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

Table of Notes

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          <p>
            <s xml:id="echoid-s12494" xml:space="preserve">
              <pb o="488" file="0508" n="508" rhead="GEOMETRIÆ"/>
            autem figuræ, vt ſupra innuimus, dicatur æqualiter analogæ, & </s>
            <s xml:id="echoid-s12495" xml:space="preserve">ſi
              <lb/>
            opus erit, iuxta regulas lineas parallelas, ſeu plana parallela, AD,
              <lb/>
            Y4.</s>
            <s xml:id="echoid-s12496" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1138" type="section" level="1" n="682">
          <head xml:id="echoid-head715" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s12497" xml:space="preserve">_C_Vm antecedens Prop. </s>
            <s xml:id="echoid-s12498" xml:space="preserve">maximi ſit momenti, vt in ſequentibus
              <lb/>
            apparebit, aliuſq; </s>
            <s xml:id="echoid-s12499" xml:space="preserve">modus priorem partem demonſtrandi, ſtylo
              <lb/>
            Archimedeo haud abſimilis, menti ſuccurrerit, idipſum ne pereatin
              <lb/>
            Lemmata diſtributum hic ſubiungere placuit.</s>
            <s xml:id="echoid-s12500" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1139" type="section" level="1" n="683">
          <head xml:id="echoid-head716" xml:space="preserve">LEMMA PRIMVM.</head>
          <p>
            <s xml:id="echoid-s12501" xml:space="preserve">SI in eadem, vel æqualibus baſibus, & </s>
            <s xml:id="echoid-s12502" xml:space="preserve">in eiſdem paral-
              <lb/>
            lelis figuræ planę æqualiter analogę iuxta eaſdem ba-
              <lb/>
            ſes fuerint conſtitutæ, itatamen, vt quæcunq; </s>
            <s xml:id="echoid-s12503" xml:space="preserve">æquidiſtã-
              <lb/>
            tium baſibus linearum portiones in eiſdem conceptæ figu-
              <lb/>
            ris integræ ſint, ac eidem baſi, vel baſibus æquales, ipſæ
              <lb/>
            pariter figuræ inter ſe æquales erunt.</s>
            <s xml:id="echoid-s12504" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12505" xml:space="preserve">Sint in eadem baſi, GH, ſeu in æqualibus baſibus, & </s>
            <s xml:id="echoid-s12506" xml:space="preserve">in eiſdem
              <lb/>
            parallelis, AF, PQ, figuræ planæ, AGHB, EGHF, æqualiter ana-
              <lb/>
              <figure xlink:label="fig-0508-01" xlink:href="fig-0508-01a" number="340">
                <image file="0508-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0508-01"/>
              </figure>
            logę iux-
              <lb/>
            ta eandẽ
              <lb/>
            baſem, G
              <lb/>
            H, ſeu ba
              <lb/>
            ſes ęqua-
              <lb/>
            les iã di-
              <lb/>
            ctas, ex-
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            tenſa ve-
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            ro qua-
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            cunq; </s>
            <s xml:id="echoid-s12507" xml:space="preserve">ip-
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            ſis, PQ, A
              <lb/>
            F, parallela, SR, eiuſdem portiones captæ in præfatis figuris, vt,
              <lb/>
            ST, NO, integræ ſint, ac æquales baſi, GH, ſeu dictis æqualibus
              <lb/>
            baſibus. </s>
            <s xml:id="echoid-s12508" xml:space="preserve">Dico etiam præfatas figuras inter ſe æquales eſſe. </s>
            <s xml:id="echoid-s12509" xml:space="preserve">In ea-
              <lb/>
            dem enim baſi, GH, ſeu in altera dictarum æqualium baſium ſit
              <lb/>
            conſtitutum, & </s>
            <s xml:id="echoid-s12510" xml:space="preserve">in eiſdem parallelis, AF, PQ, quodcunq; </s>
            <s xml:id="echoid-s12511" xml:space="preserve">paralle-
              <lb/>
            logrammum, CH, in quo portio concepta ipſius, SR, ſit, LM, quę
              <lb/>
            erit æqualis ipſi, GH, & </s>
            <s xml:id="echoid-s12512" xml:space="preserve">conſequenter ipſi, NO, vnde addita cõ-
              <lb/>
            muni, MN, fiet, LN, æqualis, MO. </s>
            <s xml:id="echoid-s12513" xml:space="preserve">Eodem modo autem oſten-
              <lb/>
            demus, CE, eſſe æqualem, DE, & </s>
            <s xml:id="echoid-s12514" xml:space="preserve">reliquas huiu ſmodi </s>
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