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

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            <s xml:id="echoid-s2523" xml:space="preserve">
              <pb o="105" file="0125" n="125" rhead="LIBER II."/>
            per illi æquidiſtans, igitur huius plani moti, ſiue fluèntis conceptæ
              <lb/>
            in ſolido, ABC, figuræ, quæ in toto motu fieri intelliguntur, voco:
              <lb/>
            </s>
            <s xml:id="echoid-s2524" xml:space="preserve">Omnia plana ſolidi, ABC, ſumpta regula corum vno, quarum ali-
              <lb/>
              <note position="right" xlink:label="note-0125-01" xlink:href="note-0125-01a" xml:space="preserve">_Defin.2._
                <lb/>
              _huius._</note>
            qua repræſentare poſſunt plana, LH, PF, BC.</s>
            <s xml:id="echoid-s2525" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2526" xml:space="preserve">Vlterius duæ rectæ lineæ, ON, EM, occurrant planis per, EO,
              <lb/>
            BC, tranſeuntibus iam dictis in punctis, O, N; </s>
            <s xml:id="echoid-s2527" xml:space="preserve">EM, quarum, O
              <lb/>
            N, perpendiculariter, EM, verò obliquè illis incidat, puncta igi-
              <lb/>
            tur, quæ ſunt communes ſectiones omnium planorum ſ lidi, ABC,
              <lb/>
            productorum, ſiopus ſit, & </s>
            <s xml:id="echoid-s2528" xml:space="preserve">rectæ, ON, vocantur ipſius omnia pun-
              <lb/>
            cta recti tranſirus, quarum aliqua ſunt puncta, H, I, N, quæ in-
              <lb/>
            teripſa, & </s>
            <s xml:id="echoid-s2529" xml:space="preserve">extremum punctum, O, continentur, vt ipſæ, OH, OI,
              <lb/>
              <note position="right" xlink:label="note-0125-02" xlink:href="note-0125-02a" xml:space="preserve">_Defin. 3._
                <lb/>
              _huius._</note>
            ON, dicuntur abſciſſæ, quæ inter eadem puncta, & </s>
            <s xml:id="echoid-s2530" xml:space="preserve">aliud extre-
              <lb/>
              <note position="right" xlink:label="note-0125-03" xlink:href="note-0125-03a" xml:space="preserve">_Def. 4._
                <lb/>
              _huius._</note>
            mum, quod eſt, N, continentur, vt ipſæ, NI, NH, NO, reſiduæ
              <lb/>
            omnium abſciſſarum; </s>
            <s xml:id="echoid-s2531" xml:space="preserve">tot æquales ipſi, ON, quot ſunt omnes ab-
              <lb/>
              <note position="right" xlink:label="note-0125-04" xlink:href="note-0125-04a" xml:space="preserve">_Def. 5._
                <lb/>
              _huius._</note>
            ſciſſæ, ſiue reſiduæ omnium abſciſſarum, ON, dicuntur maximæ
              <lb/>
            abſciſſarum, ſiue omnium abſciſſarum, ON, quibus ſi adiung atur
              <lb/>
              <note position="right" xlink:label="note-0125-05" xlink:href="note-0125-05a" xml:space="preserve">_Defin. 6._
                <lb/>
              _huius._</note>
            aliqua recta linea, dicuntur abſciſſæ, reſiduæ, ſiue maximæ adiun-
              <lb/>
            cta tali linea, omnes quidem recti tranſitus in recta, ON, in, EM,
              <lb/>
              <note position="right" xlink:label="note-0125-06" xlink:href="note-0125-06a" xml:space="preserve">_Defin. 7._
                <lb/>
              _huius._</note>
            verò dicuntur eiuſdem obliqui tranſitus, eius nempè, qui in tali in-
              <lb/>
            clinatione fit.</s>
            <s xml:id="echoid-s2532" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2533" xml:space="preserve">Dicitur autem in Coroll. </s>
            <s xml:id="echoid-s2534" xml:space="preserve">Defin. </s>
            <s xml:id="echoid-s2535" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2536" xml:space="preserve">eadem puncta recti tranſitus,
              <lb/>
            ſiue obliqui, fieri tum ab omnibus planis propoſiti ſolidi, vt, ABC,
              <lb/>
              <figure xlink:label="fig-0125-01" xlink:href="fig-0125-01a" number="67">
                <image file="0125-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0125-01"/>
              </figure>
            tum ab omnibus lineis
              <lb/>
            planiper eaſdem inciden-
              <lb/>
            tes extenſi, vt ex. </s>
            <s xml:id="echoid-s2537" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s2538" xml:space="preserve">pla-
              <lb/>
            ni, quod tranſit per, EO,
              <lb/>
            BC, quod quidem ctiam
              <lb/>
            tranſeat per ipſas, ON,
              <lb/>
            EM, idem enim planum,
              <lb/>
            quod in ſolidum, ABC,
              <lb/>
            producit figuram, LH, in
              <lb/>
            figura plana, ABC, producit rectam, LH, & </s>
            <s xml:id="echoid-s2539" xml:space="preserve">in recta, ON, pun-
              <lb/>
            ctum, H, in, EM, verò punctum, γ, quod tranſit, HL, produ-
              <lb/>
            cta, & </s>
            <s xml:id="echoid-s2540" xml:space="preserve">ideò dico puncta, H, γ, poſſe dici etiam effecta àresta, γ,
              <lb/>
            H, & </s>
            <s xml:id="echoid-s2541" xml:space="preserve">ſic omnia puncta recti tranſitus quę nempè ſunt in, ON, ne-
              <lb/>
            dum fieri à dictis planis parallelis ſed etiam à lineis parallelis </s>
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