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

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        <div xml:id="echoid-div25" type="section" level="1" n="24">
          <p>
            <s xml:id="echoid-s282" xml:space="preserve">
              <pb o="4" file="0024" n="24" rhead="GEOMETRIÆ"/>
            ne ipſa linea reuoluta; </s>
            <s xml:id="echoid-s283" xml:space="preserve">& </s>
            <s xml:id="echoid-s284" xml:space="preserve">tandem regula lateris cylindrici
              <lb/>
            dicetur illa, cui reuoluta ſemper manet æquidiſtans.</s>
            <s xml:id="echoid-s285" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div27" type="section" level="1" n="25">
          <head xml:id="echoid-head35" xml:space="preserve">A. IV.</head>
          <note position="left" xml:space="preserve">A</note>
          <p>
            <s xml:id="echoid-s286" xml:space="preserve">EXpoſita plana quacumq, figura; </s>
            <s xml:id="echoid-s287" xml:space="preserve">extra cuius planum ad
              <lb/>
            vtramuis eiuſdem partium quodcũque fit aſlumptum
              <lb/>
            punctum, ſi ab eo ad quoduis punctum illius ambitus recta
              <lb/>
            linea ducatur, quæ indefinitè quoq; </s>
            <s xml:id="echoid-s288" xml:space="preserve">ſit producta, & </s>
            <s xml:id="echoid-s289" xml:space="preserve">hęc per
              <lb/>
            eiuſdem ambitum moueatur donec ipſum totum percur-
              <lb/>
            rerit ambitum; </s>
            <s xml:id="echoid-s290" xml:space="preserve">ſumptum punctum erit vertex ſolidi, quod
              <lb/>
            compræhenditur ſuperficie deſcripta à linea, quæ reuolui-
              <lb/>
            tur inter ambitum propoſitæ figurę, & </s>
            <s xml:id="echoid-s291" xml:space="preserve">ſumptum punctum
              <lb/>
            clauſa, vertex, inquam ſumptus reſpectu propoſitę figuræ, vt
              <lb/>
            probabitur. </s>
            <s xml:id="echoid-s292" xml:space="preserve">Tale ſolidum autem dicatur; </s>
            <s xml:id="echoid-s293" xml:space="preserve">Conicus, cuius
              <lb/>
              <note position="left" xlink:label="note-0024-02" xlink:href="note-0024-02a" xml:space="preserve">IS.huius.</note>
            baſis propoſita figura, & </s>
            <s xml:id="echoid-s294" xml:space="preserve">ver tex dictum punctum; </s>
            <s xml:id="echoid-s295" xml:space="preserve">ſuperfi-
              <lb/>
            cies deſcripta linea, quę reuoluitur, & </s>
            <s xml:id="echoid-s296" xml:space="preserve">iacet inter ambitum
              <lb/>
            propoſitę figuræ, & </s>
            <s xml:id="echoid-s297" xml:space="preserve">dictum punctum, & </s>
            <s xml:id="echoid-s298" xml:space="preserve">quodlibet illius
              <lb/>
            fruſtum dicatur; </s>
            <s xml:id="echoid-s299" xml:space="preserve">ſuperficies. </s>
            <s xml:id="echoid-s300" xml:space="preserve">Conicularis; </s>
            <s xml:id="echoid-s301" xml:space="preserve">illæ verò rectæ
              <lb/>
            lineæ, quæ in eadem reperiuntur, quibus congruit reuolu-
              <lb/>
            tainter verticem, & </s>
            <s xml:id="echoid-s302" xml:space="preserve">ambitum baſis concluſa, vocentur, la-
              <lb/>
            tera eiuſdem Conici.</s>
            <s xml:id="echoid-s303" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div29" type="section" level="1" n="26">
          <head xml:id="echoid-head36" xml:space="preserve">COROLLARIVM.</head>
          <p style="it">
            <s xml:id="echoid-s304" xml:space="preserve">_E_X hac, & </s>
            <s xml:id="echoid-s305" xml:space="preserve">autecedentidefinitione, petet cylindrum eſſe cylindri-
              <lb/>
            cum, & </s>
            <s xml:id="echoid-s306" xml:space="preserve">conum eſſe conicum, eos ſcilicet, qui ab Apollonio,
              <lb/>
            & </s>
            <s xml:id="echoid-s307" xml:space="preserve">Sereno definiuntur.</s>
            <s xml:id="echoid-s308" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div30" type="section" level="1" n="27">
          <head xml:id="echoid-head37" xml:space="preserve">B.</head>
          <note position="left" xml:space="preserve">B</note>
          <p>
            <s xml:id="echoid-s309" xml:space="preserve">CYlindricirecti dicentur, cum eorum latera fuerint ad
              <lb/>
            rectos angulos baſibus, ſcaleni verò, cum non fue-
              <lb/>
            rint ad rectos angulos eiſdem: </s>
            <s xml:id="echoid-s310" xml:space="preserve">Conicorum verò, & </s>
            <s xml:id="echoid-s311" xml:space="preserve">cylin-
              <lb/>
            dricorum fruſta vocabuntur, quę per plana baſibus pa-
              <lb/>
            rallela (pro conſcis verſus ipſas baſes) ab ijſdem abſcin-
              <lb/>
            duatur.</s>
            <s xml:id="echoid-s312" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div31" type="section" level="1" n="28">
          <head xml:id="echoid-head38" xml:space="preserve">V.</head>
          <p>
            <s xml:id="echoid-s313" xml:space="preserve">AXis, diameter, figuræ planę, vel ſolidę, ordinatim ap-
              <lb/>
            plicatę adeaſdem, lineæ, iuxta quas poſſunt, &</s>
            <s xml:id="echoid-s314" xml:space="preserve">c.</s>
            <s xml:id="echoid-s315" xml:space="preserve"/>
          </p>
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