curvature

Examples of curvature in the following topics:

• Arc Length and Curvature

  • On any curve, there is a center of curvature, C.
  • The curvature can also be approximated using limits.
  • Curvature is the amount an object deviates from being flat.
  • The curvature of C at P is then defined to be the curvature of that circle or line.
  • The radius of curvature is defined as the reciprocal of the curvature.

• Parametric Surfaces and Surface Integrals

  • The curvature and arc length of curves on the surface can both be computed from a given parametrization.