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

Table of figures

< >
< >
page |< < (485) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1136" type="section" level="1" n="681">
          <p>
            <s xml:id="echoid-s12423" xml:space="preserve">
              <pb o="485" file="0505" n="505" rhead="LIBER VII."/>
              <figure xlink:label="fig-0505-01" xlink:href="fig-0505-01a" number="338">
                <image file="0505-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0505-01"/>
              </figure>
            ipſi, SV, quod, & </s>
            <s xml:id="echoid-s12424" xml:space="preserve">de cæteris quibuſcunq; </s>
            <s xml:id="echoid-s12425" xml:space="preserve">ipſi, AD, parallelis in
              <lb/>
            vtraque figura liquidò apparet. </s>
            <s xml:id="echoid-s12426" xml:space="preserve">Quod verò pars vnius figuræ, vt,
              <lb/>
            BZ&</s>
            <s xml:id="echoid-s12427" xml:space="preserve">, congruat neceſſariò parti figuræ, @βΛ, & </s>
            <s xml:id="echoid-s12428" xml:space="preserve">non toti, dum fit
              <lb/>
            ſuperpoſitio tali lege, quali dictum eſt, ſic demonſtrabitur. </s>
            <s xml:id="echoid-s12429" xml:space="preserve">Cum
              <lb/>
            enim ductis quibuſcunq; </s>
            <s xml:id="echoid-s12430" xml:space="preserve">ipſi, AD, parallelis conceptæ in figuris
              <lb/>
            ipſarum portiones, quæ erant ſibi in directum, adhuc poſt ſuper-
              <lb/>
            poſitionem maneant ſibi in directum, illæ vero ante ſuperpoſitio-
              <lb/>
            nem effent ex hypoteſi æquales, ergo poſt ſuperpoſitionem por-
              <lb/>
            tiones parallelarum ipſi, AD, in figuris ſuperpoſitis conceptæ erũt
              <lb/>
            pariter æquales, vt ex.</s>
            <s xml:id="echoid-s12431" xml:space="preserve">g. </s>
            <s xml:id="echoid-s12432" xml:space="preserve">QR, ST, ſimul ſumptæ æquabuntur ipſi,
              <lb/>
            SV, ergo niſi vtræque, QR, ST, congruant toti, SV, congruente
              <lb/>
            parte alicui parti, vt, ST, ipſi, ST, erit, QR, æqualis ipſi, TV, &</s>
            <s xml:id="echoid-s12433" xml:space="preserve">,
              <lb/>
            QR, quidem erit in reſiduo figuræ, BZ&</s>
            <s xml:id="echoid-s12434" xml:space="preserve">, ſuperpoſitæ, TV, verò
              <lb/>
            in reſiduo ſiguræ, @βΛ, cu@ fit ſuperpoſitio. </s>
            <s xml:id="echoid-s12435" xml:space="preserve">Eodem modo oſten-
              <lb/>
            demus cuicunq; </s>
            <s xml:id="echoid-s12436" xml:space="preserve">parallelæ ipſi, AD, conceptæ in reſiduo, figuræ, B
              <lb/>
            Z&</s>
            <s xml:id="echoid-s12437" xml:space="preserve">, ſuperpoſitæ, quod ſit, H℟597, reſpondere in directum ęqua-
              <lb/>
            lem rectam lineam, quę erit in reſiduo figuræ, @βΛ, cui fit ſuper-
              <lb/>
            poſitio, ergo ſuperpoſitione hac lege facta, cum ſupereſt aliquid
              <lb/>
            de figura uperpoſita, quod non cadatſuper figuram, cui fitſu-
              <lb/>
            perpoſitio, neceſſe eſt reliquæ figuræ aliquid etiam ſupereſſe, ſuper
              <lb/>
            quod nihil ſit ſuperpoſitum. </s>
            <s xml:id="echoid-s12438" xml:space="preserve">Cum autem vnicuiq; </s>
            <s xml:id="echoid-s12439" xml:space="preserve">rectæ lineæ
              <lb/>
            parallelę, AD, conceptæ in reſiduo, vel reſiduis (quia poſſunt eſſe
              <lb/>
            plures figuræ reſiduæ) figuræ, BZ&</s>
            <s xml:id="echoid-s12440" xml:space="preserve">, ſiue, C℟γ, ſuperpoſitæ, re-
              <lb/>
            ſpondeat in directum in reſiduo, vel reſiduis ſiguræ; </s>
            <s xml:id="echoid-s12441" xml:space="preserve">CβΛ, alia re-
              <lb/>
            cta linea, manifeſtum eſt has reſiduas figuras, ſiue reſiduarum ag-
              <lb/>
            gregata, eſſe in eiſdem parallelis, cum ergo reſidua figura, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum