378358GEOMETRIÆ
COROLLARIVM XVI.
IN Propoſ.
38.
conſpecta adhuc eadem ſuperiori figura, habe-
tur ſemianulum latum parabolicum genitum in reuolutione
ex parabola, DBF, ad ſemianu um ſtrictum pararabolicum geni-
tum ex eadem, eſse vt, DM, MF, ad FD, & ſic eſse ſolidum ſimi-
lare quodcunq; genitum ex figura, HBDM, dempto ſolido ſimi-
lari genito ex figura, BHMF, ad ſolidum ſibi ſimilari genitum ex
figura, CBDF, dempto ſolido ſimilari genito ex trilineo, BCF,
iuxta communem regulam, DM.
tur ſemianulum latum parabolicum genitum in reuolutione
ex parabola, DBF, ad ſemianu um ſtrictum pararabolicum geni-
tum ex eadem, eſse vt, DM, MF, ad FD, & ſic eſse ſolidum ſimi-
lare quodcunq; genitum ex figura, HBDM, dempto ſolido ſimi-
lari genito ex figura, BHMF, ad ſolidum ſibi ſimilari genitum ex
figura, CBDF, dempto ſolido ſimilari genito ex trilineo, BCF,
iuxta communem regulam, DM.
COROLLARIVM XVII.
IN Prop.
39.
viſa eadem ſuperioris figura, habemus ſemianu-
lum latum parabolicum genitum ex parabola, DBF, ad co-
noidem parabolicam genitam ex eadem per reuolutionem, eſse vt,
DM, MF, ad {3/16}. ipſius, FD, & ſic eſse quodlibet ſolidum ſimila-
re genitum ex, HBDM, dempto ſolido ſimilari genito ex figura,
BHMF, ad ſolidum ſibi ſimilare genitum ex ſemiparabola, BDE,
iuxta communem regulam, DM.
lum latum parabolicum genitum ex parabola, DBF, ad co-
noidem parabolicam genitam ex eadem per reuolutionem, eſse vt,
DM, MF, ad {3/16}. ipſius, FD, & ſic eſse quodlibet ſolidum ſimila-
re genitum ex, HBDM, dempto ſolido ſimilari genito ex figura,
BHMF, ad ſolidum ſibi ſimilare genitum ex ſemiparabola, BDE,
iuxta communem regulam, DM.
COROLL XVIII. SECTIO PRIOR.
IN Prop.
40.
viſis fig.
Cor.
10, &
12.
ſuperiorum, &
ductis vt-
cumque baſi parabolæ, DBF, æquidiſtantibus intra ipſam, quę
ſint, GP, GPV, patet ſemianulos parabolicos ex parabolis, DBF,
NBO, in vtraq; figura per reuolutionem genitos, eſse inter ſe, vt
ipſas parabolas, DBF, NBO, & ſic eſse quodlibet ſolidum ſimi-
lare genitum ex figura, HBDM, dempto ſolido ſimilari genito
ex figura, BFMH, ad ſibi ſimilare genitum ex figura, HBNV,
dempto ſolido ſimilari genito ex figura, HBOV. Et ſic etiam
ſolidum ſimilare genitum ex figura, CBDF, dempto ſolido ſimi-
lari genito ex trilineo, CBF, ad ſolidum ſibi ſimilare genitum ex
figura, CBNP, dempto ſolido ſimilari genito ex figura, BCPO,
genita inquam iuxta communes regulas, DF.
cumque baſi parabolæ, DBF, æquidiſtantibus intra ipſam, quę
ſint, GP, GPV, patet ſemianulos parabolicos ex parabolis, DBF,
NBO, in vtraq; figura per reuolutionem genitos, eſse inter ſe, vt
ipſas parabolas, DBF, NBO, & ſic eſse quodlibet ſolidum ſimi-
lare genitum ex figura, HBDM, dempto ſolido ſimilari genito
ex figura, BFMH, ad ſibi ſimilare genitum ex figura, HBNV,
dempto ſolido ſimilari genito ex figura, HBOV. Et ſic etiam
ſolidum ſimilare genitum ex figura, CBDF, dempto ſolido ſimi-
lari genito ex trilineo, CBF, ad ſolidum ſibi ſimilare genitum ex
figura, CBNP, dempto ſolido ſimilari genito ex figura, BCPO,
genita inquam iuxta communes regulas, DF.
SECTIO POSTERIOR.
EX Coroll.
habetur ſemianulos latos parabolicos ex parabolis,
DBF, NBO, in reuolutione circa, HM, genitos eſse ad
DBF, NBO, in reuolutione circa, HM, genitos eſse ad
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