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

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              <pb o="107" file="0127" n="127" rhead="LIBER II."/>
            dem plano, & </s>
            <s xml:id="echoid-s2564" xml:space="preserve">in eadem altitudine, quæ ſint, BCDA, ADE, ſit
              <lb/>
            autem altitudo figuræ, ABCD, ſumpta reſpectu ipſius rectæ, CD,
              <lb/>
            & </s>
            <s xml:id="echoid-s2565" xml:space="preserve">altitudo figuræ, ADE, reſpectu ipſius, DE, quæ intelligantur
              <lb/>
            abſcindere ex eadem parte à communi altitudine partes æquales,
              <lb/>
            quæ ſibi in directum erunt, ſint verò ambæ communis regula om-
              <lb/>
            nium linearum dictarum figurarum, & </s>
            <s xml:id="echoid-s2566" xml:space="preserve">ſit ducta alia vtcumq; </s>
            <s xml:id="echoid-s2567" xml:space="preserve">ei-
              <lb/>
              <figure xlink:label="fig-0127-01" xlink:href="fig-0127-01a" number="69">
                <image file="0127-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0127-01"/>
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            dem, CE, parallela, MN,
              <lb/>
            cuius portio manens in figu-
              <lb/>
            ra, BD, ſit, MO, & </s>
            <s xml:id="echoid-s2568" xml:space="preserve">ma-
              <lb/>
            nens in figura, ADC, ſit,
              <lb/>
            ON; </s>
            <s xml:id="echoid-s2569" xml:space="preserve">rectangula igitur, C
              <lb/>
            DE, MON, & </s>
            <s xml:id="echoid-s2570" xml:space="preserve">reliqua re-
              <lb/>
              <note position="right" xlink:label="note-0127-01" xlink:href="note-0127-01a" xml:space="preserve">_Definit. i._
                <lb/>
              _huius._</note>
            ctangula, quæ ſub qualibet
              <lb/>
            earum, quæ dicuntur omnes lineæ figuræ, BD, (regula, CE, vel,
              <lb/>
            CD,) & </s>
            <s xml:id="echoid-s2571" xml:space="preserve">illi in directum poſita in figura, ADE, continentur (erit
              <lb/>
            autem ſemper aliqua eidem in directum, præterquam fortè illi, qua
              <lb/>
            tangit figuram, vt, BA, potest .</s>
            <s xml:id="echoid-s2572" xml:space="preserve">n. </s>
            <s xml:id="echoid-s2573" xml:space="preserve">in figura, ADE, illi vice lineæ
              <lb/>
            vnum punctum tantum reſpondere, vt, A, hoc tamen rect augulum
              <lb/>
            non computatur, quia nihil illis adiungit, erit inquam bæc linea-
              <lb/>
            rum reſpondentia in figura, ADE, eis, quæ ſumuntur in, BD, nam
              <lb/>
            ſunt in eadem altitudine ſumpta aſpectu earundem linearum, ſub
              <lb/>
            quibus rectangula continentur) ſimul ſumpta vocamus: </s>
            <s xml:id="echoid-s2574" xml:space="preserve">Rectangu-
              <lb/>
              <note position="right" xlink:label="note-0127-02" xlink:href="note-0127-02a" xml:space="preserve">_D. Def. 8._
                <lb/>
              _huius._</note>
            la ſub figuris, BCDA, ADE.</s>
            <s xml:id="echoid-s2575" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s2576" xml:space="preserve">Siverò contingeret alteram earundem ſigurarum eſſe par allelo-
              <lb/>
            grammum, & </s>
            <s xml:id="echoid-s2577" xml:space="preserve">regulam omnium eiuſdem linearum eſſe vnum eiu-
              <lb/>
            ſdem laterum, vt, CD, reſpectu cuius ſumitur altitudo, tune quia
              <lb/>
            illæ, quæ æquidiſtantipſi, CD, in parallelogrammo, BD, ſunt ei-
              <lb/>
            dem, CD, æquales, & </s>
            <s xml:id="echoid-s2578" xml:space="preserve">ſunt latera dictorum rectangulorum, ideò
              <lb/>
            dico, nos ea vocare poſſe nedum rectangula ſub his figuris, ſed etiam
              <lb/>
            ſic appellare, nempè. </s>
            <s xml:id="echoid-s2579" xml:space="preserve">Omnia rectangula figuræ ADE, (quæ non,
              <lb/>
            eſt neceſſariò parallelogrammum) æquè alta, ac vnum eorum .</s>
            <s xml:id="echoid-s2580" xml:space="preserve">i. </s>
            <s xml:id="echoid-s2581" xml:space="preserve">ac
              <lb/>
            rectangulum, CDE, altitudinis ſcilicet æqualis ipſi, CD, prout
              <lb/>
            libuerit autem nominentur.</s>
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