Difference between revisions of "OsculatingCircle Command"
From GeoGebra Manual
(* 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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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|other}} |
− | {{command|other}} | + | ;OsculatingCircle( <Point>, <Function> ) |
− | ; OsculatingCircle | + | :Yields the osculating circle of the function in the given point. |
− | : Yields the osculating circle of the function in the given point. | + | :{{example|1=<code><nowiki>OsculatingCircle((0, 0), x^2)</nowiki></code> yields ''x² + y² - y = 0''.}} |
− | :{{example|1=<code><nowiki>OsculatingCircle | + | ;OsculatingCircle( <Point>, <Curve> ) |
− | ; OsculatingCircle | + | :Yields the osculating circle of the curve in the given point. |
− | : Yields the osculating circle of the curve in the given point. | + | :{{example|1=<code><nowiki>OsculatingCircle((1, 0), Curve(cos(t), sin(2t), t, 0, 2π))</nowiki></code> yields ''x² + y² + 6x = 7''.}} |
+ | |||
+ | |||
+ | ;OsculatingCircle( <Point>, <Object> ) | ||
+ | : Yields the osculating circle of the object (function, curve, conic) in the given point. | ||
+ | :{{examples|1=<div> | ||
+ | :*<code><nowiki>OsculatingCircle((0, 0), x^2)</nowiki></code> yields ''x² + y² - y = 0'' | ||
+ | :*<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>}} | ||
+ | |||
+ | {{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