Cesàro equation
In geometry, the Cesàro equation of a plane curve is an equation relating the curvature at a point of the curve to the arc length from the start of the curve to the given point. It may also be given as an equation relating the radius of curvature to arc length. Two congruent curves will have the same Cesàro equation. Cesàro equations are named after Ernesto Cesàro.Examples
Some curves have a particularly simple representation by a Cesàro equation. Some examples are:
The Cesàro equation of a curve is related to its Whewell equation in the following way. If the Whewell equation is
