Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER III.
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M,B, E, G. </
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ſimul cum rectangulis bis ſub, HF, & </
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<
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">parallelogrammo, FC, ad
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omnia quadrata circuli, vel ellipſis, MBEG, ſimul cum rectangu-
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lis bis ſub eodem circulo, vel ellipſi, MBEG, & </
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<
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GEOC, eſſe vt parallelogrammum, HF, ad circulum, vel ellipſim,
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MBEG : </
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<
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">quadrata parallelogrammi, HO, ad omnia
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quadrata parallelogrammi, MO, ſunt vt quadratum, DO, ad qua-
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dratum, OE, omnia item quadrata parallelogrammi, MO, ad re-
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26.lib.2.</
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ctangula ſub parallelogrammo, MO, & </
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">portione, MGE, ſunt vt,
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MO, ad portionem, MGE, fiat vt, MF, ad portionem, MGE,
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ita, FE, ad, EI, erit ergo vt, MO, ad portionem, MGE, ita, O
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E, ad, EI, ergo omnia quadrata, MO, ad rectangula ſub, MO, & </
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portione, MGE, erunt vt, OE, ad, EI, .</
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<
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ad rectangulum ſub, OE, EI, erant autem omnia quadrata, HO,
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ad omnia quadrata, OM, vt quadratum, DO, ad quadratum, O
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E, ergo ex æquali omnia quadrata, HO, ad rectangula ſub, MO,
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& </
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">ſub portione, MGE, erunt vt quadratum, DO, ad rectangu-
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lum ſub, OE, EI, ad eadem verò quater ſumpta, vt quadratum, D
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O, ad rectangulum ſub, OE, & </
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ſub, MO, & </
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lib.2.</
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tione, MGE, æ-
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quantur rectangulis
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ſub quadrilineo, M
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GEOC, & </
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tione, MGE, vna
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cum omnibus qua
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dratis portionis, M
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GE, ilia ig tur qua-
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ter ſumpta reddunt
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quater rectangula ſub portione, MGE, & </
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<
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C, vna cum omnibus quadratis portionis, MGE, quater ſumptis,
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quia verò omnia quadrata circuli, vel ellipſis, MBEG, æquantur
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lib,2.</
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omnibus quadratis portionis, MBE, & </
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rectangulis bis ſub vtriſq; </
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portionis, MGE, bis ſumptis, & </
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æquantur omnibus quadratis portionis, MGE, ideò omnia quadra-
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ta portionis, MGE, quater ſumpta æquantur omnib. </
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culi, vel ellipſis, MBEG, item rectangula ſub portione, MGE, & </
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quadrilineo, MGEOC, quater æquantur rectangulis ſub toto circu-
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lo, vel ellipſi, MBEG, & </
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hucuſq; </
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logrammo, MO, quater ſumpta æquari omnibus quadratis </
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