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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N15CD1" type="main">
              <s id="N15D11">
                <pb xlink:href="077/01/155.jpg" pagenum="151"/>
              trianguli OQZ. ac propterea quando Archimedes in propo
                <lb/>
              ſitione inquit
                <emph type="italics"/>
              ſi in vtra〈que〉 ſimilium portionum rectalmea, rectangu­
                <lb/>
              liquè coni ſectione contentarum,
                <emph.end type="italics"/>
              non propterda exiſtimandum eſt
                <lb/>
              reperiri poſſe aliquas parabolas recta linea terminatas no eſſe
                <lb/>
              ſimiles inter ſe; ea nimirumiam explicata ſimilitudine. </s>
              <s id="N15D2F">ſunte­
                <lb/>
              nim Archimedis verba hoc modo intelligenda, nempè, ſi in
                <lb/>
              vtra〈que〉 portionum recta linea rectanguliquè coni ſectione
                <lb/>
              contentarum, quæ omnes ſunt ſimiles, & c. </s>
              <s id="N15D37">veluti ſi dicere­
                <lb/>
              mus. </s>
              <s id="N15D3B">In ſimilibus ſemicirculis anguli omnes ſuntrecti. </s>
              <s id="N15D3D">non
                <lb/>
              eſt intelligendum nonnullos ſemicirculos inter ſe diſſimiles
                <lb/>
              exiſtere poſſe. </s>
              <s id="N15D43">ſed hoc modo; in ſemicirculis, qui omnes ſunt
                <lb/>
              ſimiles, anguliſunt recti. </s>
              <s id="N15D47">Et hoc modo ſemperintelligere o­
                <lb/>
              portet, quando in ſe〈que〉ntibus Archimedes parabolas ſimiles
                <lb/>
              nominat. </s>
              <s id="N15D4D">Nam & Archimedes cognouit omnes parabolas
                <lb/>
              inter ſe ſimiles eſſe; vt ipſe in demonſtratione octauæ propoſi
                <lb/>
              tionis huius ſupponere videtur. </s>
              <s id="N15D53">Oportebatenim aliquam in
                <lb/>
              parabolis demonſtrare ſimilitudinem, vt demonſtrari poſſet
                <lb/>
              centrum grauitatis in omnibus parabolis eſſe in certo, ac de­
                <lb/>
              terminato ſitu ipſius figuræ. </s>
              <s id="N15D5B">in figuris enim, quæ aliquam in­
                <lb/>
              terſe non habent ſimilitudinem, in ipſis centrum grauitatis
                <lb/>
              determinari minimè poſſe videtur. </s>
              <s id="N15D61">Dicet autem fortaſſe ali­
                <lb/>
              quis, determinatur tamen centrum grauitatis in omnibus
                <expan abbr="triã">triam</expan>
                <lb/>
              gulis, quæ quidem interſe non ſuntſimilia. </s>
              <s id="N15D6B">Cui reſponden­
                <lb/>
              dum; triangula omnia inter ſe ſimilia non eſſe ſimilitudine
                <lb/>
              rectilinearum figurarum, nempè vt anguli ſintæquales, & cir­
                <lb/>
              cum æqualesangulos latera proportionalia. </s>
              <s id="N15D73">quòd tamen nul­
                <lb/>
              lam inter ſeſe habeant conuenientiam, omnino negatur.
                <expan abbr="nã">nam</expan>
                <lb/>
              triangula omnia ſimul quodam modo illam habent conue­
                <lb/>
              nientiam, & ſimilitudinem; quæ parabolis accidit. </s>
            </p>
            <p id="N15D7F" type="main">
              <s id="N15D81">In triangulis enim ABC DEF ductę ſint AG DH ab angu­
                <lb/>
              lis ad dimidias baſes. </s>
              <s id="N15D85">ſintquè diuiſa triangulorum latera in ea
                <lb/>
              dem proportione, in punctis kL, OP. & vt AK KL LB, ita ſit
                <lb/>
              AM MN NC, & DQ QR RF. ductiſquè KM LN OQ
                <arrow.to.target n="marg267"/>
                <lb/>
              quæ lineas AG DH ſecent in punctis ST VX; primùm
                <expan abbr="quidẽ">quidem</expan>
                <lb/>
              erunt KM LN OQ PR baſibus BC EF æquidiſtantes; quas
                <lb/>
              lineæ AG DH in punctis ST VX bifariam diuident, cùm ſit </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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