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 165
, points of inflexion,and any other peculiarities which may be suggested at this stage of the proceeding. Ex. 1. Trace the lituus ^ = -];• Solution.—The unit anglebeing that whose arc equals ra-dius is about 570.3. Now let-ting « = 1, and 0 = 1, 2, 3, 4,5, and 6, successively, we getr = ± 1, ± .7,… … Fig. 143. 136 PROPERTIES OF PLANE LOCI. Again — = , a being = 1; whence it appears that r and 9 are decreasing functions of each other throughout all their values, and the curve makes an infinitenumber of revolutions around the pole, commencing from oo when 6 = 0, and reaching the pole when 6 ■=…
Geometry, Analytic · Calculus
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