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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1253F" type="main">
              <s id="N1256C">
                <pb xlink:href="077/01/070.jpg" pagenum="66"/>
              vltima multiplicatio caderet in D. ſi verò maior eſſet HD,
                <lb/>
              quàm AF tunc non eſſet vltima multiplicatio. </s>
              <s id="N1258C">quare cùm ſit
                <lb/>
              DC maior AF; erit & HC ipſa FA maior. </s>
              <s id="N12590">ſi ita〈que〉 fiat HK
                <lb/>
              æqualis AF; erit punctum K inter puncta DC. BK igitur
                <lb/>
              minor erit, quàm BC, & maior BD; eodemquè modo o­
                <lb/>
              ſtendetur AF ipſarum Bk AE communem eſſe menſu­
                <lb/>
              ram. </s>
              <s id="N1259A">& obid BK ipſi AF commenſurabilem exiſtere. </s>
              <s id="N1259C">quod
                <lb/>
              facere oportebat. </s>
            </p>
            <p id="N125A0" type="margin">
              <s id="N125A2">
                <margin.target id="marg54"/>
              1.
                <emph type="italics"/>
              def.deci­
                <lb/>
              mi.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.070.1.jpg" xlink:href="077/01/070/1.jpg" number="41"/>
            <p id="N125B1" type="main">
              <s id="N125B3">Cùm autem verba ſe〈que〉ntis demonſtrationis aliquantu­
                <lb/>
              lum ſint obſcura, vt vim demonſtrationis rectè petcipiamus,
                <lb/>
              hoc quo〈que〉 theorema ex ijs, quæ ab Archimede hactenus de­
                <lb/>
              monſtrata ſunt, oſtendemus. </s>
              <s id="N125BB">ad quod demonſtrandum com
                <lb/>
              muni notione indigemus, quam nos in noſtro Mechanico­
                <lb/>
              rum libro poſuimus. </s>
              <s id="N125C1">Nempè. </s>
            </p>
            <p id="N125C3" type="main">
              <s id="N125C5">Quæ eidem æ〈que〉pondeiant, inter ſe æquè ſunt grauia. </s>
            </p>
            <p id="N125C7" type="head">
              <s id="N125C9">PROPOSITIO.</s>
            </p>
            <p id="N125CB" type="main">
              <s id="N125CD">Si commenſurabiles magnitudines minorem habuerint
                <lb/>
              proportionem, quàm diſtantię permutatim habent; vt ę〈que〉­
                <lb/>
              ponderent, maiori opus erit magnitudine, quàm ſit ea, quę
                <lb/>
              ad alteram magnitudinem minorem proportionem habet. </s>
            </p>
            <figure id="id.077.01.070.2.jpg" xlink:href="077/01/070/2.jpg" number="42"/>
            <p id="N125D8" type="main">
              <s id="N125DA">Sint magnitudines AC commenſurabiles, diſtantię ve­
                <lb/>
              rò ſint ED EF. minorem autem habeat </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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