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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N127A7" type="main">
              <s id="N127B3">
                <pb xlink:href="077/01/074.jpg" pagenum="70"/>
              habeat proportionem KH ad C, quàm ED ad EF.
                <expan abbr="ſiquidẽ">ſiquidem</expan>
                <lb/>
              ſupponitur KM ad C ita eſſe, vt ED ad EF. Archimed es ve
                <lb/>
              iò, vt demonſtratio abſ〈que〉 diſtinctione ſit vniuerſalis, prę­
                <lb/>
              cipit (exiſtente KH ipſi C commenſurabili, ſiue incommen
                <lb/>
              ſurabili) vt auferatur pars aliqua minor exceſſu HL, ut AL,
                <lb/>
              ita tamen, vt reliqua KN ſit commenſurabilis ipſi C. quod qui
                <lb/>
              dem fieri poſſe oſtenſum eſt in proximo problemate. </s>
              <s id="N127C9">ex tota
                <lb/>
              enim magnitudine KM partem abſcindere poſſumus, vt KN
                <lb/>
              minorem quidem tota KM, maiorem verò KH, quæ ipſi
                <lb/>
              C commenſurabilis exiſtat. </s>
            </p>
            <p id="N127D1" type="main">
              <s id="N127D3">Cognita Archimedis demonſtratione de incommenſura­
                <lb/>
              bilibus magnitudinibus, idem alio quo〈que〉 modo oſtendere
                <lb/>
              poſſumus, applicando nempè diuiſibilitatem, & commenſura
                <lb/>
              bilitatem non magnitudinibus, verùm diſtantijs. </s>
              <s id="N127DB">hac autem
                <lb/>
              priùs demonſtrata propoſitione. </s>
            </p>
            <p id="N127DF" type="head">
              <s id="N127E1">PROPOSITIO.</s>
            </p>
            <p id="N127E3" type="main">
              <s id="N127E5">Si commenſurabiles diſtantię maiorem habuerint pro­
                <lb/>
              portionem, quàm magnitudines permutatim habent; vt
                <lb/>
              ę〈que〉ponderent, maiori opus erit longitudine, quàm ſit
                <lb/>
              ea, ad quam altera longitudo maiorem habet proportio­
                <lb/>
              nem. </s>
            </p>
            <figure id="id.077.01.074.1.jpg" xlink:href="077/01/074/1.jpg" number="44"/>
            <p id="N127F2" type="main">
              <s id="N127F4">Sint diſtantiæ DE EH commenſurabiles, magnitudines
                <lb/>
              verò ſint A C. habeatquè ED ad EH maiorem proportio­
                <lb/>
              nem, quàm A ad C. Dico vt AC ę〈que〉ponderent, maiori opus </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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