Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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        <div xml:id="echoid-div677" type="section" level="1" n="396">
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            <s xml:id="echoid-s6899" xml:space="preserve">
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            ad ellipſim, BDMG; </s>
            <s xml:id="echoid-s6900" xml:space="preserve">ponatur hic illa figura, &</s>
            <s xml:id="echoid-s6901" xml:space="preserve">, vt fiatnoſtrum
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              <figure xlink:label="fig-0300-01" xlink:href="fig-0300-01a" number="195">
                <image file="0300-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0300-01"/>
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            exemplum, reuoluatur, AR, circa
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            manentem axim, CR; </s>
            <s xml:id="echoid-s6902" xml:space="preserve">cylindrus ergo
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            genitus ex, AR, ad ſolidum genitum
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            in reuolutione ex ellipſi, BDMG, erit
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            vt, AR, ad ellipſim, BDMG, ſic
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            etiam, vt diximus, cætera ſolida ſimi-
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            laria ex ijſdem per deſcriptionem ſimi-
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            lium figurarum genita: </s>
            <s xml:id="echoid-s6903" xml:space="preserve">Vocetur au
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            tem ſolidum in reuolutione genitum
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            ex ellipſi, BDMG; </s>
            <s xml:id="echoid-s6904" xml:space="preserve">Anulus ſtrictus
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            ellipticus altera parte latior.</s>
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        <div xml:id="echoid-div679" type="section" level="1" n="397">
          <head xml:id="echoid-head415" xml:space="preserve">SECTIO POSTERIOR.</head>
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            <s xml:id="echoid-s6906" xml:space="preserve">IN Corollario colligitur ſolidum ſimilare genitum ex, AR, ad ſo-
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            lidum ſibi ſimilare genitum ex ellipſi, BDMG, ambo iuxta
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            communem regulam, FR, eſſe vt ſolidum ſimilare genitum ex eo-
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            dem, AR, ad ſolidum ſimilare ſibi genitum ex eadem ellipſi, BDM
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            G, ſed ambo genita iuxta communem regulam, CR. </s>
            <s xml:id="echoid-s6907" xml:space="preserve">Exemplum
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            patebit, ſi concipies, AR, reuolui circa manentem axim, FR, cy-
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            lindrus enim tunc genitus, ab, AR, ad anulum ſtrictum ellipticum
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            altera parte latiorem, genitum ab ellipſi, BDMG, habebit ean-
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            dem rationem, quam ſupradictus cylindrus ad ſupradictum anulum,
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            Crideò (amplius colligemus) quoniam, permutando, cylindrus ge-
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            nitus in reuolutione circa, CR, facta, ad cylindrum genitum in re-
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            uolutione circa, FR, eſt vt anulus factus in illa reuolutione ad anu-
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            lum factum in hac, propterea ſicuti primus cylindrus ad ſecundum
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              <note position="left" xlink:label="note-0300-01" xlink:href="note-0300-01a" xml:space="preserve">N. Cor.4.
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              Gen. 34.
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              lib. 2.</note>
            eſt, vt, FR, ad, RC, ita primus anulus ad ſecundum erit, vt, FR,
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            ad, RC, ſic etiam erunt ſolida ſimilaria genita ex eiſdem, iuxtare-
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            gulas, FR, RC.</s>
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        <div xml:id="echoid-div681" type="section" level="1" n="398">
          <head xml:id="echoid-head416" xml:space="preserve">COROLL. XXIX. SECTIO PRIMA.</head>
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            <s xml:id="echoid-s6909" xml:space="preserve">IN Propoſit. </s>
            <s xml:id="echoid-s6910" xml:space="preserve">33. </s>
            <s xml:id="echoid-s6911" xml:space="preserve">colligimus ſolidum ſimilare genitum ex, AX,
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            dempto ſolido ſimilari genito ex, CX, ad ſolidum ſibi ſimilare
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            genitum ex figura, BDMXT, dempto ſolido ſimilari genito ex fi-
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            gura, BGMXT, eſſe vt, AR, ad ellipſim, BDMG; </s>
            <s xml:id="echoid-s6912" xml:space="preserve">quod ſi ſu-
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            mantur ſolida ſimilaria genita ex eiſdem iuxta communem regulam,
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            TX, vel, CR, eandem rationem inter ſe habere comperientur di-
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            cta reſidua ſcilicet quam habet, AR, ad ellipſim, BDMG. </s>
            <s xml:id="echoid-s6913" xml:space="preserve">Expo-
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            natur figura, &</s>
            <s xml:id="echoid-s6914" xml:space="preserve">, vt fiat exemplum, reuoluatur, AX, circa </s>
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