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

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        <div xml:id="echoid-div391" type="section" level="1" n="235">
          <pb o="157" file="0177" n="177" rhead="LIBER II."/>
        </div>
        <div xml:id="echoid-div392" type="section" level="1" n="236">
          <head xml:id="echoid-head251" xml:space="preserve">B. SECTIO II.</head>
          <p style="it">
            <s xml:id="echoid-s3723" xml:space="preserve">_I_V xta ſecundam habebimus omnia quadrata figuræ, ABID, æquar@
              <lb/>
            rectang. </s>
            <s xml:id="echoid-s3724" xml:space="preserve">ſub, ABID, & </s>
            <s xml:id="echoid-s3725" xml:space="preserve">ſingulis partibus, ABI, AID.</s>
            <s xml:id="echoid-s3726" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div393" type="section" level="1" n="237">
          <head xml:id="echoid-head252" xml:space="preserve">C. SECTIO III.</head>
          <p style="it">
            <s xml:id="echoid-s3727" xml:space="preserve">_I_Vxta tertiam iam dictum eſt in Propoſitione quid colligamus.</s>
            <s xml:id="echoid-s3728" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div394" type="section" level="1" n="238">
          <head xml:id="echoid-head253" xml:space="preserve">D. SECTIO IV.</head>
          <p style="it">
            <s xml:id="echoid-s3729" xml:space="preserve">_I_V xta quartam habemus omnia quadrata figuræ, ABID, pe@ vnicãm
              <lb/>
            lineam, AFI, diuiſæ, æquari omnibus quadratis fi u@arum, AB
              <lb/>
            I, AID, & </s>
            <s xml:id="echoid-s3730" xml:space="preserve">rectangulis bis ſub dictis fig. </s>
            <s xml:id="echoid-s3731" xml:space="preserve">ABI, AID.</s>
            <s xml:id="echoid-s3732" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div395" type="section" level="1" n="239">
          <head xml:id="echoid-head254" xml:space="preserve">E. SECTIO V.</head>
          <p style="it">
            <s xml:id="echoid-s3733" xml:space="preserve">_I_V xta quintam, ſi ſupponamus lineam, AI, bifariam diuidere omnes
              <lb/>
            lineas figuræ, ABID, regula, BD, ſumptas, & </s>
            <s xml:id="echoid-s3734" xml:space="preserve">eaſdem lineam,
              <lb/>
            AC. </s>
            <s xml:id="echoid-s3735" xml:space="preserve">non bifariam diuidere, colligemus rectangula ſub inæqualibus par-
              <lb/>
            tibus, ABC, ACD, cum omnibus quadratis figuræ, ACI, æquari om-
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            nibus quadratis figuræ, ABI.</s>
            <s xml:id="echoid-s3736" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div396" type="section" level="1" n="240">
          <head xml:id="echoid-head255" xml:space="preserve">F. SECTIO VI.</head>
          <p style="it">
            <s xml:id="echoid-s3737" xml:space="preserve">_I_V xta ſextam quid colligatur iam dictum eſt in Propoſitione.</s>
            <s xml:id="echoid-s3738" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div397" type="section" level="1" n="241">
          <head xml:id="echoid-head256" xml:space="preserve">G. SECTIO VII.</head>
          <p style="it">
            <s xml:id="echoid-s3739" xml:space="preserve">_I_V xta ſeptimam colligemus, ſuppoſito, quodfigura, ABID, ſeoetur
              <lb/>
            à ſola linea, AI, vtcunque, dummodo eadem ſecet omnes æquidi-
              <lb/>
            ſtantes ipſi regulæ, BD, in figura, ABID, ductas, & </s>
            <s xml:id="echoid-s3740" xml:space="preserve">in vno tantum
              <lb/>
            puncto, colligemus inquam omnia quadrata figuræ, ABID, & </s>
            <s xml:id="echoid-s3741" xml:space="preserve">omnia
              <lb/>
            quadrata figuræ, ADI, æquari rectangulis bis ſub figuris, ABID, A
              <lb/>
            DI, vna cum omnibus quadratis, ABI.</s>
            <s xml:id="echoid-s3742" xml:space="preserve"/>
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