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

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375355LIBER IV. cum {1/24}. parallelogrammi, AF, . 1. vt 24. ad 17. & ita eſſe ſolidum
256[Figure 256] ſimilare ge-
nitum
ex, A
F
, ad ſibi ſi-
milare
geni
tum
ex figu-
ra
, CBDF,
genita
in-
quam
iuxta
communem

regulam
, D
F
.
Vocetur
autem
ſolidum, quod in reuolutione generatur ex parabola DB
F
.
Semianulus ſtrictus parabolicus; quod verò gignitur ex, figu-
ra
, CBDF;
Semibaſis columnaris parabolica ſtricta.
IN Corollario colligitur cylindrum, AM, eſſe ſexquialterum
ſemianuli
ſtricti parabolici, DBFXM, vnde colligi poteſt pro-
prietates
, quæ conoidibus, vel apicibus parabolicis in Corollarijs
7
.
& 8. Propoſit. 51. huius in eſſe oſtenſa ſunt, & de ſemianulis ſtri-
ctis
parabolicis pariter concludi.
IN Propoſit. 33. habemus partem interiorem ſemianuli ſtricti
parabolici
, ad exteriorem (quæ partes diſſeparantur per ſuper-
ficiem
in reuolutione deſcriptam in ſuperioris figura per lineam, ſi-
ue
axim, BE,) eſse vt 5.
ad 11. & ſic eſse quodlibet ſolidum ſimila-
re
genitum ex, BF, dempto ſolido ſimilari genito ex trilineo, BC
F
, ad ſibi ſimilare genitum ex figura, CBDF, dempto ſolido ſi-
milari
genito ex, BF, genita, inquam, iuxta communem regu-
lam
, DF.
COROLL. XII. SECTIO PRIOR.
IN Prop. 34. aſſumpta eiuſdem figura, vt fiat exemplum reuo-
luatur
, AM, circa manentem axim, HM, fiat autem ex, AM,
in
reuolutione cylindrus, AL;
patet igitur cylindrum, AL, ad ſo-
lidum
in reuolutione genitum ex parabola, DBF, eſſe vt, AF,

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