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

Table of figures

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              <pb o="438" file="0458" n="458" rhead="GEOMETRIÆ"/>
              <figure xlink:label="fig-0458-01" xlink:href="fig-0458-01a" number="316">
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            circumferentia, MSE, ad circumferentiam, ITV, eſt vt quadratũ
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            EA, ad quadratum, AV, ideſt vt, RQ, ad, XG, eſt autem, RQ, æ,
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            qualis circumferentiæ, MSE, ergo &</s>
            <s xml:id="echoid-s11349" xml:space="preserve">, GX, circumferentiæ, ITV,
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            æqualis erit, & </s>
            <s xml:id="echoid-s11350" xml:space="preserve">ſic oſtendemus quamlibet circumferentiam ipſi
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            A, concentricam, & </s>
            <s xml:id="echoid-s11351" xml:space="preserve">interceptam inter ſpiralem, AIE, & </s>
            <s xml:id="echoid-s11352" xml:space="preserve">rectam
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            AE, tamen extra ſpatium helicum, AIE, adæquari ductæ in trili-
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            neo, OGRQ, ipſi, RQ, ductæ parallelæ, quæ nempè abſcindunt
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            verſus puncta, O, A, ipſarum, OQ, AE, partes ęquales, & </s>
            <s xml:id="echoid-s11353" xml:space="preserve">quia,
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            OQ, AE, ſupponuntur æquales, ideò omnes lineę trilinei, OGR
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            Q, regula, RQ, omnibus circumferentijs trilinei recta, AE, ſpira-
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            li, AIE, & </s>
            <s xml:id="echoid-s11354" xml:space="preserve">circũferentia, MSE, cõpręhenſi æquales erunt. </s>
            <s xml:id="echoid-s11355" xml:space="preserve">Similiter,
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            quia eſt, RQ, ad, NX, vt, QO, ad, OX, vel, EA, ad, AV, vel circũ-
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            ferentia, MSE, ad, TIV, æquatur autem, RQ, ipſi, MSE, ergo, N
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            X, æquatur circumferentiæ, TIV, & </s>
            <s xml:id="echoid-s11356" xml:space="preserve">ſic oſtendemus omnes lineas
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            trianguli, ORQ, adæquari omnibus circumferentijs circuli, MSE,
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            ergo vt trianguli, ORQ, omnes lineæ ad omnes lineas trilinei, OG
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            RQ, vel vt triangulum, ORQ, ad trilineum, OGRQ, ita omnes
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              <note position="left" xlink:label="note-0458-01" xlink:href="note-0458-01a" xml:space="preserve">3. l. 2.</note>
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