Difference between revisions of "Curvature 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>Curvature[(0, 0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields ''0.15''. | + | }}}} |
− | }} | + | ;Curvature[ <Point>, <Object> ] |
+ | :Calculates the curvature of the object (function, curve, conic) in the given point. | ||
+ | *'''Curvature[ <Point>, <Function> ]''': Calculates the curvature of the function in the given point. | ||
+ | :{{example|1=<code><nowiki>Curvature[(0 ,0), x^2]</nowiki></code> yields ''2''.}} | ||
+ | *'''Curvature[ <Point>, <Curve> ]''': Calculates the curvature of the curve in the given point. | ||
+ | :{{example|1=<code><nowiki>Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields ''0''.}} | ||
+ | *'''Curvature[ <Point>, <Conic> ]''': Calculates the curvature of the conic in the given point. | ||
+ | :{{example|1=<code><nowiki>Curvature[(0 ,0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields ''0.15''.}} |
Revision as of 07:36, 30 July 2014
- Curvature[ <Point>, <Function> ]
- Calculates the curvature of the function in the given point.
- Example:
Curvature[(0 ,0), x^2]
yields 2.
- Curvature[ <Point>, <Curve> ]
- Calculates the curvature of the curve in the given point.
- Example:
Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]
yields 0.
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. |
- Curvature[ <Point>, <Object> ]
- Calculates the curvature of the object (function, curve, conic) in the given point.
- Curvature[ <Point>, <Function> ]: Calculates the curvature of the function in the given point.
- Example:
Curvature[(0 ,0), x^2]
yields 2.
- Curvature[ <Point>, <Curve> ]: Calculates the curvature of the curve in the given point.
- Example:
Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]
yields 0.
- Curvature[ <Point>, <Conic> ]: Calculates the curvature of the conic in the given point.
- Example:
Curvature[(0 ,0), Conic[{1, 1, 1, 2, 2, 3}]]
yields 0.15.