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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22421292[Figure 92] gradu altioris poteſtate fuſi ad tot ſimiles poteſtates
D Q, quotus eſt duplus numerus fuſi, & ex ratione
B D, ad D F. Sed cum ſit vt poteſtas A D, vno
gradu altior poteſtate fuſi ad ſimilem poteſtatem
D Q, ſic D A, ad A k; vnde & vt poteſtas A D, ad
tot poteſtates D Q, quotus eſt duplus numerus fuſt
ſic D A, ad tot numero A k. Ergo ratio coni ex
triangulo B A D, ad conum ex triangulo G Q D,
componetur ex ratione A D, ad tot A k, quotus eſt
duplus numerus fuſi, & ex ratione B D, ad D F.
Rurſum B D, ad D F, patuit ſupra, eſſe vt poteſtas
A D, eiuſdem gradus cum fuſo ad tot ſimiles poteſta-
tes Q D, quotus eſt duplus numerus fuſi; & vt

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