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

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    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1 n="27" type="proposition">
              <subchap2 n="28" type="proof">
                <pb xlink:href="064/01/051.jpg"/>
                <p type="main">
                  <s id="s.000357">Quoniam notum est triangulum AEB, cum no­
                    <lb/>
                  tus sit angulus AEB aequalis alterno EDF
                    <lb/>
                  inclinationis notae, & EAB rectus ex constru­
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                  ctione, & notum latus AB ex hypotesi, notum
                    <lb/>
                  erit etiam latus EB, & quia diuturnitas in
                    <lb/>
                  plano BD est eadem ac si motus antecedens
                    <lb/>
                  esset per EB
                    <arrow.to.target n="marg85"/>
                  , EB & ED sunt in duplicata
                    <lb/>
                  ratione diuturnitatum G, K ex con­
                    <lb/>
                  structio­
                    <lb/>
                  ne; unde a K deducta KL aequali G ex constructione, remanet LM diuturnitas BD. </s>
                  <s id="s.000358">Quod, etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000359">
                    <margin.target id="marg85"/>
                  Per 22 huius.</s>
                </p>
                <p type="main">
                  <s id="s.000360">Inde sequitur quod summa diuturnitatum C, &
                    <lb/>
                  LM, est diuturnitas totius ABD.**</s>
                </p>
                <p type="main">
                  <s id="s.000361">Eadem operatione pariter reperietur diuturni­
                    <lb/>
                  tas BD si BD sit perpendicularis, & AB
                    <lb/>
                  inclinata.</s>
                </p>
                <p type="main">
                  <s id="s.000362">Item si ambo sint plana inclinata.</s>
                </p>
                <p type="main">
                  <s id="s.000363">Ducta AD facile reperietur diuturnitas in ipsa
                    <lb/>
                  si fiat ut ED ad AD, ita K ad aliud per
                    <lb/>
                  21. huius.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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