Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 135
gate hyperbolas, — -h — = 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 thepoint.… … But since (2:^, ?/j) is apoint on the ellipse Fig. 64. its coordinates must satisfy this equation. Hence yi = ^-^^i Ch. IX, § 70] CONIC SECTIONS 119 Substituting this value of y^ in the expression for thedistance, we have FP i=\C 72 2 aex. + CL^e- + ^^ — A; ^\a? (jfi _ J2 Noting that -—-—• = e^^…
Geometry, Analytic
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