Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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<
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xml:space
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quadrata figuræ, HBDM, demptis omnibus quadratis
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figuræ, BHMF, eſſe ad omnia quadrata ſemiparabolæ, B
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DE, vt, DM, MF, ad @ {3/6}. </
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<
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">Nam omnia quadrata figuræ, HBDM, demptis omnibus qua-
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dratis figuræ, BHMF, ad omnia quadrata figuræ, CBDF, dem-
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ptis omnibus quadratis trilinei, BCF, oſtenſa ſunt eſſe, vt, DM, M
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F, ad, FD, hæc autem ad omnia quadrata ſemiparabolæ, BDE,
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ſunt vt {2/3}. </
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<
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<
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<
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<
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">FD, ergo, ex æ-
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quali, omnia quadrata figuræ, HBDM, demptis omnibus qua-
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dratis figuræ, BHMF, ad omnia quadrata ſemiparabolæ, BDE.
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</
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<
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<
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<
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xml:space
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">ducantur, GP, GV, regu-
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lis, DF, DM, parallelæ, oſtendemus (ſi ipſę ſecauerint
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parabolam, DBF,) omnia quadrata figuræ, CBDF, dem
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ptis omnibus quadratis trilinei, BCF, ad omnia quadrata
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figuræ, CBNP, demptis omnibus quadratis quadrilinei,
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BCPO. </
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<
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omnibus quadratis figuræ, BHMF, ad omnia quadrata fi-
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guræ, HBNV, demptis omnibus quadratis figuræ, HVO
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B, eſſe vt parabolam, DBF, ad parabolam, NBO.</
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<
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bus quadratis figuræ, BHMF, ad omnia quadrata figuræ, HBN
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V, demptis omnibus quadratis figuræ, BHVO, eſſe vt omnia quadra-
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ta figuræ, CBDF, demptis omnibus quadratis trilinei, BCF, ad </
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