Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ.
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parabolam, DBF, (hoc autem vocetur Semianulus latus parabot
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licus) & </
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<
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">ad ſolidum genitum ex figura, HBDM, eſſe vt quadra.
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</
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<
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<
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">quadrati, ED, cum rectangu-
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lo ſub ſexquitertia, DE, & </
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<
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">ſub, EM, quod vocetur Semibaſis co-
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lumnaris parabolica lata; </
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<
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">Et vniuerſaliter ſolidum ſimilare geni-
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0376-01
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tum ex, AM, ad ſibi ſimilare genitum ex figura, HBDM, habe-
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re eandem rationem proximè dictæ ad idem verò dempto ſolido
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ſimilari genito ex quadrilineo, BFMH, eſse vt, AF, ad parabo-
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lam, DBF,.</
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<
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ſter. </
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">concludi poſse cylindrum in reuolutione genitum ex, AF,
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ad ſemibaſim columnarem ſtrictam parabolicam genitam ex figu-
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ra, CBDF, eſse vt quadratum, DF, ad quadratum, FE, {1/2}, qua
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drati, ED, & </
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ſic eſſe ſolida ſimilaria ex eiſdem genita iuxta communem regu-
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lam DF.</
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<
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">iterum aſsumpta antecedentis figura, patet cylin-
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drum genitum in reuolutione ex, BM, .</
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ſolidum genitum ex reuolutione figuræ, BHMF, .</
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BFKR, quod vocetur Semitympanum parabolicum, eſse vt qua-
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dratum, EM, ad quadratum, MF, cum rectangulo ſub {2/3}. </
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FM, vna cum {1/6}. </
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<
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tum ex, BM, ad ſibi ſimilare genitum ex figura, BHMF, iuxta
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communem regulam, DM.</
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