Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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293273LIBER III. RF, ad portionem anuliſtricti deſcriptam portionem, SBEGT.
erit vt, RF, adeandem portionem, quod patet etiam dereliquis ec-
rundem ſolidis ſimilaribus.
COROLLARIVM XVIII.
IN Propoſ. 20. expoſita figura, & exemplo conſtructo, oſtendi-
mus pariter ſolidum deſcriptum à portione, SMT, ad ſolidum
deſcriptum à portione, SBEGT, dum, HO, reuoluitur circa ma-
nentem axim, CO, eſſe vt portio, SMT, ad portionem, SBGET.
quod etiam de reliquis ſolidis ſimilaribus ab eiſdem portionibus ge-
nitis patet.
In huius autem Corollario colligitur ſolida ſimilaria genita ex pa-
rallelogrammis, cum portionibus in eadem altitudine exiſtentibus,
&
ad rectas, HD, CO, terminantibus, demptis ſolidis ſimilaribus
genitis ex parallelogrammis in eadem altitudine cum dictis portioni-
bus exiſtentibus, ſed ad rectas, NF, CO, terminantibus, adſolida
186[Figure 186] ſibi ſimilaria genita ex figuris compoſitis ex dictis portionibus, &
re-
liquo ſpatio, viq;
ad, CO, dempto ſolido ſimilari genito ex hocre-
liquo ſpatio, eſſe vt dictorum parallelogrammorum reſiduum paral-
lelogrammum ad dictam portionem.
Vtin exemplo cylindrum, H
Y, dempto cylindro, NQ, ad portionem anulilati reſectam per ſu-
perficiem deſcriptam in reuolutione a linea, ST, eſſe vt, HV, ad
portionem, SMT.

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