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

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        <div xml:id="echoid-div1093" type="section" level="1" n="656">
          <p>
            <s xml:id="echoid-s11999" xml:space="preserve">
              <pb o="470" file="0488" n="488" rhead="GEOMETRI Æ"/>
              <figure xlink:label="fig-0488-01" xlink:href="fig-0488-01a" number="330">
                <image file="0488-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0488-01"/>
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            iuxta planum, DF, aſſum-
              <lb/>
            ptæ, erit igitur hic cylin-
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              <note position="left" xlink:label="note-0488-01" xlink:href="note-0488-01a" xml:space="preserve">Coroll. 1.
                <lb/>
              34. l. 3.</note>
            drus ad portionem, DAF,
              <lb/>
            vt, OE, ad compoſitam ex
              <lb/>
            {1/2}. </s>
            <s xml:id="echoid-s12000" xml:space="preserve">OE, & </s>
            <s xml:id="echoid-s12001" xml:space="preserve">{1/6}. </s>
            <s xml:id="echoid-s12002" xml:space="preserve">OA, hanc au-
              <lb/>
            tem rationem habeat, SV,
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            ad aliam altitudinem, erit
              <lb/>
            ergo cylindrus, RQ, ad cy-
              <lb/>
            lindrum altitudinis inuen-
              <lb/>
            tæ, & </s>
            <s xml:id="echoid-s12003" xml:space="preserve">in eadem baſi, PQ,
              <lb/>
            conſtitutum, vt, OE, ad
              <lb/>
            compoſitam ex {1/2}. </s>
            <s xml:id="echoid-s12004" xml:space="preserve">OE, & </s>
            <s xml:id="echoid-s12005" xml:space="preserve">
              <lb/>
            {1/6}. </s>
            <s xml:id="echoid-s12006" xml:space="preserve">OA, .</s>
            <s xml:id="echoid-s12007" xml:space="preserve">i. </s>
            <s xml:id="echoid-s12008" xml:space="preserve">vt cylindrus, R
              <lb/>
            Q, ad portionem, DAF,
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            igitur inuentus cylindrus
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            erit æqualis portioni, DA
              <lb/>
            F. </s>
            <s xml:id="echoid-s12009" xml:space="preserve">Triplicetur nunc alti-
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            tudo inuenti cylindri, & </s>
            <s xml:id="echoid-s12010" xml:space="preserve">
              <lb/>
            fiat conus talis altitudinis,
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            in eadem cum eo baſi, hic
              <lb/>
            igitur conus erit æqualis
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            inuento cylindro, & </s>
            <s xml:id="echoid-s12011" xml:space="preserve">ſub-
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            inde portioni, DAF. </s>
            <s xml:id="echoid-s12012" xml:space="preserve">Eo-
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            dem modo inueniemus cy-
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            lindrum, vel conum æ-
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            qualem portioni, BAH.</s>
            <s xml:id="echoid-s12013" xml:space="preserve"/>
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        <div xml:id="echoid-div1096" type="section" level="1" n="657">
          <head xml:id="echoid-head687" xml:space="preserve">PROBLEMA II. PROPOS. XXV.</head>
          <p>
            <s xml:id="echoid-s12014" xml:space="preserve">SOlido quocunq; </s>
            <s xml:id="echoid-s12015" xml:space="preserve">in eadem baſi, & </s>
            <s xml:id="echoid-s12016" xml:space="preserve">altitudine cum cy-
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            lindro conſtituto, ad quod cylindrus notam rationẽ
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            habeat, cylindrum, & </s>
            <s xml:id="echoid-s12017" xml:space="preserve">conum, inuenire, æqualem dato
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            ſolido.</s>
            <s xml:id="echoid-s12018" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12019" xml:space="preserve">Sit ſolidum quodcunque, DAF, ad quod cylindrus, BF, in eadem
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            baſi, DF, & </s>
            <s xml:id="echoid-s12020" xml:space="preserve">eadẽ altitudine cum eodẽ cõſtitutus, habeat notam ra-
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            tionem. </s>
            <s xml:id="echoid-s12021" xml:space="preserve">Oportet cylindrum inuenire, & </s>
            <s xml:id="echoid-s12022" xml:space="preserve">conum, æqualem dato ſo-
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            lido. </s>
            <s xml:id="echoid-s12023" xml:space="preserve">Fiat ergo, vt cylindrus, BF, ad ſolidum, DAF, ſic altitudo, quæ
              <lb/>
            ſit, AE, ad altitudinem, EI, & </s>
            <s xml:id="echoid-s12024" xml:space="preserve">per, I, ducatur planum producẽs
              <lb/>
            in cylindro, BF, circulum, GK, conſtituenſque cylindrum, GF,
              <lb/>
            igitur, vt, AE, ad, EI, ſic erit cylindrus, BF, ad cylindrum, GF, &</s>
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