Category:Definitions/Turning Angles

This category contains definitions related to Turning Angles.
Related results can be found in Category:Turning Angles.

Let $C$ be a curve.

The turning angle is an intrinsic property of $C$ which measures of how sharply a curve changes direction.

The turning angle $\psi$ of $C$ at a point $P$ is defined by the differential equation:

$\kappa = \dfrac {\d \psi} {\d s}$

where:

$\kappa$ is the curvature at $P$

$\dfrac {\d \psi} {\d s}$ is the derivative of $\psi$ with respect to the arc length $s$.