DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Page concordance

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    <archimedes>
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        <body>
          <chap id="N10019">
            <p id="N151C7" type="main">
              <s id="N151E5">
                <pb xlink:href="077/01/141.jpg" pagenum="137"/>
              portio AFB trianguli AFB eſt ſeſquitertia,
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              portio BLC trianguli BLC, eritportio AFB ad triangulum
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              AFB, vt portio CLB ad triangulum CLB, & permutando
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              portio AFB ad portionem CLB, vt triangulum AFB
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              ipſum CLB
                <expan abbr="triãgula">triangula</expan>
              verò ſunt æqualia; ergo portiones AFB
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              CLB inter ſe ſunt æquales. </s>
              <s id="N15203">Eademquè ratione
                <expan abbr="triangulũ">triangulum</expan>
              AFB
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              octuplum eſt trianguli AIF, & triangulum CLB octuplum
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              ipſius CML. vnde triangula AIF CML ſunt æqualia. </s>
              <s id="N1520D">et ea­
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              rum quo〈que〉 portiones AIF CML ſunt æquales, ſiquidem
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              ſunt triangulorum ſeſquitertiæ. </s>
              <s id="N15213">Et hoc modo reliqua trian­
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              gula FKB LNB, & portiones FKB LNB
                <expan abbr="oſtendẽtur">oſtendentur</expan>
              æqua­
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              les. </s>
              <s id="N1521D">cùm ſit triangulum FBL dictorum triangulorum octu­
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              plum. </s>
              <s id="N15221">quod oportebat quo〈que〉 demonſtrate. </s>
            </p>
            <p id="N15223" type="margin">
              <s id="N15225">
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              9.
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              quinti.
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              </s>
            </p>
            <p id="N1522E" type="margin">
              <s id="N15230">
                <margin.target id="marg224"/>
              17.24. A
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              r
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              chimedis
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              de quad.
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              parab.
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              </s>
            </p>
            <p id="N1523F" type="margin">
              <s id="N15241">
                <margin.target id="marg225"/>
              16.
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              quimi
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              21.
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              Archi­
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              medis de
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              quad. </s>
              <s id="N15253">pa­
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              rab.
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              </s>
            </p>
            <p id="N15259" type="main">
              <s id="N1525B">His demonſtratis ſequitur Archimedes quaſi connectens ſe
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              〈que〉ntem propoſitionem cumijs, quæ ſuppoſita ſunt, inqui­
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              ens,
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              ſi autem & in portione
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              &c. </s>
            </p>
            <p id="N15267" type="head">
              <s id="N15269">PROPOSITIO. II.</s>
            </p>
            <p id="N1526B" type="main">
              <s id="N1526D">Si autem & in portione rectalinea, rectangu­
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              li〈que〉 coni ſectione contenta, figura rectilinea pla
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              ne inſcribatur, inſcriptæ figuræ centrum grauita­
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              tis erit in diametro portionis. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>