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

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        <div xml:id="echoid-div1150" type="section" level="1" n="689">
          <pb o="497" file="0517" n="517" rhead="LIBER VII."/>
        </div>
        <div xml:id="echoid-div1152" type="section" level="1" n="690">
          <head xml:id="echoid-head723" xml:space="preserve">THEOREMA II. PROPOS. II.</head>
          <p>
            <s xml:id="echoid-s12660" xml:space="preserve">FIguræ planæ quæcumq; </s>
            <s xml:id="echoid-s12661" xml:space="preserve">in eiſdem parallelis conſtitu-
              <lb/>
            tæ, in quibus, ductis quibuſcumq; </s>
            <s xml:id="echoid-s12662" xml:space="preserve">eiſdem parallelis
              <lb/>
            æquidiſta t@bus rectis lineis, conceptæ cuiuſcumq; </s>
            <s xml:id="echoid-s12663" xml:space="preserve">rectæ
              <lb/>
            lineæ portiones ſunt inter ſe, vt cuiuſlibet alterius in eiſdẽ
              <lb/>
            figuris conceptæ portiones (homologis tamen in eadem
              <lb/>
            figura ſemper exiſtentibus) eandem inter ſe proportionem
              <lb/>
            habebunt, quam dictæ portiones. </s>
            <s xml:id="echoid-s12664" xml:space="preserve">Dicantur autem pro-
              <lb/>
            portionaliter analogæ, ac etiam, ſi libuerit, iuxta regulas
              <lb/>
            ipſas parallelas, in quibus exiſtunt.</s>
            <s xml:id="echoid-s12665" xml:space="preserve"/>
          </p>
          <figure number="347">
            <image file="0517-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0517-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s12666" xml:space="preserve">Sint duæ quælibet figuræ planæ, Β&</s>
            <s xml:id="echoid-s12667" xml:space="preserve">℟ΚΓΔ, CΦλ, inter paralle-
              <lb/>
            las AD, ΧΩ, conſtitutæ, ducta vero vtcumq; </s>
            <s xml:id="echoid-s12668" xml:space="preserve">EQ, prædictis paral-
              <lb/>
            lela, eiuſdem portiones in figura, Β&</s>
            <s xml:id="echoid-s12669" xml:space="preserve">Δ, conceptæ, quæ ſint, HI, L
              <lb/>
            M, ſimul ſumptæ ſint ad eam, ſeu ad eas, quæ concipiuntur in fi-
              <lb/>
            gura, CΦλ, vt aliæ quælibet ſimiliter ſumptæ, nempè ex. </s>
            <s xml:id="echoid-s12670" xml:space="preserve">g. </s>
            <s xml:id="echoid-s12671" xml:space="preserve">vt, & </s>
            <s xml:id="echoid-s12672" xml:space="preserve">
              <lb/>
            ℟ΓΔ, ad, Φλ. </s>
            <s xml:id="echoid-s12673" xml:space="preserve">Dica figuram, Β&</s>
            <s xml:id="echoid-s12674" xml:space="preserve">℟κΓΔ, ad figuram, CΦλ, eſſe vt,
              <lb/>
            HI, LM, ad, NO, velvt, &</s>
            <s xml:id="echoid-s12675" xml:space="preserve">℟, ΓΔ, ad, Φλ, vel vt quęlibet aliæ ſi-
              <lb/>
            militer ſumptæ. </s>
            <s xml:id="echoid-s12676" xml:space="preserve">Accipiantur in, Φλ, producta verſus, λ, quotcũq;
              <lb/>
            </s>
            <s xml:id="echoid-s12677" xml:space="preserve">eidem, Φλ, æquales, vt; </s>
            <s xml:id="echoid-s12678" xml:space="preserve">λ2, ſimiliter quælibet linearum figuræ, CΦ
              <lb/>
            λ, producatur, & </s>
            <s xml:id="echoid-s12679" xml:space="preserve">in ipſa intelligantur tot aſſumptæ æquales vni-
              <lb/>
            cuiq; </s>
            <s xml:id="echoid-s12680" xml:space="preserve">productarum, quot aſſumptæ ſunt æquales ipſi, Φλ, ex.</s>
            <s xml:id="echoid-s12681" xml:space="preserve">g. </s>
            <s xml:id="echoid-s12682" xml:space="preserve"/>
          </p>
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