Difference between revisions of "OsculatingCircle Command"
From GeoGebra Manual
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{{betamanual|version=5.0|{{Note|1=From GeoGebra 5, this command will work with conics as well. | {{betamanual|version=5.0|{{Note|1=From GeoGebra 5, this command will work with conics as well. | ||
| − | :{{example|1=<code><nowiki>OsculatingCircle[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields ''x² + y² + 2x +1y = -1''. | + | }}}} |
| − | }} | + | ;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|1=<code><nowiki>OsculatingCircle[(0 ,0), x^2]</nowiki></code> yields ''x² + y² - y = 0''.}} | ||
| + | *'''OsculatingCircle[ <Point>, <Curve> ]''': 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>, <Conic> ]''': Yields the osculating circle of the conic in the given point. | ||
| + | :{{example|1=<code><nowiki>OsculatingCircle[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields ''x² + y² + 2x +1y = -1''.}} | ||
Revision as of 07:58, 30 July 2014
- 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.
 |
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.
