The Curvature(C, t) calling sequence computes the curvature of the curve C.

The curve C can be specified as a free or position Vector or a Vector-valued procedure.  This determines the returned object type.

If t is not specified, the function tries to determine a suitable variable name by using the components of C.  To do this, it checks all of the indeterminates of type name in the components of C and removes the ones that are determined to be constants.

If the resulting set has a single entry, that single entry is the variable name.  If it has more than one entry, an error is raised.

If a coordinate system attribute is specified on C, it is interpreted in this coordinate system.  Otherwise, the curve is interpreted as a curve in the current default coordinate system. If the curve and the coordinate system are incompatible, an error is returned.