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

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              <pb o="456" file="0476" n="476" rhead="GEOMETRIÆ"/>
              <figure xlink:label="fig-0476-01" xlink:href="fig-0476-01a" number="325">
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            habet rationem compoſitam ex ratione trianguli, LQΣ, ad trian-
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            gulum, L&</s>
            <s xml:id="echoid-s11685" xml:space="preserve">Σ, ideſt ex ratione, QΣ, ad, Σ&</s>
            <s xml:id="echoid-s11686" xml:space="preserve">, vel ex ratione circum-
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              <note position="left" xlink:label="note-0476-01" xlink:href="note-0476-01a" xml:space="preserve">Coroll. 1.
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              19. l. 2.
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              33. Sexti
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              Elem.</note>
            ferentiæ, CDFBC, ad circumferentiam, CDFB, quia prædictis æ-
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            quatur ideſt ex ratione circuli, CDFB, ad ſectorem, vel eius reſi-
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            duum, ACDFBA, & </s>
            <s xml:id="echoid-s11687" xml:space="preserve">ex ratione trianguli, L&</s>
            <s xml:id="echoid-s11688" xml:space="preserve">Σ, ad triangulum,
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            LZ {13/ }, ideſt ex ratione quadrati, PL, ad quadratum, L4, ideſt ex ra-
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              <note position="left" xlink:label="note-0476-02" xlink:href="note-0476-02a" xml:space="preserve">Coroll. 1.
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              19. l. 2.</note>
            tione quadrati, BA, ad quadratum, AK, ideſt ex ratione ſectoris
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            (dicatur ſic breuitatis cauſa, ſiue ſit ſector, ſiue eius reſiduum) AC
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            DFB, ad ſectorem, AIR εkA, quæ duæ rationes componunt ratio-
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              <note position="left" xlink:label="note-0476-03" xlink:href="note-0476-03a" xml:space="preserve">Coroll. 2.
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              3. huius.
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              Defin. 12.
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              l. 1.</note>
            nem circuli, CDFB, ad ſectorem, AIR εKA, ergo triangulus, LQ
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            Σ, ad triangulum, LZ {13/ }, erit vt circulus, CDFB, ad ſectorem, AI
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            RεKA, ſed triangulus, LQΣ, eſt æqualis circulo, CDFB, ergo triã-
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            gulus, LZ {13/ }, ſectori, AIR εKA, æqualis erit, & </s>
            <s xml:id="echoid-s11689" xml:space="preserve">eſt trilineus, LΖΩ,
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              <note position="left" xlink:label="note-0476-04" xlink:href="note-0476-04a" xml:space="preserve">Iuxta 2.
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              huius.</note>
            æqualis ſpatio, AISMGA, ergo ſector, AIR εKA, ad ſpatium, AIS
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            MGA, erit vt triangulus, LZ {13/ }, ad trilineum, LΖΩ, .</s>
            <s xml:id="echoid-s11690" xml:space="preserve">i. </s>
            <s xml:id="echoid-s11691" xml:space="preserve">vt quadra-
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            tum, 4L, ad rectangulum ſub, 4L, Lβ, cum {1/3}. </s>
            <s xml:id="echoid-s11692" xml:space="preserve">quadrati, 4β, .</s>
            <s xml:id="echoid-s11693" xml:space="preserve">i. </s>
            <s xml:id="echoid-s11694" xml:space="preserve">vt qua-
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              <note position="left" xlink:label="note-0476-05" xlink:href="note-0476-05a" xml:space="preserve">14. huius.</note>
            dratum, IA, ad rectangulum, ſub, IA, AG, cum {1/3}. </s>
            <s xml:id="echoid-s11695" xml:space="preserve">quadrati, GK,
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            quod erat oſtendendum.</s>
            <s xml:id="echoid-s11696" xml:space="preserve"/>
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