Radius of curvature

Radius of curvature and center of curvature

In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof.[1][2][3]

  1. ^ Weisstien, Eric. "Radius of Curvature". Wolfram Mathworld. Retrieved 15 August 2016.
  2. ^ Kishan, Hari (2007). Differential Calculus. Atlantic Publishers & Dist. ISBN 9788126908202.
  3. ^ Love, Clyde E.; Rainville, Earl D. (1962). Differential and Integral Calculus (Sixth ed.). New York: MacMillan.

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