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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zium, THRP, in reuolutione genuit fruſtum coni, THRP, & </
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fruſtum hyperbolæ, IYXS, ge-
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nuit fruſtum conoidis, IYXS; </
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<
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xml:space
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tet fruſtum coni, THRP, ad fru-
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ſtum conoidis, IYXS, habere ra-
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tionem compoſitam ex ea, quã
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habet rectangulum ſub, GP, VR,
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cum {1/3}. </
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<
s
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xml:space
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">quadratiearum differen-
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tiæ ad quadratum, VX, & </
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<
s
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xml:space
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">ex ea,
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quam habet rectãgulum, BVO,
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ad rectangulum ſub, BV, OG,
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vna cum rectangulo ſub compo.
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</
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<
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<
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GV; </
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xml:space
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<
s
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xml:space
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">ſic eſſe quodlibet ſolidũ
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ſimilare genitum ex trapezio, T
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HRP, ad ſibi ſimilare genitum ex fruſto hyperbolæ, ISXY, iux-
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ta communem regulam, HR.</
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</
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</
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<
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xml:space
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">COROLLARIVM IX.</
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s
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<
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<
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">manifeſtò colli-
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gitur Conum, HCR, ad conoidem, SOX, eſſe vt cubus, CV,
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ad parallelepipedum ter ſub, CO. </
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<
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xml:space
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<
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xml:space
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">quadrato, OV, cumcubo, O
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V, & </
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<
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">ſic etiam eſſe quæcunq; </
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<
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xml:space
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">ſolida ſimilaria genita ex triangulo,
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HCR, ad ſibi ſimilaria genita ex hyperbola, SOX, iuxta commu-
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nem regulam, HR.</
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</
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<
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xml:space
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">COROLLARIVM X.</
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<
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xml:space
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<
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<
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xml:space
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">colligimus ſolida ſim laria genita ex hyperbolis,
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AOC, OVX, habere inter ſe rationem compoſi@am ex ratio-
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nibus ibi appoſitis, quæ breuitatis gratia inibi recola@tur.</
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<
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xml:space
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">COROLLARIVM XI.</
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<
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<
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<
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bolicas ab eadem conoide diremptas. </
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