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

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        <div xml:id="echoid-div777" type="section" level="1" n="459">
          <pb o="324" file="0344" n="344" rhead="GEOMETRIÆ"/>
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        <div xml:id="echoid-div779" type="section" level="1" n="460">
          <head xml:id="echoid-head480" xml:space="preserve">A. COROLL. SECT IO I.</head>
          <note position="left" xml:space="preserve">A</note>
          <p style="it">
            <s xml:id="echoid-s7795" xml:space="preserve">_H_Inc habetur omnia quadrata trilineorum ſub tangentibus, & </s>
            <s xml:id="echoid-s7796" xml:space="preserve">ſe-
              <lb/>
            cantibus, veluti ſunt, AD, DC, regulis tangentibus, eſſe
              <lb/>
            inter ſe, vt omnia quadrata parallelogrammorum ſub eiſdem tangen-
              <lb/>
            tibus, & </s>
            <s xml:id="echoid-s7797" xml:space="preserve">ſecantibus, regulis ijſdem tangentibus, quoniam dictorum
              <lb/>
            trilineorum omnia quadrata ſunt ſextæ partes omnium quadratorum di-
              <lb/>
            ctorum parallelogram norum; </s>
            <s xml:id="echoid-s7798" xml:space="preserve">Etideò proipſis etiam has concluſiones
              <lb/>
            colligemus, ſcilicet.</s>
            <s xml:id="echoid-s7799" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div780" type="section" level="1" n="461">
          <head xml:id="echoid-head481" xml:space="preserve">B. SECTIO II.</head>
          <note position="left" xml:space="preserve">B</note>
          <p style="it">
            <s xml:id="echoid-s7800" xml:space="preserve">_S_I dicti triliaei fuerint in eadem altitudine, quòd omnia quadrata
              <lb/>
            earundem erunt inter ſe, vt baſium quadrata @ſ. </s>
            <s xml:id="echoid-s7801" xml:space="preserve">tangentium; </s>
            <s xml:id="echoid-s7802" xml:space="preserve">Et
              <lb/>
            ſi fuerint dictitrilinei in eadem baſi ſcilicet tangente, dicta omnia qua-
              <lb/>
            drata erunt inter ſe, vt altitudines, vel, vt ſecantes æqualiter baſibus
              <lb/>
            ſcilicettangentibus, inclinata.</s>
            <s xml:id="echoid-s7803" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div781" type="section" level="1" n="462">
          <head xml:id="echoid-head482" xml:space="preserve">C. SECTIO III.</head>
          <note position="left" xml:space="preserve">C</note>
          <p style="it">
            <s xml:id="echoid-s7804" xml:space="preserve">_I_Tem quod omnia quadrata dictorum trilineorum habebunt inter ſe
              <lb/>
            rationem compoſitam ex ratione quadratorum baſium, & </s>
            <s xml:id="echoid-s7805" xml:space="preserve">ex r atio-
              <lb/>
            ne altitudinum, vel ſecantium æqualiter baſibus, ſcilicet tangenti-
              <lb/>
            bus, inclinatarum.</s>
            <s xml:id="echoid-s7806" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div782" type="section" level="1" n="463">
          <head xml:id="echoid-head483" xml:space="preserve">D. SECTIO IV.</head>
          <note position="left" xml:space="preserve">D</note>
          <p style="it">
            <s xml:id="echoid-s7807" xml:space="preserve">_P_Ariter quod omnia quadrata dictorum trilineorum, quorum tan-
              <lb/>
            gentium quadrata altitudinibus, vel ſecantibus æqualiter tangen-
              <lb/>
            t
              <unsure/>
            ibus inclinatis reciprocantur, eſſe æqualia; </s>
            <s xml:id="echoid-s7808" xml:space="preserve">& </s>
            <s xml:id="echoid-s7809" xml:space="preserve">quæ ſunt æqualia, eſſe
              <lb/>
            trilineorum, quorum baſium, vel tangentium quadrata altitudinibus,
              <lb/>
            vel ſecantibus equaliter tangentibus inclinatis, reciprocantur.</s>
            <s xml:id="echoid-s7810" xml:space="preserve"/>
          </p>
          <figure number="231">
            <image file="0344-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0344-01"/>
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