Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER V.
"/>
ſolidum ſimilare quodcunque genitum ex parallelogrammo, TV,
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ad ſibi ſimilare genitum ex figura, TBFHRVQIPX, demptis ſo-
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lidis ſimilaribus genitis ex oppoſitis hyperbolis, AEC, MON, iux-
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ta communem regulam, RV; </
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<
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xml:space
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">eadem verò eſſe oſtendemus ſum-
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pta pro regula ipſa, VX, & </
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<
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<
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<
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">colligitur cylindrum, TV, ad cylindrum, TP, &</
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<
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">, HV,
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cum tympano, BFHQIP, eſſe vt cubus, YS, ad parallelepipedũ
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ſub, KY, & </
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<
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">quadrato, YS, vna cum parallelepido ſub, KS, & </
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<
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poſito ex quadrato, SO, & </
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">& </
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elſdem figuris genita iuxta ibi aſſumptam regulam, RV.</
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vt in anteced. </
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">conſpicitur, patet ſolidum in reuolutione de-
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ſcriptum a figura reſidua, demptis à parallelogrammo, T V, qua-
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tuor hyperbolis, BFH, PIQ, AEC, MON, ad ſolidum deſ@riptum
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in reuolutione ex figura reſidua, demptis à parallelogrammo, βΩ,
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quatuor hyperbolis, 9F7, ΦΙΛ, L E ſ, ΣΟ3, eſſe vt parallelepipe-
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dum ſub QV, & </
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& </
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<
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parallelepipedo ſub, SO, & </
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<
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lelepipedum ſub, ΛΩ, & </
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ſub, Λ4, & </
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parallelepido ſub, SO, & </
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patet eſſe quodlibet ſolidum ſimilare genitum ex figura, TBFHR
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VQIPX, demptis ſolidis ſimilaribus genitis ex opoſitis hyperbolis,
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AEC, MON, ad ſibi ſimilare genitũ ex figura, B9F72ΩΛΙΦΛ, dem-
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ptis ſolidis ſimilaribus genitis ex oppoſitis hyperbolis, LEF, ΣΟ3,
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iuxta communem regulam, RV.</
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">colligitur eadem ſolida, genita nempè ex figuris,
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TBFHRVQIPX β9F72ΩΛ ΙΦΔ, iuxta communem regulam,
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RV, nihil ab eis dempto, eſſe vt dicta parallelepipeda, nihil pari-
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@er ab eiſdem dempto.</
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