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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22221091[Figure 91] in ipſo ratio A D, ad D Q, continuanda eſt tan-
tum ad tertium terminum; hic ſit k A; vnde duo vl-
timi minimi terminierunt D Q, k A. Ergo eſt pro-
bandum conum ex B A D, eſſe ad conum ex G D Q,
vt dimidium quadrati A D, ad duo rectangula D Q,
K A. Cum enim in tali caſu, ſit A Q, dupla Q D,
erit conus ad conum vt cubus A D, ad 4. cubos Q D;
nempe vt dimidium cubi A D, ad duos cubos D Q.
Sed vt dimidium cubi A D, ad duos cubos Q D, ſic
dimidium quadrati A D, ad duo rectangula D Q,
A k. Quare patet propoſium.
Quod vero vt dimidium cubi ad duos cubos, ſic
dimidium quadrati ad duo rectangula, eſt

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