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

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.

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.

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.

COROLLARIVM XVII.

IN Prop. 17. ſi, ducta parallela axi, vel diametro hyperbolæ, B
E, ſit, GD, patet in ſigura Corollarij 15. quam ra@onem

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