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

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          <pb o="3" file="0023" n="23" rhead="LIBERI."/>
        </div>
        <div xml:id="echoid-div23" type="section" level="1" n="22">
          <head xml:id="echoid-head32" xml:space="preserve">E.</head>
          <note position="right" xml:space="preserve">E</note>
          <p>
            <s xml:id="echoid-s264" xml:space="preserve">REgula appellabitur in planis recta linea, cui quædam
              <lb/>
            lineæ ducuntur æquidiſtantes, & </s>
            <s xml:id="echoid-s265" xml:space="preserve">in ſolidis, planum,
              <lb/>
            cui quædam plana ducuntur æquidiſtantia, qualis in ſu-
              <lb/>
            perioribus eſt recta linea, vel planum, cuius reſpectu fu-
              <lb/>
            muntur vertices, vel oppoſita tangentia, cui vel vtraq; </s>
            <s xml:id="echoid-s266" xml:space="preserve">vel
              <lb/>
            alterum tangentium æquidiſtat.</s>
            <s xml:id="echoid-s267" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div24" type="section" level="1" n="23">
          <head xml:id="echoid-head33" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s268" xml:space="preserve">_H_Aec minimè diſcrepant ab bis, quæ in Euclide, Archimede,
              <lb/>
            & </s>
            <s xml:id="echoid-s269" xml:space="preserve">Apollonio, circa vertices, baſes, altitudines, & </s>
            <s xml:id="echoid-s270" xml:space="preserve">tangen-
              <lb/>
            tia, ſiuelineas, ſine plana, aſſamuntur; </s>
            <s xml:id="echoid-s271" xml:space="preserve">cum, licet vniuerſalius, idem,
              <lb/>
            quod ipſi, declarent, vt ijs, qui in ſupra dictorum auctorum opert-
              <lb/>
            bus verſati ſunt innoteſcet facilè, vnde ſine ſcrupulo aſſumemus
              <lb/>
            aliquando ex dictis auctoribus, quæ ex conſimilibus difinitionibus
              <lb/>
            pendent, illis commiſcentes, prout opus fuerit, quæ ex bis dedu-
              <lb/>
            cuntur.</s>
            <s xml:id="echoid-s272" xml:space="preserve"/>
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        <div xml:id="echoid-div25" type="section" level="1" n="24">
          <head xml:id="echoid-head34" xml:space="preserve">III.</head>
          <p>
            <s xml:id="echoid-s273" xml:space="preserve">EXpoſita quacumque figura plana, & </s>
            <s xml:id="echoid-s274" xml:space="preserve">in eiuſdem ambitu
              <lb/>
            ſumpto vt cumque puncto, ab eoque ad alteram eiuf-
              <lb/>
            dem partium ducta quadam recta linea terminata, & </s>
            <s xml:id="echoid-s275" xml:space="preserve">ſuper
              <lb/>
            planum propoſitæ figuræ eleuata, ſihæc per ambitum talis
              <lb/>
            figuræ ſemper æquidiſtanter cuidam rectæ lineæ moueri
              <lb/>
            intelligatur, donec omnem percurrerit ambitum, alterum
              <lb/>
            eiuſdem extremum punctum, quod non fertur per ambi-
              <lb/>
            tum propoſitæ figuræ, deſcribet circuitum planæ figuræ
              <lb/>
            ipſi propoſitæ æquidiſtantis, vt probabitur. </s>
            <s xml:id="echoid-s276" xml:space="preserve">Solidum er-
              <lb/>
              <note position="right" xlink:label="note-0023-02" xlink:href="note-0023-02a" xml:space="preserve">6.huius.</note>
            go, quod compræhenditur vtriſq. </s>
            <s xml:id="echoid-s277" xml:space="preserve">figuris iam dictis, & </s>
            <s xml:id="echoid-s278" xml:space="preserve">ſu-
              <lb/>
            perficie linea quæ reuoluitur, deſcripta, dicetur: </s>
            <s xml:id="echoid-s279" xml:space="preserve">Cylin-
              <lb/>
            dricus; </s>
            <s xml:id="echoid-s280" xml:space="preserve">ſuperficies in reuolutione deſcripta, nec non quod
              <lb/>
            libet illius fruſtum, ſuperficies cylindracea. </s>
            <s xml:id="echoid-s281" xml:space="preserve">Cylindrici
              <lb/>
            oppofitæ baſes dictæ figuræ planæ interſe æquidiſtantes;
              <lb/>
            </s>
            <s xml:id="echoid-s282" xml:space="preserve">latus autem cylindrici, quæuis recta in ſuperficie cylindra-
              <lb/>
            cea oppoſitas baſes pertingens, cui congruit in </s>
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