Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 226
ts the asymptotes in C, C.Prove, C, C\ F, F [foci], are concylic. 26. The segment of a tangent to an hyperbola intercepted by the con-jugate hyperbola, is bisected at the point of contact. THE HYPERBOLA 209 161. The asymptote is a tangent from the center. — If the tangent y = itix ± \liv?a? — IP… … Fig. 127. OX and OY are the asymptotes, <^ is the semi-angle be-tween them. P is (x, y) to the former axes, (x% y) to thenew axes. a; = ON + ISTL + LQ = OK cos <^ + EL cos (^ + LP cos ^= (OR + PR) cos <^, .. x — {x -\- y) cos <^. y = PQ = PL sin (^ = (PR - LR) sin «j!> = (PR - OR)…
Geometry, Analytic
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