Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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          <pb o="317" file="0337" n="337" rhead="LIBER IV."/>
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        <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-
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            ta portionis, BSF, ad rectangula ſub eadem portione,
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            BSF, & </s>
            <s xml:id="echoid-s7636" xml:space="preserve">ſub figura, SEF, regula communi, BF, eſſe vt, B
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            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,
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            oſtendemus quadratum, CD, ad rectangulum, ſub, CD, DZ,
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            eſſe vt, CD, ad, DZ, eſt autem vt, BF, ad, FE, ita, CD, ad,
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            DZ, ergo quadratum, BF, ad rectangulum, BFE, erit vt qua-
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            dratum, CD, ad rectangulum, CDZ, ſic oſtendemus quamlibet
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            ductam intra portionem, BSF, parallelam regulę, BF, ad eiuſdem
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              <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-
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            ctangulum ſub, BF, FE, ergo quadratum, BF, ad rectangulum
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            ſub, BF, FE, erit vt omnia quadrata portionis, BSF, ad rectan-
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            gula ſub portione, BSF, & </s>
            <s xml:id="echoid-s7640" xml:space="preserve">ſub figura, SEF, vt autem quadratum,
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            BF, ad rectangulum ſub, BF, FE, ita, BF, ad, FE, ergo omnia
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            quadrata portionis, BSF, ad rectangula ſub portione, BSF, & </s>
            <s xml:id="echoid-s7641" xml:space="preserve">fi-
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            gura, ESF, erunt vt, BF, ad, FE, quod oſtendere opus erat.</s>
            <s xml:id="echoid-s7642" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div760" type="section" level="1" n="448">
          <head xml:id="echoid-head468" xml:space="preserve">THEOREMA XXV. PROPOS. XXVII.</head>
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            <s xml:id="echoid-s7643" xml:space="preserve">SI intra curuam parabolæ duæ vtcunque ducantur rectæ
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            lineę in eandem @terminatæ, quarum vna rectè, altera
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            obliquè axim ſecet, ſint autem conſtitutarum ab eiſdem pa-
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            rabolarum diametri inter ſe æquales: </s>
            <s xml:id="echoid-s7644" xml:space="preserve">Omnia quadrata pa-
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            rabolæ per eam, quæ rectè axim ſecat, conſtitutæ, regula
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            eadem, erunt æqualia rectangulis ſub parabola per obli-
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            quam ad axem conſtituta, regula eadem, & </s>
            <s xml:id="echoid-s7645" xml:space="preserve">ſub figura di-
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            ſtantiarum eiuſdem parabolæ per obliquam ad axem con-
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            ſtitutæ.</s>
            <s xml:id="echoid-s7646" xml:space="preserve"/>
          </p>
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