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

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          <pb o="495" file="0515" n="515" rhead="LIBER VII."/>
          <p>
            <s xml:id="echoid-s12625" xml:space="preserve">PRopoſit. </s>
            <s xml:id="echoid-s12626" xml:space="preserve">antacedens, aliter, quoad priorem partem,
              <lb/>
            oſtenſa.</s>
            <s xml:id="echoid-s12627" xml:space="preserve"/>
          </p>
          <figure number="345">
            <image file="0515-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0515-01"/>
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          <p>
            <s xml:id="echoid-s12628" xml:space="preserve">Sint quęcũq; </s>
            <s xml:id="echoid-s12629" xml:space="preserve">figurę planę ęqualiter analogę iuxta regulã, GM,
              <lb/>
            ipſę, BHIC, DQK, quarum oppoſitę tangentes, AF, GM, regula pa-
              <lb/>
            riter, GM, parallelarũ, autẽ ipſi, GM, quotcumque portiones in vna-
              <lb/>
            que dictarum figurarum integrę ſint, ſiue non. </s>
            <s xml:id="echoid-s12630" xml:space="preserve">Dico eaſdem ęqua-
              <lb/>
            les eſſe. </s>
            <s xml:id="echoid-s12631" xml:space="preserve">Incidat ergo parallelis, AF, GM, quomodocumque recta
              <lb/>
            linea, EL, in eiſdem terminata, moueatur autem, GM, verſus, A
              <lb/>
            F, ſemper eidem, AF, ęquidiſtanter donec illi congruerit, interim
              <lb/>
            autem vnum punctum moueatur in eadem, GM, ſic mota, deſcri-
              <lb/>
            bens ambitum, I βΕ, figurę ęqualiter analogę ipſi, DQK, & </s>
            <s xml:id="echoid-s12632" xml:space="preserve">aliud
              <lb/>
            punctum in eadem motum ad aliam partem, EL, deſcribat ambi-
              <lb/>
            turn figurę, EYL, ęqualiter a@ alogę ipſi, BHIC, in quibus quidem
              <lb/>
            ſic deſcriptis figuris conceptę ipſi, GM, parallelarum portiones
              <lb/>
            quęcumque integrę ſint. </s>
            <s xml:id="echoid-s12633" xml:space="preserve">Erit ergo figura, @ βL, ęqualis figurę, E
              <lb/>
            YL, eſto autem quod in figura, DQK, conceptę portiones paral-
              <lb/>
            lelarum ipſi, GM, non omnes ſint integrę, ſed aliquę fractę per in-
              <lb/>
            teriorem ambitum, nempè, quę intercipiuntur parallelis, Q6, ΦΩ,
              <lb/>
              <note position="right" xlink:label="note-0515-01" xlink:href="note-0515-01a" xml:space="preserve">Ex antec.
                <lb/>
              Lem.</note>
            in quibus habeantur duo figurę fruſta, 67RΩ, CΦR, in quorum
              <lb/>
            tamen vnoquoque dictę parallelarum port ones integrę habean-
              <lb/>
            tur, ſit autem in motu, GM, a quodam runcto deſcripta linea,
              <lb/>
            & </s>
            <s xml:id="echoid-s12634" xml:space="preserve">γ5, nempè ambitus figurę, 5 & </s>
            <s xml:id="echoid-s12635" xml:space="preserve">ΣΤ, eodem modo, quo delcripti
              <lb/>
            fuerunt ambitus, @β@, EYL, g@ręinquam, 5&</s>
            <s xml:id="echoid-s12636" xml:space="preserve">Σ @, ęqualiter ana-
              <lb/>
            logę fruſto, 7R Ω@; </s>
            <s xml:id="echoid-s12637" xml:space="preserve">er tergorel@qu@ figura, 5Δ&</s>
            <s xml:id="echoid-s12638" xml:space="preserve">, qualiter analo-
              <lb/>
            ga ſrulto, QΦ@, cumtota, Τ ΔΣ ſit toti compoſito ex fruſti, QΦ
              <lb/>
            R, 7R Ω6, ęqualiter analoga, & </s>
            <s xml:id="echoid-s12639" xml:space="preserve">ſunt portiones ipſi, GM, </s>
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