Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER IV.
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<
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<
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">habetur cylindrum, BY, ad reſiduum, dempto ſe-
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mitympano parabolico, BFKR, ab eodem, eſse vt quadra-
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tum, EM, ad rectangulum ſub, MF, & </
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<
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{5/6}. </
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reſiduum, dempto ad eodem ſolido ſimilari genito ex figura, BH
<
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MF, iuxta communem regulam, DM.</
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<
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">vila adhuc eadem figura, patet portionum ſemia-
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nul@ lati parabolici ex, DBF, parabola in reuolutione geni-
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ti, quæ ſepatantur a ſuperſicie deicripta ab axi, BE, exteriorem
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ad interiorem .</
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quæ gignitura ſemiparabola, BFE, eſse vt, EM, cum {1/3}. </
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{1/2}. </
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genitum ex figura, DBHM, dempto ſolido ſimilari genito ex, B
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M, ad ſolidum ſimilare genitum ex, BM, dempto ſolido ſimilari
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genito ex figura, BFMH, iuxta communem regulam, DM.</
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rabol. </
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nitam in re-
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uolutione ex
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ſemiparabo-
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la, BDE, ad
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ſemianulum,
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ſtrictum para
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bolicum ge-
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nitum ex pa-
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rabola, DBF,
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eſse vt {1/8}. </
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ad {2/3}. </
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vt 3. </
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">ſic eſſe ſolidum ſimilare genitum ex, DBE, ſemipa-
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rabola, ad ſibi ſimilare genitum ex figura, CBDF, dempto ſolido
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ſimilari genito ex trilineo, BCF, iuxta communem regulam, DF.</
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