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 108
D. 27t 117. Cor.—Tlie Reciprocal or Hyperbolic Spii^al. This Spiral is naturally suggested by the Spiral of Archimedes, as in it theradius vector varies inversely as the variable angle. Hence the equation islit CoNSTBUCTioN.—To construct theBecip-rocal Spiral, let A be the pole, and AXthe polar… … Fig. 84. OF HIGHER PLANE CURVES. 79 in th6 curve. Since r can become 0 only when 6 = go, this curve continues to ap-proach the pole as the radius vector revolves, but reaches it only upon an infinitenumber of revolutions.
Geometry, Analytic · Calculus
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