Definition:Intrinsic Equation/Cesàro Equation

Definition

A Cesàro equation is an intrinsic equation for a curve $C$ such that $C$ is expressed in terms of its intrinsic properties in one of either of the following two forms:

Formulation 1

A Cesàro equation is an intrinsic equation for a curve $C$ such that $C$ is expressed in terms of its intrinsic properties:

Arc length $s$

Curvature $\kappa$

Formulation 2

A Cesàro equation is an intrinsic equation for a curve $C$ such that $C$ is expressed in terms of its intrinsic properties:

Arc length $s$

Radius of curvature $\rho$

Also see

• Results about Cesàro equations can be found here.

Source of Name

This entry was named for Ernesto Cesàro.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): intrinsic equation
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): intrinsic equation

• Weisstein, Eric W. "Cesàro Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CesaroEquation.html