Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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          <head xml:id="echoid-head163" xml:space="preserve">CAVALER II</head>
          <head xml:id="echoid-head164" xml:space="preserve">LIBER SECVNDVS.</head>
          <p style="it">
            <s xml:id="echoid-s2421" xml:space="preserve">In quo de Triangulo præcipuè, & </s>
            <s xml:id="echoid-s2422" xml:space="preserve">Parallelogram-
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            mo, ac Solidis ab eiſdem genitis plura de-
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            monſtrantur, necnon aliæ quædam
              <lb/>
            Propoſitiones lemmaticæ pro ſe-
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            quentibus Libris oſten-
              <lb/>
            duntur.</s>
            <s xml:id="echoid-s2423" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div235" type="section" level="1" n="153">
          <head xml:id="echoid-head165" xml:space="preserve">DIFINITIONES.</head>
          <head xml:id="echoid-head166" xml:space="preserve">I.</head>
          <p>
            <s xml:id="echoid-s2424" xml:space="preserve">SI per oppoſitas tangentes cuiuſcunq; </s>
            <s xml:id="echoid-s2425" xml:space="preserve">da-
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            tæ planæ figuræ ducantur duo plana in-
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            uicem parallela, recta, ſiue inclinata ad
              <lb/>
            planum datæ figuræ, hinc inde indefini-
              <lb/>
            tè producta; </s>
            <s xml:id="echoid-s2426" xml:space="preserve">quorum alterum moueatur
              <lb/>
            verſus reliquum eidem ſemper æquidi-
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              <note position="right" xlink:label="note-0119-01" xlink:href="note-0119-01a" xml:space="preserve">Poſt Se-
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              cund. lib.
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              1.</note>
            ſtans donec illi congruerit: </s>
            <s xml:id="echoid-s2427" xml:space="preserve">ſingulæ re-
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            ctæ lineæ, quæ in toto motu fiunt com-
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            munes ſectiones plani moti, & </s>
            <s xml:id="echoid-s2428" xml:space="preserve">datæ figuræ, ſimul collectæ
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              <note position="right" xlink:label="note-0119-02" xlink:href="note-0119-02a" xml:space="preserve">E. Defin.
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              Sec. lib. 1.</note>
            vocentur: </s>
            <s xml:id="echoid-s2429" xml:space="preserve">Omnes lineæ talis figuræ, ſumptæ regula vna ea-
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            rundem; </s>
            <s xml:id="echoid-s2430" xml:space="preserve">& </s>
            <s xml:id="echoid-s2431" xml:space="preserve">hoc cum plana ſunt recta ad datam figuram: </s>
            <s xml:id="echoid-s2432" xml:space="preserve">Cum
              <lb/>
            verò ad illam ſunt inclinata vocentur. </s>
            <s xml:id="echoid-s2433" xml:space="preserve">Omnes lineę eiuſdem
              <lb/>
            obliqui tranſitus datæ figuræ, regula pariter earundem vna;
              <lb/>
            </s>
            <s xml:id="echoid-s2434" xml:space="preserve">libeat tamen, cum expediet, etiam prædictas vocare, recti
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            tranſitus, ſicuti has, obliqui tanſitus, eius nempè, qui fit in
              <lb/>
            tali ęquidiſtãtium planorum ad datam figuram inclinatione.</s>
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