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

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          <p>
            <s xml:id="echoid-s6513" xml:space="preserve">
              <pb o="260" file="0280" n="280" rhead="GEOMETRIÆ"/>
            nicum, EDP, eſſe ſubduplum portionis ſphæræ, vel ſphæroidis, D
              <lb/>
            EP; </s>
            <s xml:id="echoid-s6514" xml:space="preserve">hæc autem etiam ab alijs oſteniſa ſunt. </s>
            <s xml:id="echoid-s6515" xml:space="preserve">Verum ſi ſiguræ ſimiles
              <lb/>
              <figure xlink:label="fig-0280-01" xlink:href="fig-0280-01a" number="172">
                <image file="0280-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0280-01"/>
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            iam dictæ non ſint circuli, vel elli-
              <lb/>
            pſes, ſed aliæ vtcunque figuræ, vt
              <lb/>
            ex. </s>
            <s xml:id="echoid-s6516" xml:space="preserve">g. </s>
            <s xml:id="echoid-s6517" xml:space="preserve">quadrata, veluti in figuris in
              <lb/>
            tra ellipſes exemplificare volu, dia
              <lb/>
            metros homologas in figuris gen -
              <lb/>
            tricibus habentia, adhuc eædem
              <lb/>
            rationes ſupradictis erunt inter hęc
              <lb/>
            ſolida ad inuicem ſimilaria genita
              <lb/>
            ex, FP, & </s>
            <s xml:id="echoid-s6518" xml:space="preserve">portione, DEP, ſiue
              <lb/>
            ex triangulo, EDP, & </s>
            <s xml:id="echoid-s6519" xml:space="preserve">portione,
              <lb/>
            DEP, baſes habentia quadratas;
              <lb/>
            </s>
            <s xml:id="echoid-s6520" xml:space="preserve">patet autem hic, quod ſolidum ſi-
              <lb/>
            milare genitum ex, FP, baſem ha-
              <lb/>
            bens rectilineam, ſicuti eſt priſma,
              <lb/>
            ita & </s>
            <s xml:id="echoid-s6521" xml:space="preserve">hoc nomine vocari poteſt
              <lb/>
            magis particulari, veluti & </s>
            <s xml:id="echoid-s6522" xml:space="preserve">ſoli-
              <lb/>
            dum ſimilare genitum ex triangu-
              <lb/>
            lo, EDP, nomine piramidis vo-
              <lb/>
            cari poteſt, dum baſim habet recti-
              <lb/>
            lineam.</s>
            <s xml:id="echoid-s6523" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s6524" xml:space="preserve">Deniq; </s>
            <s xml:id="echoid-s6525" xml:space="preserve">vniuerſaliſſimè habetur
              <lb/>
            ratio quorumcumque duorum ſo-
              <lb/>
            lidorum genitorum ex, FP, & </s>
            <s xml:id="echoid-s6526" xml:space="preserve">por-
              <lb/>
            tione, DEP, ſiue ex triangulo, D
              <lb/>
            EP, & </s>
            <s xml:id="echoid-s6527" xml:space="preserve">portione, DEP, iuxta re-
              <lb/>
            gulam, DP, quacunque in ſimili-
              <lb/>
            bus figuris variatione facta. </s>
            <s xml:id="echoid-s6528" xml:space="preserve">Quæ
              <lb/>
            autem in huius Theorematis decla-
              <lb/>
            ratione animaduerſa ſunt, memo-
              <lb/>
            ria teneantur, nam & </s>
            <s xml:id="echoid-s6529" xml:space="preserve">ſequentia
              <lb/>
            conſimili methodo, ſed breuiori
              <lb/>
            declarabimus; </s>
            <s xml:id="echoid-s6530" xml:space="preserve">ſuſſiciat autem tot
              <lb/>
            figurarũ variationes in duabus tan-
              <lb/>
            tum exemplificaſſe, quas ſolido-
              <lb/>
            rum indicant baſes, nempè circu-
              <lb/>
            lus, & </s>
            <s xml:id="echoid-s6531" xml:space="preserve">quadratum, inſcriptum ei-
              <lb/>
            dem circulo, habens vtrunq; </s>
            <s xml:id="echoid-s6532" xml:space="preserve">dia-
              <lb/>
            metrum in figura genitrice, impo-
              <lb/>
            ſterum enim cuin ſine figurarum
              <lb/>
            confuſione id ægrè ſieri poſſit vna tantum poſitione contenti </s>
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