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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47[Figure 47] infinitorum annulorum ex ipſis ſic ſecare F C, vt
pars terminata ad F, ſit ad partem terminatam ad
C, in primo annulo ex prima parabola vt 2. ad 1. In
ſec. vt 3. ad 2. in tertio vt 4. ad 3. & ſic in infinitum.
Ratio eſt, quia ex ſchol. prim. propoſit 2. lib. 2. ha-
bemus centrum grauitatis infinitarum parabolarum
ſic ſecare B D.

Si autem ſupponamus A B C, eſſe quamlibet
infinitarum parabolarum, & E C, eſſe parallelo-
grammum infinitis parabolis circumſcriptum. Ha-
bebimus centrum grauitatis infinitorum annulorum
ortorum ex reuolutione exceſſuum infinitorum pa-
rallelogrammorum ſupra infinitas parabolas. Hoc
autem centrum grauitatis ſic ſecabit F C, vt pars
terminata ad F, ſit ad partem terminatam ad C, vt
numerus annuli vnitate auctus, ad triplum nume-
rum annuli vnitate auctum. V. g. in primo annulo
vt 2. ad 4. In ſecundo, vt 3. ad 7. In tertio vt 4.

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Scan	Original
111	99
112	100
113	101
114	102
115	103
116	104
117	105
118	106
119	107
120	108
121	109
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123	111
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125	113
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