Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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        <div xml:id="echoid-div253" type="section" level="1" n="167">
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            <s xml:id="echoid-s2508" xml:space="preserve">
              <pb o="104" file="0124" n="124" rhead="GEOMETRIÆ"/>
            guris iuxta regulas eas, quę ſunt regulę omnium ſimilium fi-
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            gurarum earundem propoſitarum genitricium figurarum, di-
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            centur ſolida inter ſe, vel ad inuicem ſimilaria, genita ex di-
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            ctis figuris iuxta dictas regulas, vel intelligentur ſemper eſſe
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            inter ſe, ſeu ad inuicem ſimilaria, licet hoc non exprimatur,
              <lb/>
            quotieſcunq; </s>
            <s xml:id="echoid-s2509" xml:space="preserve">contrarium aliquid non adijciatur.</s>
            <s xml:id="echoid-s2510" xml:space="preserve"/>
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        <div xml:id="echoid-div254" type="section" level="1" n="168">
          <head xml:id="echoid-head181" xml:space="preserve">D.</head>
          <note position="left" xml:space="preserve">D.</note>
          <p>
            <s xml:id="echoid-s2511" xml:space="preserve">Cum autem duas figuras in eodem plano habuerimus in
              <lb/>
            eadem altitudine exiſtentes, rectangula ſub ſingulis earum,
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            quæ dicuntur omnes lineæ vnius propoſitarum figurarum, & </s>
            <s xml:id="echoid-s2512" xml:space="preserve">
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            illis in directum reſpondentibus in alia figura ſimul ſumpta
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            ſic vocabimus, nempè Rectangula ſub eiſdem figuris, regu-
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            la eadem, quæ eſt omnium ſumptarum linearum regula.</s>
            <s xml:id="echoid-s2513" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div255" type="section" level="1" n="169">
          <head xml:id="echoid-head182" xml:space="preserve">E.</head>
          <note position="left" xml:space="preserve">E.</note>
          <p>
            <s xml:id="echoid-s2514" xml:space="preserve">Cum verò propoſitarum figurarum altera fuerit parallelo-
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            grammum, cuius baſis, iuxta quam altitudo ſumitur, ſit ſum-
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            pta pro regula, dicta rectangula vocabuntur etiam: </s>
            <s xml:id="echoid-s2515" xml:space="preserve">Omnia
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            rectangula reliquæ figuræ æquè alta ac eorum vnum.</s>
            <s xml:id="echoid-s2516" xml:space="preserve"/>
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        <div xml:id="echoid-div256" type="section" level="1" n="170">
          <head xml:id="echoid-head183" xml:space="preserve">APPENDIX.</head>
          <head xml:id="echoid-head184" xml:space="preserve">Pro antecedentium Definitionum explicatione.</head>
          <p style="it">
            <s xml:id="echoid-s2517" xml:space="preserve">_S_It ſigura plana quæcunque, ABC, duæ eiuſdem oppoſitæ tan-
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            gentes vtcunque ductæ, EO, BC, intelligantur autem per, E
              <lb/>
              <note position="left" xlink:label="note-0124-03" xlink:href="note-0124-03a" xml:space="preserve">_Coroll.i._
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              _lib.I._</note>
            O, BC, indefinitè extenſa duæ plana inuicem parallela, quorum
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            quod tranſit per, EO, ex. </s>
            <s xml:id="echoid-s2518" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s2519" xml:space="preserve">moueatur verſus planum per, BC,
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            ſemper illi æquidiſtans, donec illi congruat, igitur communes ſe-
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            ctiones talis moti, ſiue fluentis plani, & </s>
            <s xml:id="echoid-s2520" xml:space="preserve">figuræ, ABC, quæ in toto
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            motu ſiunt, ſimul collectæ à me vocantur: </s>
            <s xml:id="echoid-s2521" xml:space="preserve">Omnes lineæ figuræ, AB
              <lb/>
              <note position="left" xlink:label="note-0124-04" xlink:href="note-0124-04a" xml:space="preserve">_Defin.1._
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              _huius._</note>
            C, quarum aliquæ ſint ipſæ, LH, PF, BC, ſumptæ regula earum
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            vna, vt, BC, recti tranſitus, cum plana parallela rectè ſecant fi-
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            guram, ABC, eiuſdem obliqui tranſitus, cum illam obliquè ſecant,
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            eius ſcilicet tranſitus, qui in tali inclinatione ſit.</s>
            <s xml:id="echoid-s2522" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2523" xml:space="preserve">Intelligamus nunc, ABC, eſſe ſolidum, cuius duo oppoſita pla-
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            na tangentia ſint, quæ tranſeunt per, EO, BC, moueatur autem
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            adhuc planum, per, EO, extenſum, verſus planum per, BC, </s>
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