OsculatingCircle Command
From GeoGebra Manual
- OsculatingCircle( <Point>, <Function> )
- Yields the osculating circle of the function in the given point.
- Example:
OsculatingCircle((0, 0), x^2)
yields x² + y² - y = 0.
- OsculatingCircle( <Point>, <Curve> )
- Yields the osculating circle of the curve in the given point.
- Example:
OsculatingCircle((1, 0), Curve(cos(t), sin(2t), t, 0, 2π))
yields x² + y² + 6x = 7.
- OsculatingCircle( <Point>, <Object> )
- Yields the osculating circle of the object (function, curve, conic) in the given point.
- Examples:
OsculatingCircle((0, 0), x^2)
yields x² + y² - y = 0OsculatingCircle((1, 0), Curve(cos(t), sin(2t), t, 0, 2π))
yields x² + y² + 6x = 7OsculatingCircle((-1, 0), Conic({1, 1, 1, 2, 2, 3}))
yields x² + y² + 2x + 1y = -1
Note:
- This command is for 2D objects only. For 3D, you can make a custom tool for example https://www.geogebra.org/m/tan7dxjt