Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 137
gate hyperbolas, --\—= 1 and ae = be. e e 4. Find the equation of the equilateral hyperbola referredto its asymptotes as axes. Xote. —Revolve the axes through the angle — lo:. 70. Focal radii of a central conic. — The distance of apoint on a conic from a focus is called a focal radius of the■… … VCrj - aef + y*. ■ But since (xv yx) is apoint on the ellipse Fig. 64. its coordinates must satisfy this equation. Hence Vi 2 = £2- Ch. IX, § 70] CONIC SECTIONS 119 Substituting this value of y-f in the expression for thedistance, we have Noting thatthis reduces to FP^yJx*-a2-b2 a 2 aexl + a2e2 +…
Geometry, Analytic
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