Difference between revisions of "CurvatureVector Command"
From GeoGebra Manual
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; CurvatureVector[ <Point>, <Curve> ] | ; CurvatureVector[ <Point>, <Curve> ] | ||
: Yields the curvature vector of the curve in the given point. | : Yields the curvature vector of the curve in the given point. | ||
− | :{{example|1=<code><nowiki>CurvatureVector[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields ''(0, 0)''.}} | + | :{{example|1=<code><nowiki>CurvatureVector[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields vector ''(0, 0)''.}} |
{{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>CurvatureVector[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields ''(0, -2)''. | + | }}}} |
− | }} | + | ;CurvatureVector[ <Point>, <Object> ] |
+ | :Yields the curvature vector of the object (function, curve, conic) in the given point. | ||
+ | *'''CurvatureVector[ <Point>, <Function> ]''': Yields the curvature vector of the function in the given point. | ||
+ | :{{example|1=<code><nowiki>CurvatureVector[(0 ,0), x^2]</nowiki></code> yields vector ''(0, 2)''.}} | ||
+ | *'''CurvatureVector[ <Point>, <Curve> ]''': Yields the curvature vector of the curve in the given point. | ||
+ | :{{example|1=<code><nowiki>CurvatureVector[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields vector ''(0, 0)''.}} | ||
+ | *'''CurvatureVector[ <Point>, <Conic> ]''': Yields the curvature vector of the conic in the given point. | ||
+ | :{{example|1=<code><nowiki>CurvatureVector[(-1 ,0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields vector ''(0, -2)''.}} |
Revision as of 07:43, 30 July 2014
- CurvatureVector[ <Point>, <Function> ]
- Yields the curvature vector of the function in the given point.
- Example:
CurvatureVector[(0,0), x^2]
yields vector (0, 2).
- CurvatureVector[ <Point>, <Curve> ]
- Yields the curvature vector of the curve in the given point.
- Example:
CurvatureVector[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]
yields vector (0, 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. |
- CurvatureVector[ <Point>, <Object> ]
- Yields the curvature vector of the object (function, curve, conic) in the given point.
- CurvatureVector[ <Point>, <Function> ]: Yields the curvature vector of the function in the given point.
- Example:
CurvatureVector[(0 ,0), x^2]
yields vector (0, 2).
- CurvatureVector[ <Point>, <Curve> ]: Yields the curvature vector of the curve in the given point.
- Example:
CurvatureVector[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]
yields vector (0, 0).
- CurvatureVector[ <Point>, <Conic> ]: Yields the curvature vector of the conic in the given point.
- Example:
CurvatureVector[(-1 ,0), Conic[{1, 1, 1, 2, 2, 3}]]
yields vector (0, -2).