377357LIBER IV.
EX Coroll.
habetur cylindrum, BY, ad reſiduum, dempto ſe-
mitympano parabolico, BFKR, ab eodem, eſse vt quadra-
tum, EM, ad rectangulum ſub, MF, & lub ſexquitertia, FE, cum
{5/6}. quadrati, FE, & ſic eſse ſolidum ſimilare genitum ex, BM, ad
reſiduum, dempto ad eodem ſolido ſimilari genito ex figura, BH
MF, iuxta communem regulam, DM.
mitympano parabolico, BFKR, ab eodem, eſse vt quadra-
tum, EM, ad rectangulum ſub, MF, & lub ſexquitertia, FE, cum
{5/6}. quadrati, FE, & ſic eſse ſolidum ſimilare genitum ex, BM, ad
reſiduum, dempto ad eodem ſolido ſimilari genito ex figura, BH
MF, iuxta communem regulam, DM.
COROLLARIVM XIV.
IN Prop.
36.
vila adhuc eadem figura, patet portionum ſemia-
nul@ lati parabolici ex, DBF, parabola in reuolutione geni-
ti, quæ ſepatantur a ſuperſicie deicripta ab axi, BE, exteriorem
ad interiorem . 1. quæ gignitur a ſemiparabola, BDE, ad eam,
quæ gignitura ſemiparabola, BFE, eſse vt, EM, cum {1/3}. EM, &
{1/2}. ED, ad MF, cum {1/3}. MF, & {5/6}. FE, & ſic eſse ſolidum ſimilare
genitum ex figura, DBHM, dempto ſolido ſimilari genito ex, B
M, ad ſolidum ſimilare genitum ex, BM, dempto ſolido ſimilari
genito ex figura, BFMH, iuxta communem regulam, DM.
nul@ lati parabolici ex, DBF, parabola in reuolutione geni-
ti, quæ ſepatantur a ſuperſicie deicripta ab axi, BE, exteriorem
ad interiorem . 1. quæ gignitur a ſemiparabola, BDE, ad eam,
quæ gignitura ſemiparabola, BFE, eſse vt, EM, cum {1/3}. EM, &
{1/2}. ED, ad MF, cum {1/3}. MF, & {5/6}. FE, & ſic eſse ſolidum ſimilare
genitum ex figura, DBHM, dempto ſolido ſimilari genito ex, B
M, ad ſolidum ſimilare genitum ex, BM, dempto ſolido ſimilari
genito ex figura, BFMH, iuxta communem regulam, DM.
COROLLARIVM XV.
IN Prop.
37.
viſa fig.
Cor.
10.
P.
51.
huius, patet conoidem pa-
258[Figure 258]
rabol.
ge-
nitam in re-
uolutione ex
ſemiparabo-
la, BDE, ad
ſemianulum,
ſtrictum para
bolicum ge-
nitum ex pa-
rabola, DBF,
eſse vt {1/8}. DF,
ad {2/3}. DF,. .
vt 3. ad 16. & ſic eſſe ſolidum ſimilare genitum ex, DBE, ſemipa-
rabola, ad ſibi ſimilare genitum ex figura, CBDF, dempto ſolido
ſimilari genito ex trilineo, BCF, iuxta communem regulam, DF.
nitam in re-
uolutione ex
ſemiparabo-
la, BDE, ad
ſemianulum,
ſtrictum para
bolicum ge-
nitum ex pa-
rabola, DBF,
eſse vt {1/8}. DF,
ad {2/3}. DF,. .
vt 3. ad 16. & ſic eſſe ſolidum ſimilare genitum ex, DBE, ſemipa-
rabola, ad ſibi ſimilare genitum ex figura, CBDF, dempto ſolido
ſimilari genito ex trilineo, BCF, iuxta communem regulam, DF.