Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 232
ll touch the hyperbola ^ m 1, if p^ = m? {a?in^ — ¥). Hence, find the equation of the common tangent to the two curves. 19. The parts of any chord of an hyperbola intercepted between thecurve and its conjugate are equal. I xa - = W2 {a?rn THE HYPERBOLA 215 20. Show that the foci of the hyperbola xy… … To prove AA = BB^ Let A be (x„ y,), B (x., y^). Thenthe chord AB meets the [axes] asymptotes in B (x^ + XgjO)and A (o, y^ + y^. Hence, the mid-point of AB coincides with that of A B^.-., etc. 167, The intercept of any tangent, between the asymp-totes, is bisected at the point of contact. —Let P…
Geometry, Analytic
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