Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER IV.
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quadrata ſemiparabolæ, BDC, ad omnia quadrata figuræ, CBD
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F, demptis omnibus quadratis trilinei, BCF, erunt vt dimidium
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quadrati, DE, .</
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gulum ſub {2/3}. </
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<
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F, ad {1/2} {6/4}. </
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figuræ, HBDM, demptis omnibus quadratis figuræ, B
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HMF, ad omnia quadrata figuræ, CBDF, demptis omni-
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bus quadratis trilinei, BCF, eſſe vt, D/M, MF, ad, FD.</
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tis, CM, ſunt ad omnia quadrata figuræ, HBDM, demptis om-
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nibus quadratis figu-
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ræ, BHMF, vt, AF,
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ad parabolam, DBF,
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.</
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A F, ad omnia quadra.
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<
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demptis omnibus qua
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dratis trilinei, BCF,
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ergo, permutando,
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omnia quadrata, A
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M, demptis omnibus
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quadratis, CM, ad omnia quadrata, AF, erunt vt omnia quadra-
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ta figuræ, HBDM, demptis omnibus quadratis figuræ, HBFM,
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ad omnia quadrata figuræ, CBDF, dem ptis omnibus quadratis
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trilinei, BCF, ſunt autem omnia quadrata, AM, demptis omnibus
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quadratis, CM, ad omnia quadrata, AF, vt rectangulum bis ſub,
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MF, FD, cum quadrato, FD, .</
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DM, MF, & </
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DM, MF, ad, FD, ergo omnia quadrata figuræ, DM, HB, dem-
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ptis omnibus quadratis figuræ CBDF, demptis omnibus quadra. </
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tis trilinei, BCF, erunt vt, DM, MF, ad, FD, quod oſtendere
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opus erat.</
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