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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/098.jpg" pagenum="94"/>
            <p id="N135C9" type="main">
              <s id="N135CB">
                <arrow.to.target n="marg114"/>
                <expan abbr="Quoniã">Quoniam</expan>
              enim FK ęquidiſtans eſtipſi DH; erit CF ad FD,
                <lb/>
              vt CK ad KH.
                <expan abbr="ſuntq́">ſunt〈que〉</expan>
              CF FD æquales; ergo & CK KH in­
                <lb/>
              terſe ſunt æquales. </s>
              <s id="N135DD">ſimiliter propter lineas æquidiſtantes FK
                <lb/>
                <arrow.to.target n="marg115"/>
              DH EG, ita eſt KH ad HG, vt FD ad DE; eſt autem FD
                <lb/>
              æqualis DE; erit igitur KH ipſi HG æqualis. </s>
              <s id="N135E7">Pariquè ra­
                <lb/>
                <arrow.to.target n="fig42"/>
                <lb/>
              tione oſtendetur ob ęquidiſtantes lineas DH EG BA,
                <expan abbr="lineã">lineam</expan>
                <lb/>
              HG ipſi GA æqualem eſſe. </s>
              <s id="N135F6">Ex quibus patet CK KH HG
                <lb/>
              GA inter ſe æquales eſſe. </s>
              <s id="N135FA">Quoniam autem trianguloru ABC
                <lb/>
              kFC angulus ad C eſt vtri〈que〉 communis; & ABC ipſi kFC,
                <lb/>
                <arrow.to.target n="marg116"/>
              & BAC ipſi FKC æqualis, cum ſit Fk ipſi AB æquidiſtans;
                <lb/>
              erit triangulum ABC ipſi KFC ſimile. </s>
              <s id="N13606">& quonian NK FC,
                <lb/>
              & HN KF ſunt ęquidiſtantes, erunt anguli KCFCkF angu
                <lb/>
              lis HkN KHN ęquales; ac propterea reliquus CFK reliquo
                <lb/>
              KNH ęqualis: latus verò CK lateri KH eſt ęquale; erit igi­
                <lb/>
                <arrow.to.target n="marg117"/>
              tur triangulum KFC triangulo HNK ſimile, & ęquale. </s>
              <s id="N13614">ſimi
                <lb/>
              literquè
                <expan abbr="oſtẽdetur">oſtendetur</expan>
              omnia triangula ALG GMH HNK KFC
                <lb/>
              interſeſe ſimilia, & æqualia eſſe. </s>
              <s id="N1361E">& obid ipſi ABC ſimilia eſſe.
                <lb/>
              Fiat igit vt AC ad AG, ita AG ad alia O. ſimiliterv AC ad GH,
                <lb/>
              ita GH ad P. rurſusvt AC ad Hk, ita HK ad
                <expan abbr="q.">〈que〉</expan>
              deniquè
                <lb/>
              vt AC ad Ck, ita CK ad R. & quoniam AG GH HK KC
                <lb/>
                <arrow.to.target n="marg118"/>
              ſunt æquales, eadem AC ad vnamquam〈que〉 ipſarum ean­
                <lb/>
              dem habebit proportionem, ergo eandem quo〈que〉 habebit
                <lb/>
              propoſitionem AG ad O, vt GH ad P, & HK ad Q, & </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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