Cesàro equation
Equation in geometry / From Wikipedia, the free encyclopedia
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In geometry, the Cesàro equation of a plane curve is an equation relating the curvature (κ) at a point of the curve to the arc length (s) from the start of the curve to the given point. It may also be given as an equation relating the radius of curvature (R) to arc length. (These are equivalent because R = 1/κ.) Two congruent curves will have the same Cesàro equation. Cesàro equations are named after Ernesto Cesàro.