Centers of Curvature of an Ellipse

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We generate the evolute, as the envelope of the normals. Point at parametric location t on the evolute is the center of curvature of the point at parametric location t on the ellipse.

The radius of curvature is the distance between the tangent on the ellipse and the evolute.

Expressions

Name Input
Radius of Curvature Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image