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.
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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. |
- OsculatingCircle[ <Point>, <Object> ]
- Yields the osculating circle of the object (function, curve, conic) in the given point.
- 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>, <Conic> ]: Yields the osculating circle of the conic in the given point.
- Example:
OsculatingCircle[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]]yields x² + y² + 2x +1y = -1.
