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A first course in analytical geometry (1905)

Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 330

An illustration from A first course in analytical geometry, 1905, leaf 330
.The order of the subscripts is cyclic. 312 APPENDIX 313 The student should prove the generality of this theorem bytaking various other positions of the polygon.Note 2. — Eccentric angle of a point on the hyperbola. … Fig. 163. Let P be any point on the hyperbola, PN its ordinate.Describe the auxiliary circles, x + if -hif = b^ (1)(2)Then [by -] From N draw NA tangent to circle (1). Draw OA. Z AOM = c^, is the eccentric angle of P. Now, X = ON = a sec </>. 2/ = PN = 6 tan <^ X y substitution in -^ — th…

Geometry, Analytic

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