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

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            <s xml:id="echoid-s1885" xml:space="preserve">
              <pb o="74" file="0094" n="94" rhead="GEOMETRIÆ"/>
            quæ in cylindricis producant figuras, IM, RT, in conicis verò, O
              <lb/>
            M, ST, ſecent verò plana tangentia in rectis, IC, MF, Od; </s>
            <s xml:id="echoid-s1886" xml:space="preserve">r ℟,
              <lb/>
            Tp, So, iſtæ ergo erunt ad inuicem parallelæ, & </s>
            <s xml:id="echoid-s1887" xml:space="preserve">tangent figuras,
              <lb/>
              <note position="left" xlink:label="note-0094-01" xlink:href="note-0094-01a" xml:space="preserve">16. Vnd.
                <lb/>
              Elem.</note>
            IM, RT, OM, ST, eadem verò planaſecent plana, BG, Zl, in
              <lb/>
              <note position="left" xlink:label="note-0094-02" xlink:href="note-0094-02a" xml:space="preserve">Corol. 9.</note>
              <figure xlink:label="fig-0094-01" xlink:href="fig-0094-01a" number="50">
                <image file="0094-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0094-01"/>
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            rectis, CF, ℟ p. </s>
            <s xml:id="echoid-s1888" xml:space="preserve">Quod ergo figuræ,
              <lb/>
              <note position="left" xlink:label="note-0094-03" xlink:href="note-0094-03a" xml:space="preserve">Corol. 18.</note>
            IM, RT, vel, OM, ST, ſint ſimi-
              <lb/>
            les baſibus, & </s>
            <s xml:id="echoid-s1889" xml:space="preserve">ijſdem ſimiliter poſitę
              <lb/>
              <note position="left" xlink:label="note-0094-04" xlink:href="note-0094-04a" xml:space="preserve">@2. Et 19.
                <lb/>
              huius.</note>
            iam oſtenſum fuit, ex quo fit, vt & </s>
            <s xml:id="echoid-s1890" xml:space="preserve">
              <lb/>
            ipſarum, & </s>
            <s xml:id="echoid-s1891" xml:space="preserve">quarumcunq; </s>
            <s xml:id="echoid-s1892" xml:space="preserve">ſic in prę-
              <lb/>
            fatis ſolidis producibilium ſimilium
              <lb/>
            figurarum homologæ duabus qui-
              <lb/>
            buſdam regulis, vt ex. </s>
            <s xml:id="echoid-s1893" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s1894" xml:space="preserve">ipſis, HG,
              <lb/>
            Yl, ſemper æquidiſtent. </s>
            <s xml:id="echoid-s1895" xml:space="preserve">Reliquum
              <lb/>
            eſt autem, vt probemus, CF, ℟ p,
              <lb/>
            vel, dF, op, eſſe prædictarum in-
              <lb/>
            cidentes. </s>
            <s xml:id="echoid-s1896" xml:space="preserve">Cumergo duę, IC, CF,
              <lb/>
            duabus, LD. </s>
            <s xml:id="echoid-s1897" xml:space="preserve">DG, ęquidiſtentan-
              <lb/>
              <note position="left" xlink:label="note-0094-05" xlink:href="note-0094-05a" xml:space="preserve">10. Vnd.
                <lb/>
              Elem.</note>
            guli, ICF, LDG, æquales erunt,
              <lb/>
            ſic etiam probabimus eſſe æquales,
              <lb/>
            R ℟ p, Xfl, cum verò, IC, ſit e-
              <lb/>
            tiam æqualis, LD, & </s>
            <s xml:id="echoid-s1898" xml:space="preserve">R ℟, ipſi,
              <lb/>
            Xf, necnon, CF, ipſi, DG, &</s>
            <s xml:id="echoid-s1899" xml:space="preserve">,
              <lb/>
            ℟ p, ipſi, fl, erit, IC, ad, R ℟, vt,
              <lb/>
            CF, ad, ℟ p, & </s>
            <s xml:id="echoid-s1900" xml:space="preserve">incidunt ipſis, IC,
              <lb/>
            MF, R ℟, Tp, ad eundem angu-
              <lb/>
            lum ex eadem parte, ergo, CF, ℟
              <lb/>
            p, erunt incidentes ſimilium figura-
              <lb/>
            rum, IM, RT, & </s>
            <s xml:id="echoid-s1901" xml:space="preserve">oppoſitarum tan-
              <lb/>
              <note position="left" xlink:label="note-0094-06" xlink:href="note-0094-06a" xml:space="preserve">@4. huius.</note>
            gentium, IC, MF; </s>
            <s xml:id="echoid-s1902" xml:space="preserve">R ℟, Tp, ea-
              <lb/>
            dem ratione demonſtrabimus, dF,
              <lb/>
            op, eſſe incidentes ſimilium figura-
              <lb/>
            rum, OM, ST, & </s>
            <s xml:id="echoid-s1903" xml:space="preserve">oppoſitarum tan-
              <lb/>
            gentium, Od, MF; </s>
            <s xml:id="echoid-s1904" xml:space="preserve">So, Tp, eſt
              <lb/>
            autem, dF, ad, op, vt, dE, ad,
              <lb/>
            o &</s>
            <s xml:id="echoid-s1905" xml:space="preserve">, ſcilicet, vt, DE, ad, f &</s>
            <s xml:id="echoid-s1906" xml:space="preserve">, nam,
              <lb/>
            DE, f &</s>
            <s xml:id="echoid-s1907" xml:space="preserve">, ſunt ſimiliter ad eandem
              <lb/>
            partem diuiſæ in punctis, do, (ete-
              <lb/>
              <note position="left" xlink:label="note-0094-07" xlink:href="note-0094-07a" xml:space="preserve">@7. Vnd.
                <lb/>
              Elem.</note>
            nim altitudines dictorum ſolidorum per plana, IF, Rp, ſimiliter ad
              <lb/>
            eandem partem diuiduntur) ergo, dF, op, æquidiſtantes oppoſitis
              <lb/>
            tangentibus, BE, DG, Z &</s>
            <s xml:id="echoid-s1908" xml:space="preserve">, fl, ſunt homologæ figurarum ſimi-
              <lb/>
            lium, EDG, & </s>
            <s xml:id="echoid-s1909" xml:space="preserve">fl, quarum & </s>
            <s xml:id="echoid-s1910" xml:space="preserve">oppoſitarum tangentium incidentes
              <lb/>
            erunt ipſæ, ED, & </s>
            <s xml:id="echoid-s1911" xml:space="preserve">f. </s>
            <s xml:id="echoid-s1912" xml:space="preserve">Eodem modo oſtendemus, CF, ℟ p, </s>
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