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

Scan	Original
81	69
82	70
83	71
84	72
85	73
86	74
87	75
88	76
89	77
90	78
91	79
92	80
93	81
94	82
95	83
96	84
97	85
98	86
99	87
100	88
101	89
102	90
103	91
104	92
105	93
106	94
107	95
108	96
109	97
110	98

10290

PROPOSITIO XXVIII.

Exceſſus cylindri circumſ@ripti conoidi hyperbolico ſupra
cylindrum circumſcriptum conoidi parabolico ſæpe ex-
plicato, est ad differentiam conoideorum, vt paralle-
logrammum circumſcriptum trilineo quadratico ad ip-
ſum, tam ſecundum totum, quam ſecundum partes
proportionales; ſi diametri trilinei, & conoidis ſecentur
proportionaliter.

SInt ergo conoidea hyperbolicum A B C, & pa-
rabolicum E B F, vt ſæpe dictum eſt, cum cir-
cumſcriptis cylindris Q C, T F, & inſuper ſit ſe-
miparabola B C O, cuius diameter O B, baſis
O C, & parallelogrammum ei circumſcriptum ſit
D O, adeovt D B C, ſit trilineum quadraticum, cu-
ius diameter D B. Dico tubum cylindricum
Q E L C, eſſe ad differentiam conoideorum, vt pa-
rallelogrammum D O, ad trilineum B D C, tam
ſecundum totum, quam fecundum partes propor-
tionales. Sumatur in D B, diametro arbitrariè pun-
ctum G, per quod in ſolidis intelligatur tranfire pla-
num H K, plano A C, parallelum, ſecans tubum
in P, conoides hyperbolicum in M, & paraboli-
cum in R: item in parallelogrammo ducatur GK,
parallela D C, ſecans curuam parabolicam in S.
Quoniam ex propoſit. 3. rectangulum A E C, eſt
ad rectangulum M R V, vt quadratum D B,

Page concordance

Text layer

Text normalization

Search

Scan	Original
81	69
82	70
83	71
84	72
85	73
86	74
87	75
88	76
89	77
90	78
91	79
92	80
93	81
94	82
95	83
96	84
97	85
98	86
99	87
100	88
101	89
102	90
103	91
104	92
105	93
106	94
107	95
108	96
109	97
110	98

Scan	Original
81	69
82	70
83	71
84	72
85	73
86	74
87	75
88	76
89	77
90	78
91	79
92	80
93	81
94	82
95	83
96	84
97	85
98	86
99	87
100	88
101	89
102	90
103	91
104	92
105	93
106	94
107	95
108	96
109	97
110	98

Scan	Original
81	69
82	70
83	71
84	72
85	73
86	74
87	75
88	76
89	77
90	78
91	79
92	80
93	81
94	82
95	83
96	84
97	85
98	86
99	87
100	88
101	89
102	90
103	91
104	92
105	93
106	94
107	95
108	96
109	97
110	98