CurvatureVector Command

CurvatureVector( <Point>, <Function> )

Yields the curvature vector of the function in the given point.

CurvatureVector((0, 0), x^2) yields vector (0, 2).

CurvatureVector( <Point>, <Curve> )

Yields the curvature vector of the curve in the given point.

CurvatureVector((0, 0), Curve(cos(t), sin(2t), t, 0, π)) yields vector (0, 0).

CurvatureVector( <Point>, <Object> )

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

Examples:

  • CurvatureVector((0, 0), x^2) yields vector (0, 2)

  • CurvatureVector((0, 0), Curve(cos(t), sin(2t), t, 0, π)) yields vector (0, 0)

  • CurvatureVector((-1, 0), Conic({1, 1, 1, 2, 2, 3})) yields vector (0, -2)