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

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289269LIBEN III.
IN Propof. 13. colligimus ſolidum ſimilare genitum ex, HF, ad
ſolidum
ſimilare genitum ex figura, NMBEF, demptis ſolidis
ſimilaribus
genitis à trilineis, MNG, GFE, eſſe vt, HF, ad circu-
lum
, velellipſim, MBEG.
Reuoluatur, HF, circa, NF, manen-
tem
, vt ſupra, ex, HF, igitur fiet cylindrus, H , &
ex figura, N
182[Figure 182] MBEF, fiet quædam figu-
ra
, à qua ſi auferantur ſoli-
da
, quæ fiunt à duobus tri-
lineis
, MNG, GFE, re-
manebit
quædam figura ſo-
lida
, quam vocabimus, Anu-
lum
ſtrictum circularem, ſi,
MBEG
, ſit circulus;
Elli-
pticum
verò, ſi ſit ellipſis, &

patebit
, quam rationem ha-
beat
cylindrus, H℟, ad hunc
anulum
ſtrictum, AI, ſicuti vniuerſaliter patet ex ſupradictis, quam
rationem
habeat ſolidum ſimilare genitum ex, HF, ad ſolidum ſibi
ſimilare
genitum ex figura, NMBEF, demptis ſolidis ſimilaribus
genitis
ex trilineis, MNG, GFE.
IN Propof. 16. patet, quam rationem habet ſolidum ſimilare ge-
nitum
ex, HO, dempto ſolido ſimilari genito ex, NO, ad ſoli-
183[Figure 183] dum ſibi ſimilare genitum ex figura, MBEOC, dempto ſolido ſi-
milari
genito ex figura, MGEOC, .
i. effe eandem ei, quam

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