Cavalieri, Buonaventura
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Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER VII.
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percurremus. </
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oſten detur eo modo, quo nos primam demonſtrauimus, Corolla-
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riũ verò deducetur vt ibi, mutatis tamẽ ſepè dictis nominibus &</
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hac autem oſtenſa facilè deducetur prop. </
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vt etiam prop. </
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Prop. </
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16. </
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nimè poſtulant, cum a methodo in diuiſibilium non dependeant.</
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la eadem, VF, retenta, oſtendemus quadratum ſolidũ,
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AF, duplum eſſe quadrati ſolidi parabolæ, VEF, & </
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ſexquialterum quadrati ſolidi trianguli, VEF.</
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quale quadrato, NO, quod & </
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tingere concludemus, ergo rectan-
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gulum ſolidum ſub parallelogram-
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mo, CM, & </
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qualiter analogum quadrato ſolido
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ſemiparabolæ, EMF, quadratum
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ſolidum autem, CM, ad rectangulũ
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ſolidum ſub eodem parallelogram-
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mo, CM, & </
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vt, CM, ad EMF, ideſt duplum, ergo quadratum ſolidum, CM, du-
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huius.</
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plum erit quadrati ſolidi, EMF, & </
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dum, AF, duplum etiam erit quadrati ſolidi parabolæ, VEF, vnde
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& </
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VF, quod &</
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cetur eodem modo mutatis nominibus &</
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cum fruſto, MROH, & </
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