Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

377. COROLLARIVM XIII.

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
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.

377.1.

0289-01

378. COROLLARIVM XIV.

IN Propof. 16. patet, quam rationem habet ſolidum ſimilare ge-
nitum ex, HO, dempto ſolido ſimilari genito ex, NO, ad ſoli-
dum ſibi ſimilare genitum ex figura, MBEOC, dempto ſolido ſi-
milari genito ex figura, MGEOC, . i. effe eandem ei, quam habet,

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