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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72[Figure 72] ſuum conum, & parabolam eſſe quantitates propor-
tionaliter analogas tam in magnitudine, quam in
grauitate, tam ſecundum totum, quam ſecundum
partes proportionales. Vnde quantum ad magnitu-
dinem, patet illum exceſſum ſecari à plano F G, bi-
fariam, ſicuti etiam parabola ſecatur bifariam à dia-
metro, ſed ſic bifariam, vt partes ſupra, & infrà pla-
num F G, ſint ſemper ſimiles, & æquales tam ſe-
cundum totum, quam ſecundum partes proportio-
nales. Quantum vero ad grauitatem, patet in pri-
mis centrum grauitatis prædicti exceſſus eſſe in me-
dio B D, ſicuti in medio A C, baſis parabolæ, eſt
centrum æquilibrij parabolæ. Inſuper pater, dimi-
dij exceſſus ſuperioris centrum grauitatis ſic ſecare
B E, vt pars ad B, ſit ad partem ad E, vt 5, ad 3;
quod habetur ex ſchol. 2. propoſit. 2. lib. 3. In eadem
ratione ſecatur D E, à centro grauitatis partis inſe-
rioris, adeovt pars ad D, terminata, ſit ad

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