Curvature Command

Curvature( <Point>, <Function> )

Calculates the curvature of the function in the given point.

Example: Curvature((0 ,0), x^2) yields 2.

Curvature( <Point>, <Curve> )

Calculates the curvature of the curve in the given point.

Example: Curvature((0, 0), Curve(cos(t), sin(2t), t, 0, π)) yields 0.

Curvature( <Point>, <Object> )

Yields the curvature of the object (function, curve, conic) in the given point.

Examples:

• Curvature((0 ,0), x^2) yields 2
• Curvature((0, 0), Curve(cos(t), sin(2t), t, 0, π)) yields 0
• Curvature((-1, 0), Conic({1, 1, 1, 2, 2, 3})) yields 2