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 101
umference. Then AP=r, and PAB^Q.Now, from the right angled triangle APB, wehave, by trigonometry, r = 2B cos 0. q. e. d. ScH. 1.—Discussion of ike Equation. If 0= 0, r = 2B. If 6 = ^7t, or f tt, r = 0. For Fig. 78. values of 0 between j7t and f tt, r is negative, indicating that for these val-ues… … ScH. 2.—If the pole is at the centre, the equation is evidently r = R, forall values of 0. 106. IProh,—To produce the General Polar Equation of a Circle. Solution.—Let the constants be (r, 0), theco-ordinates of the centre, C, Fig. 79 ; and E,the radius of the circle. Let P be any point inthe…
Geometry, Analytic · Calculus
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