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

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        <div xml:id="echoid-div1118" type="section" level="1" n="669">
          <p>
            <s xml:id="echoid-s12191" xml:space="preserve">
              <pb o="476" file="0496" n="496" rhead="GEO METRIÆ"/>
            dicto anulo @tricto) cui adijciatur in directum, HI, ipſi, DC, æqua
              <lb/>
            lis, deinde tota, FI, bifariam diuidatur in, G, & </s>
            <s xml:id="echoid-s12192" xml:space="preserve">producta, DC,
              <lb/>
            verſus, C, indefinitè in ea ſumatur, AD, æqualis ipſi, GI, & </s>
            <s xml:id="echoid-s12193" xml:space="preserve">ab-
              <lb/>
            ſciſla ab eadem ad punctum, A, ipſa, AR, eidem, CD, ęquali, in-
              <lb/>
            telligatur circa, AR, diametrum deſcriptus circulus, AR, ęqualis,
              <lb/>
              <figure xlink:label="fig-0496-01" xlink:href="fig-0496-01a" number="335">
                <image file="0496-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0496-01"/>
              </figure>
            CD. </s>
            <s xml:id="echoid-s12194" xml:space="preserve">Dico anulũ
              <lb/>
            latum circularem
              <lb/>
            deſcriptum per, A
              <lb/>
            R, reuolutum cir-
              <lb/>
            ca, MN, in tali ſi-
              <lb/>
            tu, cylindro, E, ę-
              <lb/>
            qualem eſſe. </s>
            <s xml:id="echoid-s12195" xml:space="preserve">Nam
              <lb/>
            ſtrictus anulus de-
              <lb/>
            ſeriptus à, CD, ad
              <lb/>
            cylindrum, E, eſt
              <lb/>
            vt, DC, ad, FH, & </s>
            <s xml:id="echoid-s12196" xml:space="preserve">
              <lb/>
            quia, GI, eſt æqualis ipſi, AD, &</s>
            <s xml:id="echoid-s12197" xml:space="preserve">, CD, ipſi, HI, erit, GH, æqualis
              <lb/>
            ipſi, AC, ergo vt, DC, ad, FH, ita eſt eadem, DC, ad, IGH, vel ad,
              <lb/>
            DAC, ſiue, AR, ad, ADR, (nam compoſita ex, AD, DR, eſt æ-
              <lb/>
              <note position="left" xlink:label="note-0496-01" xlink:href="note-0496-01a" xml:space="preserve">Elicitur ex
                <lb/>
              dictis in
                <lb/>
              Corol. 29.
                <lb/>
              34. lib. 3.
                <lb/>
              Sect. 2. fi
                <lb/>
              ea circulis
                <lb/>
              applicẽtur.</note>
            qualis compoſitæ ex, DA, AC,) eſt autem vt, AR, ad compoſitã
              <lb/>
            ex, AD, DR, ita anulus ſtrictus genitus ex circulo, CD, ad anu lũ
              <lb/>
            latum genitum ex circulo, AR, ergo anulus ſtrictus genitus ex cir-
              <lb/>
            culo, CD, ad anulum latum genitum ex circulo, AR, erit, vt idem
              <lb/>
            anulus ſtrictus ad cylindrum, E, ergo anulus latus genitus ex circu-
              <lb/>
            lo dato, AR, ſiue, CD, in tali ſitu, æqualis erit cylindro, E. </s>
            <s xml:id="echoid-s12198" xml:space="preserve">In-
              <lb/>
            uentum ergo eſt, quod opus erat.</s>
            <s xml:id="echoid-s12199" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1120" type="section" level="1" n="670">
          <head xml:id="echoid-head700" xml:space="preserve">COROLL ARIVM I.</head>
          <p style="it">
            <s xml:id="echoid-s12200" xml:space="preserve">_I_Vxta Coroll. </s>
            <s xml:id="echoid-s12201" xml:space="preserve">autem Prop. </s>
            <s xml:id="echoid-s12202" xml:space="preserve">26. </s>
            <s xml:id="echoid-s12203" xml:space="preserve">huius, manifeſtum eſt nos etiam di-
              <lb/>
            ctos anulos in dataratione ad datum cylindrum inuenire poſſe, & </s>
            <s xml:id="echoid-s12204" xml:space="preserve">
              <lb/>
            ſubinde etiam in data ratione ad quodcunq; </s>
            <s xml:id="echoid-s12205" xml:space="preserve">ex ſolidis in Sect. </s>
            <s xml:id="echoid-s12206" xml:space="preserve">3. </s>
            <s xml:id="echoid-s12207" xml:space="preserve">Cor. </s>
            <s xml:id="echoid-s12208" xml:space="preserve">2.
              <lb/>
            </s>
            <s xml:id="echoid-s12209" xml:space="preserve">Prop. </s>
            <s xml:id="echoid-s12210" xml:space="preserve">25. </s>
            <s xml:id="echoid-s12211" xml:space="preserve">huius enumeratis.</s>
            <s xml:id="echoid-s12212" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1121" type="section" level="1" n="671">
          <head xml:id="echoid-head701" xml:space="preserve">COROLL ARIVM II.</head>
          <p style="it">
            <s xml:id="echoid-s12213" xml:space="preserve">_H_Abetur injuper ſi in recta, DA, indefinitè producta, continuen-
              <lb/>
            tur à puncto, D, æquales circulorum diametri; </s>
            <s xml:id="echoid-s12214" xml:space="preserve">ab eiſdem cir-
              <lb/>
            @ulis per reuolutionem circa, MN, deinceps genitos anulos ſeſe ha-
              <lb/>
            bere, vt numeros impares ab vnitate continuò progredientes. </s>
            <s xml:id="echoid-s12215" xml:space="preserve">Quod
              <lb/>
            ſi in eadem recta linea perpendiculari ipſi, MN, Vt in eadem, DA, </s>
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