Full text: Angeli, Stefano: Miscellaneum Hyperbolicum et Parabolicum

75. PROPOSITIO XXXV.

Annuli stricti orti ex reuolutione ſegmenti ſemiparabolæ
cuiuſcunque, cuius exponens ſit numerus par, reſectæ
linea baſi parallela, circa lineam ductam parallelam dia-
metro per extremitatem baſis poſſumus centrum graui-
tatis aſſignare.

PArabola quæcunque A B C, cuius numerus
par, ſit ſecta L M, A C, parallela, & intelli-
gamus D I M C, rotari circa C F. Dico annuli
orti nos poſſe aſſignare centrum grauitatis. Nam
cum ex propoſit. 10. lib. 3. habeamus centrum gra-
uitatis ſegmenti parabolæ A L M C, habebimus
etiam ex ſupra dictis, centrum grauitatis annuli
A L M C O Q G; & conſequenter quatuor ſolido-
rum diſpoſitorum vt in ſecunda figura. Ex propo-
ſit. 11. eiuſdem libri habemus centrum æquilibtij fi-
guræ D I M C, in baſi D C. Ex ſchol. propoſit. 15. lib. 3. habemus centrum grauitatis ſolidi
A L M C. Ergo quartum non ignorabitur; nempe
centrum grauitatis ſolidi orti ex rotatione D I M C,
circa N C. Quod & c.

76. SCHOLIVM.

Cum autem habeamus centrum grauitatis cylin-
dri IV; & rationem ex ſchol. 2. propoſit. 11. lib.

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