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

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            <s xml:id="echoid-s1669" xml:space="preserve">
              <pb o="64" file="0084" n="84" rhead="GEOMETRIÆ"/>
            plana figurarum, oOS, spf, in rectis, BC, QR, quibus occur-
              <lb/>
            rant, Oo, fs, productæ vt in punctis, B, Q, & </s>
            <s xml:id="echoid-s1670" xml:space="preserve">iungantur, SB, p
              <lb/>
            Q, eſto autem, quod plana figurarum, LHMP, YVZd, diuiſe-
              <lb/>
            rint plana figurarum, oOS, sfp, producta in rectis, KN, ug, quę
              <lb/>
            ab ipſis, BS, Qp, BO, Qf, ſecentur in, I, X, Ku, & </s>
            <s xml:id="echoid-s1671" xml:space="preserve">iungantur,
              <lb/>
            LK, PI, Yu, dX. </s>
            <s xml:id="echoid-s1672" xml:space="preserve">Quoniam ergo plana figurarum, HMPL, V
              <lb/>
              <figure xlink:label="fig-0084-01" xlink:href="fig-0084-01a" number="44">
                <image file="0084-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0084-01"/>
              </figure>
            ZdY, prędictas altitudines ſi-
              <lb/>
            militer ad eandem partem di-
              <lb/>
            uidentia, ſecant latera homo-
              <lb/>
            loga, ao, Ts, ſimiliter ad
              <lb/>
            eandem partem in punctis, L,
              <lb/>
              <note position="left" xlink:label="note-0084-01" xlink:href="note-0084-01a" xml:space="preserve">Ex Lem.
                <lb/>
              ant.</note>
            Y, vt etiam, AG, T8, in, H
              <lb/>
            V, erunt figurę, ALH, TY
              <lb/>
            V, ad eandem partem ſecan-
              <lb/>
              <note position="left" xlink:label="note-0084-02" xlink:href="note-0084-02a" xml:space="preserve">Ex Lem,
                <lb/>
              3.</note>
            tium, HL, VY, conſtitutæ
              <lb/>
            inter ſe ſimiles, & </s>
            <s xml:id="echoid-s1673" xml:space="preserve">earum late-
              <lb/>
            ra homologa ipſę, HL, VY;
              <lb/>
            </s>
            <s xml:id="echoid-s1674" xml:space="preserve">eodem modo oſtendemus ſi-
              <lb/>
            miles eſſe ipſas, EALP, lT
              <lb/>
            Yd, & </s>
            <s xml:id="echoid-s1675" xml:space="preserve">earum latera homolo-
              <lb/>
            ga ipſas, LP, Yd, ſunt autem
              <lb/>
            figuræ, AEPL, ALH, in-
              <lb/>
            uicem ad eandem partem æ. </s>
            <s xml:id="echoid-s1676" xml:space="preserve">
              <lb/>
            què inclinatæ, acipſæ, Tld
              <lb/>
            Y, TYV, cum ſint in planis
              <lb/>
              <note position="left" xlink:label="note-0084-03" xlink:href="note-0084-03a" xml:space="preserve">Ex Lem.
                <lb/>
              1.</note>
            ſimilium figurarum, AESo,
              <lb/>
            Tlps, AGOo, T8fs, quę
              <lb/>
              <note position="left" xlink:label="note-0084-04" xlink:href="note-0084-04a" xml:space="preserve">Ex Lem.
                <lb/>
              2.</note>
            ſunt inuicem ad eandem par-
              <lb/>
            tem æquè inclinatę, ergo an-
              <lb/>
            guli, HLP, VYd, homolo-
              <lb/>
            gis lateribus contenti eruntę-
              <lb/>
            quales, & </s>
            <s xml:id="echoid-s1677" xml:space="preserve">circa eoſdem latera
              <lb/>
            erunt proportionalia. </s>
            <s xml:id="echoid-s1678" xml:space="preserve">Eodem
              <lb/>
            modo oſtedemus cæteros an-
              <lb/>
            gulos, LPM, YdZ, interſe,
              <lb/>
            necnon, PMH, dZV, ac,
              <lb/>
            MHL, ZVY, æquales eſ-
              <lb/>
            ſe, & </s>
            <s xml:id="echoid-s1679" xml:space="preserve">circa æquales angulos
              <lb/>
            latera exiſtere proportionalia,
              <lb/>
            ergo figuræ, LHMP, YVZd, ſimiles erunt iuxta Euclidem, er-
              <lb/>
              <note position="left" xlink:label="note-0084-05" xlink:href="note-0084-05a" xml:space="preserve">Defin. 1.
                <lb/>
              Sex. El.</note>
            go etiam ſimiles erunt iuxta definit. </s>
            <s xml:id="echoid-s1680" xml:space="preserve">10. </s>
            <s xml:id="echoid-s1681" xml:space="preserve">huius.</s>
            <s xml:id="echoid-s1682" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s1683" xml:space="preserve">Reliquum eſt, vt demonſtremus earum homologas duabus </s>
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