Definition:Cornu Spiral

Definition
The Cornu spiral is the locus $C$ of the equation expressed in intrinsic coordinates as:
 * $s = a^2 \kappa$

where:
 * $s$ denotes the length of arc at a point of $C$ from the origin
 * $\kappa$ denotes the curvature of $C$ at that point.


 * CornuSpiral.svg

Also presented as
The Cornu spiral can also be presented in the form:


 * $s = a^2 \dfrac {\d \psi} {\d s}$

where $\psi$ is the turning angle of $C$ at the point where the length of arc from the origin is $s$.

Also known as
Other names for the Cornu spiral include:


 * Euler spiral (for )
 * klothoid or clothoid

Also see

 * Equation of Cornu Spiral/Parametric