Angeli, Stefano degli - Miscellaneum hyperbolicum et parabolicum : in quo praecipue agitur de centris grauitatis hyperbolae, partium eiusdem, atque nonnullorum solidorum, de quibus nunquam geometria locuta est, parabola nouiter quadratur dupliciter, ducuntur infinitarum parabolarum tangentes, assignantur maxima inscriptibilia, minimaque circumscriptibilia infinitis parabolis, conoidibus ac semifusis parabolicis aliaque geometrica noua exponuntur scitu digna

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148136

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.

SCHOLIVM.

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

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