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

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          <pb o="264" file="0284" n="284" rhead="GEOMETRI Æ"/>
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        <div xml:id="echoid-div628" type="section" level="1" n="364">
          <head xml:id="echoid-head381" xml:space="preserve">COROLL. VI. SECTIO PRIOR.</head>
          <p>
            <s xml:id="echoid-s6585" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s6586" xml:space="preserve">ſexta, & </s>
            <s xml:id="echoid-s6587" xml:space="preserve">eiuſdem figura apparet ſolidum ſimilare ge-
              <lb/>
              <figure xlink:label="fig-0284-01" xlink:href="fig-0284-01a" number="177">
                <image file="0284-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0284-01"/>
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            nitum ex circulo, vel ellipſi, ABC
              <lb/>
            D, ſiue ſit ſphæra, vel ſphæroides, vel
              <lb/>
            tantum ſolidum ſimilare, ad ſolidum ſibi
              <lb/>
            ſimilare genitum ex altera portionum, B
              <lb/>
            AD, BCD, vtramuis, vtex, BAD,
              <lb/>
            ſiue hoc ſit portio ſphæræ, vel ſphæroi-
              <lb/>
            dis, vel tantum ſolidum ſimilare genitum
              <lb/>
            ex, BAD, eſſe vt parallelepipedum ſub
              <lb/>
            altitudine, XC, baſi quadrato, CA, ad
              <lb/>
            parallelepipedum ſub altitudine, XE, baſi
              <lb/>
            quadrato, EA, vel vt cubus, AC, ad pa-
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            rallelepipedum ſub altitudine tripla, EC,
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            baſi quadrato, AE, cum cubo, AE.</s>
            <s xml:id="echoid-s6588" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div630" type="section" level="1" n="365">
          <head xml:id="echoid-head382" xml:space="preserve">SECTIO POSTERIOR.</head>
          <p>
            <s xml:id="echoid-s6589" xml:space="preserve">VNde colligitur in Corollario ſolidum ſimilare genitum ex por-
              <lb/>
            tione, BAD, ad ſibi ſimilare genitum ex portione, BCD,
              <lb/>
            eſſe vt parallelepipedum ſub altitudine, XE, baſi quadrato, EA, ad
              <lb/>
            parallelepipedum ſub altitudine, OAE, baſi quadrato, EC, qua-
              <lb/>
            liacunque ſint illa ſolida ſimilaria, ſiue ſit, AC, axis, ſiue tantum
              <lb/>
            diameter.</s>
            <s xml:id="echoid-s6590" xml:space="preserve"/>
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        <div xml:id="echoid-div631" type="section" level="1" n="366">
          <head xml:id="echoid-head383" xml:space="preserve">COROLLARIVM VII.</head>
          <p>
            <s xml:id="echoid-s6591" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s6592" xml:space="preserve">ſeptima colligitur ſoli-
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              <figure xlink:label="fig-0284-02" xlink:href="fig-0284-02a" number="178">
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            dum ſimilare genitum ex portio-
              <lb/>
            ne, BAF, ad ſibi ſim lare genitum ex
              <lb/>
            portione, CAD, ſiue hæciolida ſint
              <lb/>
            portiones ſphærę, vel ſphæroidis, ſiue
              <lb/>
            tantum ſolida ſimilaria, ſiue, AN,
              <lb/>
            ſit axis, ſiue tantum diameter, eſſe vt
              <lb/>
            parallelepipedum ſub altitudine, XE,
              <lb/>
            baſi quadrato, EA, ad parallelepipe-
              <lb/>
            dum ſub altitudine, XM, baſi qua-
              <lb/>
            drato, MA, vt exemplificaturin præ-
              <lb/>
            ſenti ſigura more ſolito.</s>
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