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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/026.jpg"/>
            <subchap1 n="7" type="proposition">
              <p type="head">
                <s id="s.000131">PROPOSITIO VII.</s>
              </p>
              <subchap2 n="7" type="statement">
                <p type="main">
                  <s id="s.000132">Lineae descensus gravium super plano incli­
                    <lb/>
                  nato motorum, sunt in duplicata ratione
                    <lb/>
                  diuturnitatum.
                    <figure id="id.064.01.026.1.jpg" xlink:href="064/01/026/1.jpg" number="8"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="8" type="proof">
                <p type="main">
                  <s id="s.000133">Sint AB, CD plana pariter inclinata, super
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                  quibus moveantur gravia A, C, & sint EF
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                  ipsorum diuturnitates.</s>
                </p>
                <p type="main">
                  <s id="s.000134">Dico AB, CD, esse in duplicata ratione ipsarum E, F.</s>
                </p>
                <p type="main">
                  <s id="s.000135">Secetur AB bifariam in G, & erecta GH, per­
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                  pendiculari longissima, fiant pendula HI, HK,
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                  quae sint inter se ut AB, CD, & eleventur in
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                  L, M, describentia arcus LI, KM, secantes
                    <lb/>
                  GH in N, O, & ab N hinc inde secentur ar­
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                  cus NP, NQ aequales quo ad sensum rectis
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                  GA, GB, & ductis PH, QH, secetur pariter
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                  arcus LI, in R, S, & intelligantur arcus PQ,
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                  RS, tam parvae curvitatis, ob maximam lon­
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                  gitudinem pendulorum HI, HK, ut pro re­
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                  ctis habeantur, puta portionis minimae, & pro­
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                  inde aequales rectis AB, CD.
                    <arrow.to.target n="marg21"/>
                  </s>
                </p>
                <p type="margin">
                  <s id="s.000136">
                    <margin.target id="marg21"/>
                  Per 3. pet.</s>
                </p>
                <p type="main">
                  <s id="s.000137">Quoniam EF sunt diuturnitates AB, CD per </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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