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

List of thumbnails

< >
501
501 (481) 		502
502 (482)
503
503 (483) 		504
504 (484)
505
505 (485) 		506
506 (486)
507
507 (487) 		508
508 (488)
509
509 (489) 		510
510 (490)
< >
page |< < (490) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1141" type="section" level="1" n="684">
          <pb o="490" file="0510" n="510" rhead="GEOMETRIÆ"/>
          <figure number="341">
            <image file="0510-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0510-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s12536" xml:space="preserve">+</s>
          </p>
          <p>
            <s xml:id="echoid-s12537" xml:space="preserve">Sint in æqualibus rectis lineis, QP, TY, tamquam in baſibus,
              <lb/>
            & </s>
            <s xml:id="echoid-s12538" xml:space="preserve">in eiſdem parallelis, AL, QY, quæcunq; </s>
            <s xml:id="echoid-s12539" xml:space="preserve">planæ figuræ CQPD,
              <lb/>
            HTYL, æqualiter analogæ iuxta dictas baſes, QP, ΓΥ, ductis au-
              <lb/>
            tem quotcunq; </s>
            <s xml:id="echoid-s12540" xml:space="preserve">baſibus parallelis, vt, ΛΧ, ΓV, βΚ, earum in figu-
              <lb/>
            ris conceptæ portiones integræ ſint, ac in altera figurarum pro-
              <lb/>
            pinquior baſi maior remotiori, vt ſi conceptæ in, CQPD, ſint, N
              <lb/>
            ℟, I&</s>
            <s xml:id="echoid-s12541" xml:space="preserve">, EZ, & </s>
            <s xml:id="echoid-s12542" xml:space="preserve">in, HTYL, ipſæ, SX, RV, OK, iſtæ quidem integræ
              <lb/>
            ſint necnon ex. </s>
            <s xml:id="echoid-s12543" xml:space="preserve">g. </s>
            <s xml:id="echoid-s12544" xml:space="preserve">in figura, CQPD, N℟, maior, I&</s>
            <s xml:id="echoid-s12545" xml:space="preserve">; I&</s>
            <s xml:id="echoid-s12546" xml:space="preserve">, maior,
              <lb/>
            EZ, & </s>
            <s xml:id="echoid-s12547" xml:space="preserve">ſic in cæteris (erit enim etiam, SX, maior, RV, &</s>
            <s xml:id="echoid-s12548" xml:space="preserve">, RV, ma-
              <lb/>
            ior, OK, & </s>
            <s xml:id="echoid-s12549" xml:space="preserve">ſic in cæteris, cum ſint æqualiter analogæ iuxta ba-
              <lb/>
            ſes, QP, TY.) </s>
            <s xml:id="echoid-s12550" xml:space="preserve">Dico figuras, CQPD, HTYL, inter ſe æquales eſ-
              <lb/>
            ſe. </s>
            <s xml:id="echoid-s12551" xml:space="preserve">Si enim non ſint æquales, altera earum maior erit, ſit maior,
              <lb/>
            HTYL, ipſa, CQPD, ſpatio, +, tunc minoris figuræ baſis, QP,
              <lb/>
              <note position="left" xlink:label="note-0510-01" xlink:href="note-0510-01a" xml:space="preserve">Poſt. 1.
                <lb/>
              l. 2.</note>
            moueatur verſus, AD, ſemper ipſi, AD, æquidiſtanter, ac manẽ-
              <lb/>
            te iugiter puncto, P, in linea, PD, donec congruat ipſi, AD, igitur
              <lb/>
            punctum, Q, deſcribet lineam, QΓΑ, &</s>
            <s xml:id="echoid-s12552" xml:space="preserve">, QP, deſcribet parallelo-
              <lb/>
            grammum, AP, rectilineum, ſeu curuilineum, prout, AQ, DP,
              <lb/>
            fuerint rectæ, vel curuæ, erit autem, CΓΑ, tota extra figuram, CQ
              <lb/>
            PD, cum parallelæ, QP, in figura, CQPD, ipſi, QP, propinquio-
              <lb/>
            res remotioribus ſint ſemper maiores (quo pacto data baſi, & </s>
            <s xml:id="echoid-s12553" xml:space="preserve">cur-
              <lb/>
            ua linea, tota in eodem plano cum ipſa baſi, ac vni extremorum
              <lb/>
            eiuſdem conterminante, parallelogrammum curuilineum, ab ij@dẽ
              <lb/>
            apprehenium, deſcribere docemur) ſimiliter compleatur paralle-
              <lb/>
            logrammum, FY, ducaturquæ, ΓV, parallela, QY, b fariam diui-
              <lb/>
            dens altitud nem figurari m, CQPD, HTYL, reſpectu, QY, aſſum-
              <lb/>
            ptam, ſecanſque, AQ, in, Γ, CQ, in, I, DP, in, &</s>
            <s xml:id="echoid-s12554" xml:space="preserve">, FT, in, Π, HT,
              <lb/>
            in, R, &</s>
            <s xml:id="echoid-s12555" xml:space="preserve">, LY, in, V, per, ΓV, igitur diuidetur </s>
          </p>
        </div>
      </text>
    </echo>
Impressum