Viviani, Vincenzo - De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei

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21028 intra Hyperbolen, inter axem, & peripheriam, vt in ſexta, & ſeptima
(nam ſi eſſet in ipſa peripheria, vt in A, tunc _MINIMA_ abiret in pun-
ctum.) Iungatur H, centrum Hyperbolæ, cum dato puncto F recta linea
H F, quæ ita ſecetur in I, vt H I ad I F ſit vt tranſuerſum latus G B ad
rectum B E, ſumaturque H L æqualis F I, & per L agatur L M axi B D
æquidiſtans, ac per I axi ordinata N I O, & in angulo N O M per datum
in eo punctum A deſcribatur Hyperbole F A, quæ in vno tantùm 114. ſecun-
di conic. ctum A cum ſectione A B C conueniet. Dico iunctam F A eſſe 2212. h. _MAM_ quæſitam.

173[Figure 173]

Ducatur A P axi ordinata, & A Q Hyperbolen contingens in A, 332. pr. h. ſecabit axim in Q. Et quoniam in Hyperbola A F ſumpta ſunt duo 4424. pri-
mi conic. cta A, F, è quorum altero A ducta eſt A P alteri aſymptoto N O æqui-
diſtans, ex altero verò F, recta F I L H vtranque aſymptoton ſecans in
I, L; eſtque L H in directum, & æqualis poſita ipſi I F, & ex H recta
H B P alteri aſymptoto O M æquidiſtans, cum alia A P conueniens in P,
erit iuncta I P parallela ad F A; ſed H P ſecat I P alteram 5514. h. quare producta ſecabit quoque reliquam H F: ſecet igitur in R. Erit er-
go in triangulo H F R (ob parallelas) H P ad P R, vt H I ad I F, vel

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Scan	Original
101	77
102	78
103	79
104	80
105	81
106	82
107	83
108	84
109	85
110	86
111	87
112	88
113	89
114	90
115	91
116	92
117	93
118	94
119	95
120	96
121	97
122	98
123	99
124	100
125	101
126	102
127	103
128	104
129	105
130	106

Scan	Original
101	77
102	78
103	79
104	80
105	81
106	82
107	83
108	84
109	85
110	86
111	87
112	88
113	89
114	90
115	91
116	92
117	93
118	94
119	95
120	96
121	97
122	98
123	99
124	100
125	101
126	102
127	103
128	104
129	105
130	106