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

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        <div xml:id="echoid-div235" type="section" level="1" n="153">
          <pb o="100" file="0120" n="120" rhead="GEOMETRIÆ"/>
        </div>
        <div xml:id="echoid-div237" type="section" level="1" n="154">
          <head xml:id="echoid-head167" xml:space="preserve">COROLLARIVM.</head>
          <p style="it">
            <s xml:id="echoid-s2436" xml:space="preserve">_H_ Inc patet, quoniam oppoſitæ tangentes regula quacunque in data
              <lb/>
              <note position="left" xlink:label="note-0120-01" xlink:href="note-0120-01a" xml:space="preserve">_Corol. 1._
                <lb/>
              _lib. 1._</note>
            figura duci poſſunt, etiam omnes lineas datæ figuræ regula qua-
              <lb/>
            cunq; </s>
            <s xml:id="echoid-s2437" xml:space="preserve">recta linea propoſita haberi poſſe, tum recti, tum etiam eiuſdem
              <lb/>
            obliquitranſitus.</s>
            <s xml:id="echoid-s2438" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div239" type="section" level="1" n="155">
          <head xml:id="echoid-head168" xml:space="preserve">II.</head>
          <p>
            <s xml:id="echoid-s2439" xml:space="preserve">SI, propoſito quocunq; </s>
            <s xml:id="echoid-s2440" xml:space="preserve">ſolido, eiuſdem oppoſita plana tan-
              <lb/>
              <note position="left" xlink:label="note-0120-02" xlink:href="note-0120-02a" xml:space="preserve">Corol. 1.
                <lb/>
              lib. 1.</note>
            gentia regula quacunque ducta fuerint, hinc inde inde-
              <lb/>
            finitè producta, quorum alterum verſus reliquum moueatur
              <lb/>
            ſemper eidem ęquidiſtans, donec illi congruerit; </s>
            <s xml:id="echoid-s2441" xml:space="preserve">ſingula pla-
              <lb/>
              <note position="left" xlink:label="note-0120-03" xlink:href="note-0120-03a" xml:space="preserve">Poſt Se-
                <lb/>
              cund. l. 1.</note>
            na, quę in toto motu concipiuntur in propoſito ſolido, ſimul
              <lb/>
            collecta, vocentur: </s>
            <s xml:id="echoid-s2442" xml:space="preserve">Omnia plana propoſiti ſolidi, ſumpta, re-
              <lb/>
              <note position="left" xlink:label="note-0120-04" xlink:href="note-0120-04a" xml:space="preserve">E. Defin.
                <lb/>
              Sec. lib. 1.</note>
            gula eorundem vno.</s>
            <s xml:id="echoid-s2443" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div241" type="section" level="1" n="156">
          <head xml:id="echoid-head169" xml:space="preserve">COROLLARIVM.</head>
          <p style="it">
            <s xml:id="echoid-s2444" xml:space="preserve">_H_ Inc etiam diſcimus, veluti propoſiti ſolidi oppoſita tangentia pla-
              <lb/>
            na quacunque regula duci poſſunt, ita eiuſdem omnia plana re-
              <lb/>
            gula quocunq; </s>
            <s xml:id="echoid-s2445" xml:space="preserve">plano haberi poſſe.</s>
            <s xml:id="echoid-s2446" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div242" type="section" level="1" n="157">
          <head xml:id="echoid-head170" xml:space="preserve">III.</head>
          <p>
            <s xml:id="echoid-s2447" xml:space="preserve">SI oppoſitis tangentibus planis occurrant interius duæ re-
              <lb/>
              <note position="left" xlink:label="note-0120-05" xlink:href="note-0120-05a" xml:space="preserve">Corol. 1.
                <lb/>
              lib. 1.</note>
            ctę lineę, vna perpendiculariter, reliqua obliquè pun-
              <lb/>
            cta, quę ſunt comm unes ſectiones propoſitæ lineæ perpendi-
              <lb/>
            culariter incidentis, & </s>
            <s xml:id="echoid-s2448" xml:space="preserve">ſingulorum planorum, quæ collecta
              <lb/>
            dicuntur, omnia plana (ita tamen producta, vt eaſdem ſecare
              <lb/>
            poſſint) ſiue puncta, quę ſunt communes ſectiones eiuſdem,
              <lb/>
            & </s>
            <s xml:id="echoid-s2449" xml:space="preserve">moti plani, fiuntq; </s>
            <s xml:id="echoid-s2450" xml:space="preserve">in toto motu, ſimul collecta vocentur:
              <lb/>
            </s>
            <s xml:id="echoid-s2451" xml:space="preserve">Omnia puncta recti tranſitus propoſitæ lineæ perpendicula-
              <lb/>
            riter incidentis; </s>
            <s xml:id="echoid-s2452" xml:space="preserve">quę in obliquè incidente vocentur, eiuſdem
              <lb/>
            obliqui tranſitus.</s>
            <s xml:id="echoid-s2453" xml:space="preserve"/>
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