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
51	39
52	40
53	41
54	42
55	43
56	44
57	45
58	46
59	47
60	48
61	49
62	50
63	51
64	52
65	53
66	54
67	55
68	56
69	57
70	58
71	59
72	60
73	61
74	62
75	63
76	64
77	65
78	66
79	67
80	68

5139 bolici contento inter duo plana baſi parallela, ad
ipſum.

PROPOSITIO XV.

Si ſegmento conoidis hyperbolici reſecti plano baſi parallelo,
ſit circumſcriptus cylindrus. Erit bic ad ipſum ſegmen-
tum, vt rectangulum ſub compoſita ex latere tranſuer-
ſo, & ex diametro conoidis, & ſub diametro, ad re-
ctangulum ſub eadem compoſita, & ſub diametro co-
noidis ad verticem, vna cum rectangulo ſub compoſi-
ta ex dimidio lateris tranſuerſi, & ex tertia parte dia-
metri fruſti, & ſub eadem tertia parte.

COnoides hyperbolicum cuius baſis A C, ver-
tex B, diameter D B, latus tranſuerſum.
G B, intelligatur ſectum plano H K I, A C, pa-
rallelo, & ipſi ſit circumſcriptus cylindricus L C. Di-
co hunc eſſe ad ſegmentum conoidis, vt rectangu-
lum G D B, ad rectangulum ſub G D, in B k,
vna cum rectangulo ſub compoſita ex dimidia G B,
& tertia parte D k, & ſub tertia parte D k.

Segmento A H I C, intelligatur inſcriptum ſeg.
mentum E N O F, conoidis parabolici cuius ver-
tex B, conditionis ſupra ſæpe expoſitæ; & in talibus
ſegmentis intelligantur ſegmenta conorum inſcri-
ptorum in integris conoidibus, quæ ſint A P Q C,
E R S F. Quoniam fruſtum A H I C, conſtat ex
fruſto parabolico, & ex differentia fruſtorum

Page concordance

Text layer

Text normalization

Search

Scan	Original
51	39
52	40
53	41
54	42
55	43
56	44
57	45
58	46
59	47
60	48
61	49
62	50
63	51
64	52
65	53
66	54
67	55
68	56
69	57
70	58
71	59
72	60
73	61
74	62
75	63
76	64
77	65
78	66
79	67
80	68

Scan	Original
51	39
52	40
53	41
54	42
55	43
56	44
57	45
58	46
59	47
60	48
61	49
62	50
63	51
64	52
65	53
66	54
67	55
68	56
69	57
70	58
71	59
72	60
73	61
74	62
75	63
76	64
77	65
78	66
79	67
80	68

Scan	Original
51	39
52	40
53	41
54	42
55	43
56	44
57	45
58	46
59	47
60	48
61	49
62	50
63	51
64	52
65	53
66	54
67	55
68	56
69	57
70	58
71	59
72	60
73	61
74	62
75	63
76	64
77	65
78	66
79	67
80	68