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

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          <pb o="54" file="0074" n="74" rhead="GEOMETRIÆ"/>
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        <div xml:id="echoid-div155" type="section" level="1" n="105">
          <head xml:id="echoid-head116" xml:space="preserve">LEMMA I.</head>
          <p>
            <s xml:id="echoid-s1396" xml:space="preserve">SI ſint duæ ſimiles ſolidæ figuræ iuxta definit.</s>
            <s xml:id="echoid-s1397" xml:space="preserve">9. </s>
            <s xml:id="echoid-s1398" xml:space="preserve">Vndec. </s>
            <s xml:id="echoid-s1399" xml:space="preserve">Elem. </s>
            <s xml:id="echoid-s1400" xml:space="preserve">& </s>
            <s xml:id="echoid-s1401" xml:space="preserve">
              <lb/>
            in earum altera duæ aſſumantur in ambitu quæcumque figuræ
              <lb/>
            coincidentes, illæ erunt ad inuicem æquè ad eandem partem incli-
              <lb/>
            natæ, ac aliæ duæ, quæ in reliqua ſolida figura eiſdem ſimiles eſſe
              <lb/>
            ſupponuntur.</s>
            <s xml:id="echoid-s1402" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1403" xml:space="preserve">Sint ſim les ſolidæ figuræ, AN, KR, in earum autem altera, A
              <lb/>
            N, ſumantur duæ quæcumq; </s>
            <s xml:id="echoid-s1404" xml:space="preserve">figuræ inuicem coincidentes, AV, V
              <lb/>
              <figure xlink:label="fig-0074-01" xlink:href="fig-0074-01a" number="37">
                <image file="0074-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0074-01"/>
              </figure>
            H, quibus in
              <lb/>
            reliqua ſimiles
              <lb/>
            ſint, Κ Λ, qui-
              <lb/>
            dem, AV, &</s>
            <s xml:id="echoid-s1405" xml:space="preserve">,
              <lb/>
            Λ &</s>
            <s xml:id="echoid-s1406" xml:space="preserve">, ipſi, HV:
              <lb/>
            </s>
            <s xml:id="echoid-s1407" xml:space="preserve">Dico vtraſque,
              <lb/>
            AV, VH, ęquè
              <lb/>
            ad inuicem, & </s>
            <s xml:id="echoid-s1408" xml:space="preserve">
              <lb/>
            ad eandempar-
              <lb/>
            tem eſſe incli-
              <lb/>
            natas, ac ſunt
              <lb/>
            ipſę, Κ Λ, Λ &</s>
            <s xml:id="echoid-s1409" xml:space="preserve">.
              <lb/>
            Velergo, AG,
              <lb/>
              <note position="left" xlink:label="note-0074-01" xlink:href="note-0074-01a" xml:space="preserve">18. Vnde-
                <lb/>
              cimi El.</note>
            KY, ſunt ſubie-
              <lb/>
            ctis planis per-
              <lb/>
            pẽdiculares, & </s>
            <s xml:id="echoid-s1410" xml:space="preserve">
              <lb/>
            tunc, AV, Κ Λ,
              <lb/>
            erunt ipſis, H
              <lb/>
            V, & </s>
            <s xml:id="echoid-s1411" xml:space="preserve">Λ, erecta,
              <lb/>
            vel nõ, & </s>
            <s xml:id="echoid-s1412" xml:space="preserve">tunc
              <lb/>
            demittantur à
              <lb/>
            punctis, A, K,
              <lb/>
            ſubiectis planis
              <lb/>
            perpẽdiculares,
              <lb/>
            AE, KT, & </s>
            <s xml:id="echoid-s1413" xml:space="preserve">ſu-
              <lb/>
            per ipſas, HG,
              <lb/>
            VG, productas
              <lb/>
            (ſi opus ſit, & </s>
            <s xml:id="echoid-s1414" xml:space="preserve">
              <lb/>
            niſi, AG, KY,
              <lb/>
            ſint vel ipſis, H
              <lb/>
            G, & </s>
            <s xml:id="echoid-s1415" xml:space="preserve">Y, vel ip-
              <lb/>
            ſis, GV, Υ Λ, perpendiculares) ſimiliter ad angulos rectos </s>
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