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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N136E4" type="main">
              <s id="N1374C">
                <pb xlink:href="077/01/100.jpg" pagenum="96"/>
              ipsi AD æquidiſtantes, erit AE ad EB, vt DO ad OB; & vt
                <lb/>
                <arrow.to.target n="marg123"/>
              DZ ad ZC, ſic AF ad FC. at〈que〉 DO ad OB eſt, vt DZ ad
                <lb/>
              ZC. erit igitur AE ad EB, vt AF ad FC. quare EF ipſi BC
                <lb/>
                <arrow.to.target n="marg124"/>
              eſt æquidiſtans, eodemquè modo oſtendetur, ita eſſe AG ad
                <lb/>
                <arrow.to.target n="fig43"/>
                <lb/>
              GB, vt AK ad KC, & AL ad LB, vt AM ad MC. ex quib^{9}
                <lb/>
              ſequitur LM GK EF non ſolùm ipſi BC, verùm etiam inter­
                <lb/>
              ſeſe parallelas eſſe. </s>
              <s id="N1376D">ſecct EF lineas G
                <foreign lang="grc">ζ</foreign>
              K
                <foreign lang="grc">β</foreign>
              in X
                <foreign lang="grc">ε</foreign>
              . ipſam verò
                <lb/>
              AD in T. lineaquè GK ſecet L
                <foreign lang="grc">α</foreign>
              M
                <foreign lang="grc">ω</foreign>
              in N
                <foreign lang="grc">δ</foreign>
              , & AD in Y.
                <lb/>
              linea deniquè LM ipſam AD in S diſpeſcat. </s>
              <s id="N1378B">Quoniam au
                <lb/>
              tem D
                <foreign lang="grc">ω</foreign>
              eſt ipſi HI æquidiſtans, eſtquè D
                <foreign lang="grc">ω</foreign>
              minor
                <expan abbr="quã">quam</expan>
              HI, li
                <lb/>
              nea
                <foreign lang="grc">ω</foreign>
              M ipſi AL ęquidiſtans ipſam HI ſecabir. </s>
              <s id="N137A1">ac propterea
                <lb/>
              punctum H centrum grauitatis trianguli ABC extra paral­
                <lb/>
                <arrow.to.target n="marg125"/>
              lelogrammum DM reperitur. </s>
              <s id="N137AB">At verò quoniam LD DM
                <lb/>
              ſunt para lelogramma, erunt LS
                <foreign lang="grc">α</foreign>
              D inter ſe æquales, ſimili­
                <lb/>
              ter SM D
                <foreign lang="grc">ω</foreign>
              ęquales. </s>
              <s id="N137B9">ſuntverò
                <foreign lang="grc">α</foreign>
              D D
                <foreign lang="grc">ω</foreign>
              ęquales: ergo & LS
                <lb/>
              SM inter ſe ſunt ęquales. </s>
              <s id="N137C5">eademquè rarione NY Y
                <foreign lang="grc">δ</foreign>
              inter ſe­
                <lb/>
              ſe, & ipſis LS SM ęquales exiſtent. </s>
              <s id="N137CD">quarelinea SY bifariam
                <lb/>
              diuiditlatera oppoſita parallelogrammi MN. pariquè ratio­
                <lb/>
              ne oſtendetur lineam YT bifariam diuidere oppoſita latera
                <lb/>
              parallelogrammi KX; lineamquè TD latera oppoſita </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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