439419LIBER V.
tione eadem generant, nempè ex tenſo plano, FD, per axem, G
D, produci figuram, FH, compoſitam ex duobus parallelogram-
mis, FD, DM, & figuram, CBDNH, compoſitam ex duabus hy-
perbolis, CBD, DNH; patet ergo cylindrum, FH, ad ſolidum, C
BDNH, eſſe vt, FD, ad hyperbolam, CBD, & ſic eſſe quodlibet
ſolidum ſimilare genitum ex, FD, ad ſibi ſimilare genitum ex hy-
perbola, CBD, iuxta communem regulam, CD.
D, produci figuram, FH, compoſitam ex duobus parallelogram-
mis, FD, DM, & figuram, CBDNH, compoſitam ex duabus hy-
perbolis, CBD, DNH; patet ergo cylindrum, FH, ad ſolidum, C
BDNH, eſſe vt, FD, ad hyperbolam, CBD, & ſic eſſe quodlibet
ſolidum ſimilare genitum ex, FD, ad ſibi ſimilare genitum ex hy-
perbola, CBD, iuxta communem regulam, CD.
COROLL. XVI. SECTIO PRIOR.
IN Prop.
16.
vt fiat exemplum, reuoluatur eius figura circa
axim, HM, vt ex, FM, fiat cylindrus, FQ, & ex hyperbola, C
301[Figure 301]
BD, ſolidum,
CBD, SOQ,
quod voce-
tur: Semia-
nulus latus
hyperbolicus
patet ergo cy
lindrum, FQ,
ad ſemianulũ
latum hyper-
bolicum, CB
DSOQ, eſſe
vt, FD, ad
hyperbolam, CBD, & ſic eſſe quodlibet ſolidum ſimilare genitum
ex, FD, ad ſibi ſimilare genitu@n ex hyperbola, CBD, iuxta com-
munem regulam, CD.
axim, HM, vt ex, FM, fiat cylindrus, FQ, & ex hyperbola, C
CBD, SOQ,
quod voce-
tur: Semia-
nulus latus
hyperbolicus
patet ergo cy
lindrum, FQ,
ad ſemianulũ
latum hyper-
bolicum, CB
DSOQ, eſſe
vt, FD, ad
hyperbolam, CBD, & ſic eſſe quodlibet ſolidum ſimilare genitum
ex, FD, ad ſibi ſimilare genitu@n ex hyperbola, CBD, iuxta com-
munem regulam, CD.
SECTIO POSTERIOR.
VNde habetur ex Corollario cylindrum, FH, in figura Co-
rollarij antecedentis ad ſemianulum ſtrictum hyperbolicu,
CBDNH, eſſe vt cylindrum, FQ, in ſigura huius Corollar jad
ſemianulum latum hyperbolicum, CBDSOQ, & ſic ſolida ſimi-
laria, & c.
rollarij antecedentis ad ſemianulum ſtrictum hyperbolicu,
CBDNH, eſſe vt cylindrum, FQ, in ſigura huius Corollar jad
ſemianulum latum hyperbolicum, CBDSOQ, & ſic ſolida ſimi-
laria, & c.
COROLLARIVM XVII.
IN Prop.
17.
ſi, ducta parallela axi, vel diametro hyperbolæ, B
E, ſit, GD, patet in ſigura Corollarij 15. quam ra@onem
E, ſit, GD, patet in ſigura Corollarij 15. quam ra@onem
zoom in
zoom out
zoom area
full page
page width
set mark
remove mark
get reference
digilib