Curvature Command
From GeoGebra Manual
- 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.
Following text is about a feature that is supported only in GeoGebra 5.0.
Note: From GeoGebra 5, this command will work with conics as well. |
- Curvature[ <Point>, <Object> ]
- Calculates the curvature of the object (function, curve, conic) in the given point.
- 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>, <Conic> ]: Calculates the curvature of the conic in the given point.
- Example:
Curvature[(0 ,0), Conic[{1, 1, 1, 2, 2, 3}]]
yields 0.15.