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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/097.jpg" pagenum="93"/>
            <figure id="id.077.01.097.1.jpg" xlink:href="077/01/097/1.jpg" number="60"/>
            <p id="N1356C" type="main">
              <s id="N1356E">Pariquè ratione ſi quin〈que〉 fuerint magnitudines, eodem
                <lb/>
              modo tres mediæ
                <expan abbr="iũgatur">iungatur</expan>
              ſimul, ita vttres ſint
                <expan abbr="dũtaxat">duntaxat</expan>
              magni
                <lb/>
              tudines. </s>
              <s id="N1357C">& ſic in infinitum. </s>
              <s id="N1357E">quod demonſtrare oportebat. </s>
            </p>
            <p id="N13580" type="head">
              <s id="N13582">COROLLARIVM.</s>
            </p>
            <p id="N13584" type="main">
              <s id="N13586">Ex hoc elici poteſt. </s>
              <s id="N13588">quòd ſi fuerint quotcun〈que〉 magnitudi
                <lb/>
              nes proportionales; & alię ipſis numero æquales, & in eadem
                <lb/>
              proportione, vt ſcilicet ſit (vt in prima figura) A ad B, vt C
                <lb/>
              ad D, B verò ad E, vt D ad F. deinde vt E ad G, ſic F
                <lb/>
              ad H, & ita deinceps, ſi plures fuerint magnitudines, ſi­
                <lb/>
              militer erit A ad omnes BEG ſimul ſumptas, vt C ad om­
                <lb/>
              nes ſimul DFH. </s>
            </p>
            <p id="N13596" type="main">
              <s id="N13598">Primùm quidem A eſt ad B, vt C ad D. & quoniam ma
                <lb/>
              gnitudines ſunt proportionales, ex ęquali erit A ad E, vt
                <arrow.to.target n="marg113"/>
                <lb/>
              ad F. ſimiliter A ad G, vt C ad H. Ex quibus ſequitur
                <lb/>
              A ad BE ſimul ita eſſe, vt C ad DF. A verò ad omnes
                <lb/>
              BEG ſimul, vt C ad omnes ſimul DFH. & ita ſi plures fue
                <lb/>
              rint magnitudines. </s>
            </p>
            <p id="N135A7" type="margin">
              <s id="N135A9">
                <margin.target id="marg113"/>
              22.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N135B2" type="main">
              <s id="N135B4">LEMMA. III. </s>
            </p>
            <p id="N135B6" type="main">
              <s id="N135B8">Sit triangulum ABC, cuiuslatus BC in quotcun〈que〉 di­
                <lb/>
              uidatur partes æquales BE ED DF FC. & a punctis EDF
                <lb/>
              ipſi AB equidiſtanres ducantur EG DH FK. rurſus à pun
                <lb/>
              ctis GHK ipſi BC ęquidiſtantes ducantur GL HM KN.
                <lb/>
              Dico triangulum ABC ad omnia triangula ALG GMH
                <lb/>
              HNK KFC ſimulſumpta eandem habere proportionem,
                <lb/>
              quam habet CA ad AG. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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