Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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          <pb o="317" file="0337" n="337" rhead="LIBER IV."/>
        </div>
        <div xml:id="echoid-div758" type="section" level="1" n="447">
          <head xml:id="echoid-head467" xml:space="preserve">THEOREMA XXIV. PROPOS. XXVI.</head>
          <p>
            <s xml:id="echoid-s7635" xml:space="preserve">INeadem antecedentis figura oſtendemus omnia quadra-
              <lb/>
            ta portionis, BSF, ad rectangula ſub eadem portione,
              <lb/>
            BSF, & </s>
            <s xml:id="echoid-s7636" xml:space="preserve">ſub figura, SEF, regula communi, BF, eſſe vt, B
              <lb/>
            F, ad, FE.</s>
            <s xml:id="echoid-s7637" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7638" xml:space="preserve">Eſt enim quadratum, BF, ad rectangulum ſub, BF, FE, vt, B
              <lb/>
            F, ad, FE; </s>
            <s xml:id="echoid-s7639" xml:space="preserve">ſimiliter ducta vtcunque, CD, parallela regulę, BF,
              <lb/>
            oſtendemus quadratum, CD, ad rectangulum, ſub, CD, DZ,
              <lb/>
            eſſe vt, CD, ad, DZ, eſt autem vt, BF, ad, FE, ita, CD, ad,
              <lb/>
            DZ, ergo quadratum, BF, ad rectangulum, BFE, erit vt qua-
              <lb/>
            dratum, CD, ad rectangulum, CDZ, ſic oſtendemus quamlibet
              <lb/>
            ductam intra portionem, BSF, parallelam regulę, BF, ad eiuſdem
              <lb/>
              <note position="right" xlink:label="note-0337-01" xlink:href="note-0337-01a" xml:space="preserve">Corol.
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              4. 1. 2.</note>
            portionem incluſam figura, SFE, eſſe vt quadratum, BF, ad re-
              <lb/>
            ctangulum ſub, BF, FE, ergo quadratum, BF, ad rectangulum
              <lb/>
            ſub, BF, FE, erit vt omnia quadrata portionis, BSF, ad rectan-
              <lb/>
            gula ſub portione, BSF, & </s>
            <s xml:id="echoid-s7640" xml:space="preserve">ſub figura, SEF, vt autem quadratum,
              <lb/>
            BF, ad rectangulum ſub, BF, FE, ita, BF, ad, FE, ergo omnia
              <lb/>
            quadrata portionis, BSF, ad rectangula ſub portione, BSF, & </s>
            <s xml:id="echoid-s7641" xml:space="preserve">fi-
              <lb/>
            gura, ESF, erunt vt, BF, ad, FE, quod oſtendere opus erat.</s>
            <s xml:id="echoid-s7642" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div760" type="section" level="1" n="448">
          <head xml:id="echoid-head468" xml:space="preserve">THEOREMA XXV. PROPOS. XXVII.</head>
          <p>
            <s xml:id="echoid-s7643" xml:space="preserve">SI intra curuam parabolæ duæ vtcunque ducantur rectæ
              <lb/>
            lineę in eandem @terminatæ, quarum vna rectè, altera
              <lb/>
            obliquè axim ſecet, ſint autem conſtitutarum ab eiſdem pa-
              <lb/>
            rabolarum diametri inter ſe æquales: </s>
            <s xml:id="echoid-s7644" xml:space="preserve">Omnia quadrata pa-
              <lb/>
            rabolæ per eam, quæ rectè axim ſecat, conſtitutæ, regula
              <lb/>
            eadem, erunt æqualia rectangulis ſub parabola per obli-
              <lb/>
            quam ad axem conſtituta, regula eadem, & </s>
            <s xml:id="echoid-s7645" xml:space="preserve">ſub figura di-
              <lb/>
            ſtantiarum eiuſdem parabolæ per obliquam ad axem con-
              <lb/>
            ſtitutæ.</s>
            <s xml:id="echoid-s7646" xml:space="preserve"/>
          </p>
          <figure number="227">
            <image file="0337-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0337-01"/>
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