Difference between revisions of "CurvatureVector Command"

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).

@@ Line 6: / Line 6: @@
 ; 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 ''(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.
-:{{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)''.}}