Ceva, Giovanni, Geometria motus, 1692

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            <p type="main">
              <s id="s.000614">
                <pb pagenum="63" xlink:href="022/01/069.jpg"/>
              propoſiti ſolidi erunt omnes ſimul primæ, quæ interſę </s>
            </p>
            <p type="main">
              <s id="s.000615">
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              æquales ſunt, ad omnes ſimul ſecundas vt omnes tertiæ,
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              his partibus interſe æqualibus, ad omnes quartas; ſcilicet
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              erunt omnia triangula priſmatis, ſeu ipſum priſma ad om­
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              nia triangula propoſiti ſolidi, ſeu ad ipſum ſolidum, vt om­
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              nes circuli eius cylindri, qui oritur ex conuerſione figuræ
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              ADCA circa axem CD, hoc eſt vt ipſum ſolidum rotun­
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              dum, ſeu cylindrus ad omnes ſimul circulos ſolidi rotundi
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              geniti ex rotatione figuræ AHDCA circa axem
                <expan abbr="ipsũ">ipsum</expan>
              CD,
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              ſeu ad ipſum propoſitum ſolidum. </s>
              <s id="s.000616">Quod &c. </s>
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              <s id="s.000617">
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                <emph type="italics"/>
              lemmæ
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              18.
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              in
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              libro de dim.
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              </s>
              <s id="s.000618">parab. </s>
              <s id="s.000619">Euang.
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              Tęrricel.
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              </s>
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            <p type="main">
              <s id="s.000620">
                <emph type="center"/>
              PROP. XIX. THEOR. XV.
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              </s>
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              <s id="s.000621">ET rurſus ipſa manente figura patet, ſi ducantur HR,
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              LS parallelæ MD, fore non ſolum figuram AHDPA,
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              ſimilem, ac æqualem BLDQB; verùm etiam APRHA ipſi
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              BLSQB: Cum ita ſit, aio, eundem cylindrum ad ſoli­
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              dum rotundum genitum, ex volutatione figuræ APD cir­
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              ca eundem axem CD eandem rationem habere, ac priſma
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                <expan abbr="prædictũ">prædictum</expan>
              , cuius baſis ACB, altitudo AP ad ſolidum, quod
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              ſupereſt ex ipſo priſmate, dempto ſolido ACBLDHA. </s>
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            <p type="main">
              <s id="s.000622">Nam ex præterita propoſitione nouimus, dictum priſma
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              ad ſolidum eius partem ACBLDHA eſſe vt cylindrus or­
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              tus ex conuerſione rectanguli CP circa axem CD ad par­
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              tem eius rotundum circa axem eundem CD conuerſa fi­
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              gura ADC, ergo per conuerſionem rationis, erit id quod
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              propoſuimus. </s>
            </p>
            <p type="main">
              <s id="s.000623">
                <emph type="center"/>
              DEF. IV.
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              </s>
            </p>
            <p type="main">
              <s id="s.000624">QVodcunque ex dictis propoſitis ſolidis vocetur ab
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              ea figura, iuxta quam intelligitur ortum. </s>
              <s id="s.000625">Scilicet
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              ACBLDHA dicatur à figura AHDCA, & alte­
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              rum, quod fuit reſiduum prædictum dicatur à figura AH­
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              DPA. </s>
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          </chap>
        </body>
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