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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N14DAC" type="main">
              <s id="N14DD4">
                <pb xlink:href="077/01/133.jpg" pagenum="129"/>
              libro de quadratura paraboles, propoſitione ſcilicet decimaſe
                <lb/>
              ptima, & vigeſimaquarta, docuit quamlibet portionem recta
                <lb/>
              linea, rectanguliquè coni ſectione contentam ſeſquitertiam
                <lb/>
              eſſe trianguli eandem ipſi baſim habentis, &
                <expan abbr="altitudinẽ">altitudinem</expan>
              ęqua
                <lb/>
              lem. </s>
              <s id="N14DEA">Ex qua propoſitione facilè conſtat nos parabolę
                <expan abbr="ſpaciū">ſpacium</expan>
                <lb/>
              ad rectam lineam applicare poſſe, vt propoſitum fuit hoc
                <lb/>
              modo. </s>
            </p>
            <p id="N14DF4" type="head">
              <s id="N14DF6">PROBLEMA.</s>
            </p>
            <p id="N14DF8" type="main">
              <s id="N14DFA">Ad datam rectam lineam datę parabolę ęquale parallelo­
                <lb/>
              grammum applicare, ita vt data linea oppoſita
                <expan abbr="parallelogrã-mi">parallelogran­
                  <lb/>
                mi</expan>
              latera biſariam diuidat. </s>
            </p>
            <figure id="id.077.01.133.1.jpg" xlink:href="077/01/133/1.jpg" number="86"/>
            <p id="N14E07" type="main">
              <s id="N14E09">Data ſit parabole
                <lb/>
              ABC, ſitquè data recta
                <lb/>
              linea GK. oportet ad
                <lb/>
              GK
                <expan abbr="parallelogrãmum">parallelogrammum</expan>
                <lb/>
              applicare æquale por­
                <lb/>
              tioni ABC, ita vt GK
                <lb/>
              bifariam diuidat oppo
                <lb/>
              ſita parallelogram mi
                <lb/>
              latera. </s>
              <s id="N14E1F">Conſtituatur ſu
                <lb/>
              per AC
                <expan abbr="triãgulũ">triangulum</expan>
              ABC,
                <lb/>
              qd baſim habeat AC,
                <lb/>
              eandem〈que〉 portionis
                <lb/>
                <expan abbr="altitudinẽ">altitudinem</expan>
              ; quod
                <expan abbr="quidẽ">quidem</expan>
                <lb/>
              fiet,
                <expan abbr="inuẽta">inuenta</expan>
              diametro DB, quæ parabolen in B ſecet,
                <expan abbr="iunctiſq́">iunctiſ〈que〉</expan>
                <arrow.to.target n="marg207"/>
                <lb/>
              AB BC. eritvti〈que〉 parabole ABC trianguli ABC ſeſquitertia.
                <lb/>
              Ita〈que〉 diuidatur AC in tria ęqualia, quarum vna pars ſit
                <arrow.to.target n="marg208"/>
                <lb/>
              producaturquè AC. fiatquè CL ipſi CH ęqualis
                <gap/>
              erit ſanè AL
                <lb/>
              ipſius AC ſeſq uitertia. </s>
              <s id="N14E4E">Et obid (iuncta BL) erit triangulum
                <lb/>
              ABL trianguli ABC ſeſquitertium. </s>
              <s id="N14E52">ſunt quippè triangula
                <arrow.to.target n="marg209"/>
                <lb/>
              ABC inter ſe, vt baſes AL AC. ac per conſe〈que〉ns triangulum
                <lb/>
              ABL patabolę ABC exiſtit ęquale. </s>
              <s id="N14E5B">Applicetur ita〈que〉 ad
                <arrow.to.target n="marg210"/>
                <lb/>
              GK
                <expan abbr="parallelogrãmũ">parallelogrammum</expan>
              GS ęquale
                <expan abbr="triãgulo">triangulo</expan>
              ABL. erit GS </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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