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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8674 illa plana duobus tertijs rectanguli k A B. Ergo tu-
bus cylindricus A D K L, erit ad prædictum annu-
lum, vt rectangulum K A B, ad duotertia eiuſdem
rectanguli; nempe in ratione ſeſquialtera. Quod
erat oſtendendum.
Si recta linea A B, ſecetur in C, bifariam, & in D,
E, æque remotè à C, eodemque modo in F, G. Re-
ctangulum A G B, erit exceſſus rectanguli A E B, ſu-
pra rectangulum F E G.
36[Figure 36]
NAm rectangulum A E B, diuiditur in rectan-
gulum A E G, & in rectangulum A F, G B.
Pariter rectangulum A E G, diuiditur in rectangu-
lum F E G, & in rectangulum A F, E G, ſeù B G F,
quia A F, @xhypotheſi, @ſt æqualis G B. Ergo ex-
ceſſus rectanguli A E B, ſupra rectangulum F E G,
eſt rectangulum A E, G B, cum rectangulo E G B;
quæ duo rectangula ſunt æqualia rectangulo A G B.
Quare patet propoſitum.

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