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

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        <div xml:id="echoid-div984" type="section" level="1" n="586">
          <p>
            <s xml:id="echoid-s10906" xml:space="preserve">
              <pb o="418" file="0438" n="438" rhead="GEOMETRIÆ"/>
            prædicta omnia quadrata, vel rectangula, vt ſupra ad inuicem
              <lb/>
            comparata.</s>
            <s xml:id="echoid-s10907" xml:space="preserve"/>
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        <div xml:id="echoid-div985" type="section" level="1" n="587">
          <head xml:id="echoid-head612" xml:space="preserve">COROLLARIVM XIII.</head>
          <p>
            <s xml:id="echoid-s10908" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10909" xml:space="preserve">13. </s>
            <s xml:id="echoid-s10910" xml:space="preserve">habetur ſimiles conoides hyperbolicas eſſe in tri-
              <lb/>
              <note position="left" xlink:label="note-0438-01" xlink:href="note-0438-01a" xml:space="preserve">Eliciture 1
                <lb/>
              Coro. 50.
                <lb/>
              l. 1.</note>
            pla ratione axium, vel diametrorum earundem, quippe quæ
              <lb/>
            ex ſimilibus hyperbolis naſcuntur: </s>
            <s xml:id="echoid-s10911" xml:space="preserve">lgitur in anteced. </s>
            <s xml:id="echoid-s10912" xml:space="preserve">Corollarij
              <lb/>
            figura, ſi ſupponantur ſimiles hyperbolæ, BAD, HMQ, vt fiant
              <lb/>
            ex illis ſimiles conoides hyperbolicæ, FEG, HTS, iſtæ erunt inter
              <lb/>
            ſe in tripla ratione axium, AC, MP, & </s>
            <s xml:id="echoid-s10913" xml:space="preserve">ſic erit quodlibet ſolidum
              <lb/>
              <note position="left" xlink:label="note-0438-02" xlink:href="note-0438-02a" xml:space="preserve">Coro. 50.
                <lb/>
              l. 1.</note>
            ſimilare genitum ex hyperbola, FEG, ad ſibi ſimilare genitum ex
              <lb/>
            hyperbola, HTS, iuxta regulas, FG, HS.</s>
            <s xml:id="echoid-s10914" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div987" type="section" level="1" n="588">
          <head xml:id="echoid-head613" xml:space="preserve">COROLLARIV M XIV.</head>
          <p>
            <s xml:id="echoid-s10915" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10916" xml:space="preserve">14. </s>
            <s xml:id="echoid-s10917" xml:space="preserve">expoſita eius figura, vt fiat exem plum, reuolua-
              <lb/>
              <figure xlink:label="fig-0438-01" xlink:href="fig-0438-01a" number="299">
                <image file="0438-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0438-01"/>
              </figure>
            tur circa axim, DG, vt ex, EG, fiat
              <lb/>
            cylindrus, EF, & </s>
            <s xml:id="echoid-s10918" xml:space="preserve">ex trilineo, DGB, ſo-
              <lb/>
            lidum, DBGF, quod vocetur: </s>
            <s xml:id="echoid-s10919" xml:space="preserve">Apex
              <lb/>
            hyperbolicus; </s>
            <s xml:id="echoid-s10920" xml:space="preserve">patet ergo cylindrum, E
              <lb/>
            F, ad apicem, BDF, eſſe vt, BD, ad ſui
              <lb/>
            reliquum, dempta ab eodem ſemihy-
              <lb/>
            perbola, BED, vna cum exceſſu, quo
              <lb/>
            ipſa ſuperat {1/3}. </s>
            <s xml:id="echoid-s10921" xml:space="preserve">parall: </s>
            <s xml:id="echoid-s10922" xml:space="preserve">logrammi, BD, & </s>
            <s xml:id="echoid-s10923" xml:space="preserve">
              <lb/>
            {1/6}. </s>
            <s xml:id="echoid-s10924" xml:space="preserve">BM; </s>
            <s xml:id="echoid-s10925" xml:space="preserve">& </s>
            <s xml:id="echoid-s10926" xml:space="preserve">ſic eſſe patet, quodlibet ſoli-
              <lb/>
            dum ſimilate genitum ex, BD, ad ſibi
              <lb/>
            ſimilare genitum ex ſemihyperbola, BE
              <lb/>
            D, iuxta communem regulam, ED.</s>
            <s xml:id="echoid-s10927" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div989" type="section" level="1" n="589">
          <head xml:id="echoid-head614" xml:space="preserve">COROLLARIVM XV.</head>
          <p>
            <s xml:id="echoid-s10928" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s10929" xml:space="preserve">15. </s>
            <s xml:id="echoid-s10930" xml:space="preserve">expoſita
              <lb/>
              <figure xlink:label="fig-0438-02" xlink:href="fig-0438-02a" number="300">
                <image file="0438-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0438-02"/>
              </figure>
            eius figura, vt fiat exẽ-
              <lb/>
            p@u@n, eadem voluatur cir-
              <lb/>
            ca axim, GD, vt ex, FD,
              <lb/>
            fiat cylindrus, FH, & </s>
            <s xml:id="echoid-s10931" xml:space="preserve">ex
              <lb/>
            hyperbola, CBD, ſolidum,
              <lb/>
            CBDNH, quod voeetur:
              <lb/>
            </s>
            <s xml:id="echoid-s10932" xml:space="preserve">Sem anulus ſtr@ctus hyper-
              <lb/>
            bolicus: </s>
            <s xml:id="echoid-s10933" xml:space="preserve">@ntelligantur autẽ
              <lb/>
            ſe@nper hæc ſolida ſecari
              <lb/>
            per axem, vt ijs producan-
              <lb/>
            tur figuræ, quæ in </s>
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