CurvatureVector Command

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CurvatureVector[ <Point>, <Function> ]
Yields the curvature vector of the function in the given point.
Example: CurvatureVector[(0, 0), x^2] yields vector (0, 2).
CurvatureVector[ <Point>, <Curve> ]
Yields the curvature vector of the curve in the given point.
Example: 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)
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