Difference between revisions of "OsculatingCircle Command"
From GeoGebra Manual
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(* This command is for 2D objects only. For 3D, you can make a custom tool for example https://www.geogebra.org/m/tan7dxjt) |
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:*<code><nowiki>OsculatingCircle((1, 0), Curve(cos(t), sin(2t), t, 0, 2π))</nowiki></code> yields ''x² + y² + 6x = 7'' | :*<code><nowiki>OsculatingCircle((1, 0), Curve(cos(t), sin(2t), t, 0, 2π))</nowiki></code> yields ''x² + y² + 6x = 7'' | ||
:*<code><nowiki>OsculatingCircle((-1, 0), Conic({1, 1, 1, 2, 2, 3}))</nowiki></code> yields ''x² + y² + 2x + 1y = -1''</div>}} | :*<code><nowiki>OsculatingCircle((-1, 0), Conic({1, 1, 1, 2, 2, 3}))</nowiki></code> yields ''x² + y² + 2x + 1y = -1''</div>}} | ||
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| + | {{note| 1=<div> | ||
| + | * This command is for 2D objects only. For 3D, you can make a custom tool for example https://www.geogebra.org/m/tan7dxjt | ||
| + | </div>}} | ||
Latest revision as of 17:15, 28 September 2019
- 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
