A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 69
tex, is B\ and of the hyperbola, B^ Dem.—In either of the annexed figures, let AX and AY be the axes, F the focus, and C B the directrix. Now a = 0 ; n=0; m=^A^Ae; d= — AG= — A—Ae Ae—A . ,. „. = m the ellipse, and e e 4 AG = —— in the hyperbola, hence e in general d = (49), Substitut-ing these… … Fig. 42. y2 = -77(^Ax — a;2), andB^ y* = — ^ (2<5fa5 —«2). Q. B. D. 40 THE CARTESIAJN METHOD OF CO-OKDINATES. SG» Cor. 6.—The equation of the circle referred to a pair of diametersat right angles to each other is 2/2 -f 572 = B2, THE Common Form.When the reference is to a diameter and a tangent…
Geometry, Analytic · Calculus
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