Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 166
6 ?/-= 25 passesthrough the point (1, — 2). Find its extremities and theextremities of its conjugate diameter. 10. AVhat is the relation between the slopes of the con-jugate diameters of the equilateral hyperbola xy = k? 82. Theorems concerning diameters. — 1. In the ellipsethe sum of the squares… … Fig. 81. Adding, a2 + 52 = (a2 + J2) ^ + (^,,2 ^ 52) e^, But since P^ is on the ellipse, ^ + ^ = 1, and ti2 + J2 ^ ^2 ^ 52. 2. i/i f/ie hyperbola the difference of the squares of anytwo conjugate semi-diameters is equal to the difference of thesquares of the semi-axes. 3. The product of the focal…
Geometry, Analytic
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