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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7866 ad quadratum EB, cum tertia parte rectanguli k A B.
Quod erat oſtendendum.

His oſtenſis adinuenietur centrum grauitatis hy-
perbolæ ſic.

PROPOSITIO XXII.

Si hyperbolæ circumſcriptum par allelogrammum intelliga-
tur productum vſque ad ſecundam diametrum, & fiat
vt quadratum compoſitæ ex axi hyperbolæ, & ex di-
midia lateris tranſuerſi, ad quadratum dimidiæ lateris
tranſuerſi cum rectangulo ſub axi, & ſub compoſita
ex axi, & ex latere tranſuerſo, ſic compoſita ex di-
midia lateris tranſuerſi, & ex axi, ad aliam: item
fiat vt dimidium prædicti parallelogrammi ad exceſſum
totius parallelogrammi ſupra hyperbolam, ſic compoſita
ex axi, & ex dimidia lateris tranſuerſi, ad aliam:
tandem fiat vt ſecunda inuenta ad primam inuentam,
ſic compoſita ex axi, & ex dimidia lateris tranſuerſi
ad ſui partem abſcindendam incipiendo à ſecunda dia-
metro. Erit punctum quod est alter terminus huius ab-
ſciſſæ centrum grauitatis exceſſus parallelogrammi ſupra
hyperbolam.

ESto hyperbola A B C, cuius axis B D; latus
tranſuerſum B E; centrum F; ſecunda dia-
meter G H; & G C, ſit parallclogrammum: fiat
vt quadratum F D, ad quadratum F B, cum

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