Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 135
nju-gate hyperbolas, — + — = 1 and ae = be. 4. Find the equation of the equilateral hyperbola referredto its asymptotes as axes. Note. —Revolve the axes through the angle — 45°. 70. Focal radii of a central conic. — The distance of apoint on a conic from a focus is called a focal radius of… … V (x-x — ae)2 + #!2. But since (xv y±) is apoint on the ellipse Fig. 64. b2x2 + a2y2 = a2b2,its coordinates must satisfy this equation. Hence Vx^^-T^ a? Oh. IX, § 70] CONIC SECTIONS 119 Substituting this value of y^ in the expression for thedistance, Ave have FP1 = yjx2 - 2 aexx + a2e2 + b2 - h\…
Geometry, Analytic
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