Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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drum, FC, in figura Coroll. </
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<
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<
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AD, EVC, ad tympanum hyperbolicum genitum ex figura, EVC
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DAF, in figura Coroll. </
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<
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<
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EVCDAF, habere rationem compoſitam ex ratione rectanguli,
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AOZ, bis cum {2/3}. </
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<
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tione rectanguli ſub, DC, vel, RZ, & </
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V, cum {1/3}. </
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<
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</
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<
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">ſic eſſe quodlibet ſolidum ſimilare genitum ex, FC,
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de@nptis ſolidis ſimilaribus genitis ex oppoſitis hyperbolis, FAD,
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EVC, iuxta communem regulam, EC, ad ſolidum ſimilare ſibi
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genitum ex figura, EVCDAF, iuxta regulam, CD.</
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<
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<
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ptæ ſectiones, BIG, kMP, quæ dicuntur coniugatæ ſectioni-
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bus, DAF, CVE, ex quibus in reuolutione genitæ fuerint oppoſi-
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tæ conoides, B G, kMP, patet igitur cylindrum, DE, ad tympa-
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num hyperbolicum, DAF, EVC, demptis oppoſitis conoidibus,
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BIG, KMP, eſſe vt parallelepipedum ſub, ZC, & </
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Q (quæ habetur extenſa, ZC, ad aſymptoton producta .</
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cu@occurrat in, Q,) a@ parallele ipedum bis ſub, XM, & </
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to, MO, cum cubo, MO, & </
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quodlibet ſolidum ſimilare genitum ex, FC, ad ſibi ſimlare g@nitũ
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ex figura, DAFEVC, demptis ſolidis ſimilaribus genitis ex oppo-
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ſitis hyperbolis, BIG, KMP, iuxta cõmunẽ regulam, FE, vel, AV.</
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ra, eadem reuoluatur circa axẽ,
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&</
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circa, &</
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nitum ex, TV, nempè, TV, ad reli-
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quum, ab eodem demptis ſolidis ge
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nitis ex quatuor hyperbolis coniu-
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gatis, BFH, PIQ, AEC, MON, eſſe
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vt cubus, ZV, vel, SY, ad parallele-
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pipedum ſub, QV, & </
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cum parallelepipedo ſub, ZQ, & </
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compoſito ex {1/3}. </
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qua@rato, SO, ab his tamen dempto
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parallelepipedo ſub, SO, & </
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to, OY, cum {1/3}. </
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