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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138126 tijs. Ergo centrum grauitatis prædicti exceſſus ſecat
BD, in I, in prædicta ratione.

PROPOSITIO XXXII.

Semifuſi hyperbolici cuiuſcunque, ſuppoſita hyperbolœ quæ-
dratura, poſſumus centrum grauit atis reperire.

SVpponamus in ſeq. figura D B C, eſſe ſemi-
hyperbolam, cuius diameter C D, baſis B D,
latus tranſuerſum CZ, centrum S. Dico, ſuppo-
ſita hyperbolæ quadratura, nos poſſe reperire cen-
trum grauitatis ſemifuſi hyperbolici A B C. Diſpo-
nantur quatuor ſolida vt ſupra, & vt in ſecunda figu-
ra, ſed duo extrema A H, T B, intelligantur eſſe
annulos non ſtrictos, vt ſchema exprimit, ſed latos,
ortos ex rotatione ſemihyperbolæ D B C, ſeq. fi-
guræ circa ſecundam diametrum T S. Ergo horum
quatuor ſolidorum ſic diſpoſitorum vt in illa fi-
gura habemus centrum grauitatis in V X, quia ha-
bemus centrum grauitatis ſolidi A B C Z H G, ſeq.
figuræ, quod ex propoſit. 30. eſt proportionali-
ter analogum cum quatuor ſolidis ſecundæ figu-
ræ. Habemus autem centrum grauitatis ſolidi
A B C Z H G, quia habemus in baſi B D, centrum
grauitatis figuræ A B C, conſtantis ex duabus ſe-
mihyperbolis, ex propoſit. 12. in qua, ſuppoſita hy-
perbol quadratura, inuentum fuit centrum æqui-
librij ſemihype bolæ D B C, in baſi B D, &

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