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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150138 ra) modo in propoſit. anteced. explicato, poſſumus cen-
trum grauitatis aſſignare.

VIce parabolæ propoſit. antèced. ſit hyperbola.
Dico nos poſſe aſſignare centrum grauitatis
annuli ſtricti D I M C O P V. Nam cum ex propo-
ſit. 22, habeamus centrum grauitatis tam hyperbolæ
A B C, quam hyperbolæ L B M, & cum ex ſup-
poſitione quadraturæ facile poſſimus elicere ratio-
nem ſegmenti A L M C, ad hyperbolam L B M;
habebimus centrum grauitatis ſegmenti hyperbolæ
A L M C; & conſequenter ſolidi A L M C O Q G:
& conſequenter quatuor ſolidorum diſpoſitorum vt
in ſecunda figura. Item ex ſchol. propoſit. 15. habe-
mus centrum æquilibrij in D C, ſegmenti D I M C.
Ex propoſit. 17, habemus centrum grauitatis ſolidi
A L M C. Ergo nec etiam in præſenti quartum
ignorabitur; nempe centrum grauitatis annuli
D I M C O P V. Quod & c.

SCHOLIVM.

Ex prædicto centro inuento, & ex ratione cylin-
dri IV, reperta in citato ſchol. propoſit. 15. per
conuerſionem rationis, ad conicum M C O, re-
periemus in N C, centrum grauitatis conici M C O,
prædicti.

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