  diuturnitate quae sit AB, & perseveret
                    <lb/>
                  in motu super BD plano inclinationis notae.</s>
                </p>
                <p type="main">
                  <s id="s.000611">Venandus ibi motus in dicta diuturnitate AB.</s>
                </p>
                <p type="main">
                  <s id="s.000612">Producatur BD in C donec concurrat cum AC
                    <lb/>
                  orizontaliter ducta ab A ad C. </s>
                  <s id="s.000613">Erit BC diu­
                    <lb/>
                  turnitas ipsius BC
                    <arrow.to.target n="marg154"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000614">
                    <margin.target id="marg154"/>
                  Per 15. primi huius.</s>
                </p>
                <p type="main">
                  <s id="s.000615">Fiat BE aequalis AB, & CD tertia ad CB, CE
                    <arrow.to.target n="marg155"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000616">
                    <margin.target id="marg155"/>
                  Per 11. sexti.</s>
                </p>
                <p type="main">
                  <s id="s.000617">Dico BD esse quaesitum, nempe spatium transa­
                    <lb/>
                  ctum diuturnitate AB.</s>
                </p>
                <p type="main">
                  <s id="s.000618">Quoniam CE est diuturnitas CD
                    <arrow.to.target n="marg156"/>
                  , & CB est diu­
                    <lb/>
                  turnitas motus per eundem CB ut supra pro­
                    <lb/>
                  batum fuit.</s>
                </p>
                <p type="margin">
                  <s id="s.000619">
                    <margin.target id="marg156"/>
                  Per 7. pr. huius.</s>
                </p>
                <p type="main">
                  <s id="s.000620">Erit BE diuturnitas BD stante motu praecedenti
                    <lb/>
                  per BC
                    <arrow.to.target n="marg157"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000621">
                    <margin.target id="marg157"/>
                  Per 19. quinti.</s>
                </p>
                <p type="main">
                  <s id="s.000622">Et pariter si fuerit per AB, BE est diuturni­
                    <lb/>
                  tas motus per BD
                    <arrow.to.target n="marg158"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000623">
                    <margin.target id="marg158"/>
                  Per pr. huius.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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