438418GEOMETRIÆ
prædicta omnia quadrata, vel rectangula, vt ſupra ad inuicem
comparata.
comparata.
COROLLARIVM XIII.
IN Prop.
13.
habetur ſimiles conoides hyperbolicas eſſe in tri-
11Eliciture 1
Coro. 50.
l. 1. pla ratione axium, vel diametrorum earundem, quippe quæ
ex ſimilibus hyperbolis naſcuntur: lgitur in anteced. Corollarij
figura, ſi ſupponantur ſimiles hyperbolæ, BAD, HMQ, vt fiant
ex illis ſimiles conoides hyperbolicæ, FEG, HTS, iſtæ erunt inter
ſe in tripla ratione axium, AC, MP, & ſic erit quodlibet ſolidum
22Coro. 50.
l. 1. ſimilare genitum ex hyperbola, FEG, ad ſibi ſimilare genitum ex
hyperbola, HTS, iuxta regulas, FG, HS.
11Eliciture 1
Coro. 50.
l. 1. pla ratione axium, vel diametrorum earundem, quippe quæ
ex ſimilibus hyperbolis naſcuntur: lgitur in anteced. Corollarij
figura, ſi ſupponantur ſimiles hyperbolæ, BAD, HMQ, vt fiant
ex illis ſimiles conoides hyperbolicæ, FEG, HTS, iſtæ erunt inter
ſe in tripla ratione axium, AC, MP, & ſic erit quodlibet ſolidum
22Coro. 50.
l. 1. ſimilare genitum ex hyperbola, FEG, ad ſibi ſimilare genitum ex
hyperbola, HTS, iuxta regulas, FG, HS.
COROLLARIV M XIV.
IN Prop.
14.
expoſita eius figura, vt fiat exem plum, reuolua-
299[Figure 299]
tur circa axim, DG, vt ex, EG, fiat
cylindrus, EF, & ex trilineo, DGB, ſo-
lidum, DBGF, quod vocetur: Apex
hyperbolicus; patet ergo cylindrum, E
F, ad apicem, BDF, eſſe vt, BD, ad ſui
reliquum, dempta ab eodem ſemihy-
perbola, BED, vna cum exceſſu, quo
ipſa ſuperat {1/3}. parall: logrammi, BD, &
{1/6}. BM; & ſic eſſe patet, quodlibet ſoli-
dum ſimilate genitum ex, BD, ad ſibi
ſimilare genitum ex ſemihyperbola, BE
D, iuxta communem regulam, ED.
cylindrus, EF, & ex trilineo, DGB, ſo-
lidum, DBGF, quod vocetur: Apex
hyperbolicus; patet ergo cylindrum, E
F, ad apicem, BDF, eſſe vt, BD, ad ſui
reliquum, dempta ab eodem ſemihy-
perbola, BED, vna cum exceſſu, quo
ipſa ſuperat {1/3}. parall: logrammi, BD, &
{1/6}. BM; & ſic eſſe patet, quodlibet ſoli-
dum ſimilate genitum ex, BD, ad ſibi
ſimilare genitum ex ſemihyperbola, BE
D, iuxta communem regulam, ED.
COROLLARIVM XV.
IN Propoſ.
15.
expoſita
300[Figure 300]
eius figura, vt fiat exẽ-
p@u@n, eadem voluatur cir-
ca axim, GD, vt ex, FD,
fiat cylindrus, FH, & ex
hyperbola, CBD, ſolidum,
CBDNH, quod voeetur:
Sem anulus ſtr@ctus hyper-
bolicus: @ntelligantur autẽ
ſe@nper hæc ſolida ſecari
per axem, vt ijs producan-
tur figuræ, quæ in
p@u@n, eadem voluatur cir-
ca axim, GD, vt ex, FD,
fiat cylindrus, FH, & ex
hyperbola, CBD, ſolidum,
CBDNH, quod voeetur:
Sem anulus ſtr@ctus hyper-
bolicus: @ntelligantur autẽ
ſe@nper hæc ſolida ſecari
per axem, vt ijs producan-
tur figuræ, quæ in
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