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 147
the jxrjoendicidarfroin the pole upon the tangent. SINGULAR rOINTS. 117 Dem.—By a simple inspection of(a) Fig. 120, it will be seen that rand p are increasing functions ofeach other when the curve and polelie on the same side of the tangent; In like manner (If hence -r- is -{-. dp from (&) it… … Fig. 120. 174:, ScH.—In applying this polar test for direction of curvature, it isnecessary that the equation be in terms of p and r. If given in r and 0, 6 can be eliminated between the equation of the curve, and p = {168). Ex. 1. Examine the lituus ( r = — ) vrith reference to direction…
Geometry, Analytic · Calculus
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