Cavalieri, Buonaventura
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Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER III.
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">OMnia quadrata parallelogrammi circulo, vel ellipſi
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circumſcripti (regula baſi) ad omnia quadrata figuræ
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compoſitæ ex circulo, vel ellipſi, & </
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iacentibus lateri, quod non eſt regula, nec ipſi parallelum,
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veluti dicitur in Th. </
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<
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<
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">erunt, vt idem parallelogrammum
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ad circulum, vel ellipſim, cui circumſcribitur, vna cum eo
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ſpatio, quod relinquitur, dempto à quarta parte dicti paral-
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lelogrammi circuli, vel ellipſis quadrante, ſimul cum exceſ-
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ſu, quo idem quadrans ſuperat duas tertias dicti parallelo-
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grammi ideſt erit, proximè, vt 21. </
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<
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<
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lelogrammi, HF, ad omnia quadrata figuræ compoſitæ ex circulo,
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vel ellipſi, MBEG, & </
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<
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">trilineis, MGN, EGF, eſſe vt, HF, ad
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circulum, vel ellipſim, MBEG, vna cum reſiduo, dempto à paral-
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lelogrammo, MG, circuli, vel ellipſis, quadrante, MGA, ſimul
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cum eo exceſſu, quo idem quadrans ſuperat duas tertias parallelo-
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grammi, MG. </
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<
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nia quadrata circuli, vel ellipſis, MBEG, vna cum rectangulis bis
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ſub eodem, & </
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lum, vel ellipſim, MBEG, quod lerua.</
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<
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ſunt vt quadratum, BG, ad quadratum, GA, .</
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mum, HF, ad parallelogrammum, MG; </
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<
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MG, ad omnia quadrata trilinei, MGN, ſunt vt, MG, ad reſi-
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0247-01
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duum dempto quadrante, MAG, ſimul
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cum eo ſpatio, quo idem ſuperat duas
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tertias rectanguli, MG, ab eodem re-
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ctangulo, MG, ergo ex æquali omnia
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quadrata, HG, ad omnia quadrata tri-
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linei, MGN, erunt vt, HF, ad reſi-
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duum, dempto quadrante, MAG, ſimul
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cum eo ſpatio, quo idem ſuperat, {2/3}, re-
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ctanguli, MG, ab eodem rectangulo, M
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G, &</
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omnia quadrata, HF, ad omnia quadra-
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ta trilineorum, MNG, GFE, erunt vt duplum, HF, ad </
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