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

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            <s xml:id="echoid-s12441" xml:space="preserve">
              <pb o="486" file="0506" n="506" rhead="GEOMETRIÆ"/>
              <figure xlink:label="fig-0506-01" xlink:href="fig-0506-01a" number="339">
                <image file="0506-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0506-01"/>
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            ſit in parallelis, E6, Y4, etiam reſidua figura, vel reſiduarum ag-
              <lb/>
            gregatum, ipſius, CβΛ, (quod ſit ipſi fruſta, ΙΓΛ, 785,) erit in eiſdẽ
              <lb/>
            parallelis; </s>
            <s xml:id="echoid-s12442" xml:space="preserve">E6, Y4, ſi enim non pertingeret hinc inde ad parallelas,
              <lb/>
            E6, Y4, vt ex. </s>
            <s xml:id="echoid-s12443" xml:space="preserve">g. </s>
            <s xml:id="echoid-s12444" xml:space="preserve">ſi pertingeret quidem vſq; </s>
            <s xml:id="echoid-s12445" xml:space="preserve">ad, E6, non tamen vſq;
              <lb/>
            </s>
            <s xml:id="echoid-s12446" xml:space="preserve">ad, Y4, ſed tantum vſque ad, LΣ, conceptis rectis lineis in fruſto,
              <lb/>
            Q℟β59R, ipſi, AD, parallelis non reſponderent in reſiduo figuræ,
              <lb/>
            CβΛ, ſeu ex reſiduis aggregato, aliæ rectæ lineæ, vt ſuperius neceſ-
              <lb/>
            ſe eſſe probatum eſt, ſunt ergo hæc reſidua, vel reſiduorum aggre-
              <lb/>
            gata in eiſdem parallelis, & </s>
            <s xml:id="echoid-s12447" xml:space="preserve">in illis conceptæ parallelarum ipſis, A
              <lb/>
            D, Y4, portiones inter ſe ſunt æquales, vt ſupra oſtendimus, ergo
              <lb/>
            reſidua, ſeu reſiduorum aggregata, ſunt eius conditionis, cuius ip-
              <lb/>
            ſas, BZ&</s>
            <s xml:id="echoid-s12448" xml:space="preserve">, CβΛ, figuras iam eſſe ſuppoſitum fuit, ideſt æqualiter
              <lb/>
            analoga. </s>
            <s xml:id="echoid-s12449" xml:space="preserve">Fiat ergo denuo reſiduorum ſuperpoſitio, ita tamen vt
              <lb/>
            parallelæ, GH, & </s>
            <s xml:id="echoid-s12450" xml:space="preserve">β, ſuper parallelas, HK, β4, ſint conſtitutæ, & </s>
            <s xml:id="echoid-s12451" xml:space="preserve">
              <lb/>
            congruat pars, VΔΛ, fruſti, H℟597, parti, VΔΛ, fruſti, ΙΓΛ, oſten-
              <lb/>
            demus ergo vt ſupra, dum vnius habetur reſiduum haberi etiam al-
              <lb/>
            terius, & </s>
            <s xml:id="echoid-s12452" xml:space="preserve">hæc reſidua, ſiue reſiduorum aggregata, eſſe in eiſdem
              <lb/>
            parallelis, ſit autem ad figuram, BZ&</s>
            <s xml:id="echoid-s12453" xml:space="preserve">, ſpectans reſiduum, ΚVΛ3
              <lb/>
            ΠΧ, ad figuram autem, CβΛ, ſint pertinentia reſidua, ΙΓΔV, 785,
              <lb/>
            quorum aggregatum eſt in eiſdem parallelis cum reſiduo, ΚVΛ3
              <lb/>
            ΠΧ, nem pè in parallelis, E6, Y4, ſi ergo horum reſiduorum fiat
              <lb/>
            denuò ſuperpoſitio, ita tamen vt parallelæ, in quibus exiſtunt, ſint
              <lb/>
            ſemper ad inuicem ſuperpoſitę, & </s>
            <s xml:id="echoid-s12454" xml:space="preserve">hoc ſemper fieri intelligatur, do-
              <lb/>
            nec tota figura, BZ&</s>
            <s xml:id="echoid-s12455" xml:space="preserve">, fuerit ſuperpoſita, dico totam debere ipſi,
              <lb/>
            CβΛ, congruere, alioquin ſi eſſet aliquod reſiduum vt figurę, CβΛ,
              <lb/>
            cui nihil eſſet ſuperpoſitum, eſſet etiam aliquod reſiduum </s>
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