Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 160
ween these two points. 142 Ch. XI, § 79] DIAMETERS 143 Starting the solution of the two equations, y — lxx-\-^and b2x2 + a2y2 = a2b2, we have (J)2 + a2!2) x2 + 2 a\px + a2 (/& - b2) = 0, the two roots of which must be x1 and xT But Hence xf=x1±x. x>= *M- b2 + a\2 [By Art. 8] Since (V, y1) is… … Fig. 78. 144 ANALYTIC GEOMETRY [Ch. XI, § 80 Let the student show that the equation of a diameter oi ^2 2 the hyperbola, ^ — %- = 1, is b2x - a?hy = 0, T611a2, ¥ the parabola, y2=2mx, is l^y-m. [62] The form of the equation of a diameter of an ellipse orhyperbola shoivs that it passes through the…
Geometry, Analytic
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