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 143
0, or in the axis of y. Q. e. d. (b) NOEMALS TO POLAR CURVES. 16S, Def.—The Subnormal to a polar curveis the distance from the pole to the normal, measuredon a line perpendicular to the radius vector to thepoint in the curve to which the normal is drawn.Thus E P is the subnormal of the curve M N… … tan PER dr_ tan PTR Q. E. D. rdBdr = -r-. .. PE or subnormal = Fig. 115. 114 PKOPERTIES OF PLANE LOCI. Ex. 1. Show that is the value of the polar subnormal r of the lemniscate of Bernouilli. T Ex. 2. Show that the subnorraal to the logarithmic spiral is —, 7n being the modulus of the system ; and,…
Geometry, Analytic · Calculus
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
