Topic: Arc Length and Curvature

Unit Tangent Vectors for Non-Unit-Speed Curves

Characterizing Unit-Speed Curves

Regularity at Points and Arc-Length Reparametrization

Inverting Arc Length to Build a New Parameter

Unit-Speed Reparametrizations

Why Arc Length Is Invariant Under Reparametrization

The Cumulative Arc-Length Function

Non-Elementary Arc-Length Integrals and Numerical Estimates

Reversed and Rescaled Curve Parameters

Arc Length of Polar Curves