Difference between revisions of "Curvature Command"

Latest revision as of 08:53, 9 October 2017

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>, <Object> )

Yields the curvature of the object (function, curve, conic) in the given point.

Examples:

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|other}}
-{{command|other}}
+;Curvature( <Point>, <Function> )
-;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''.}}
+:{{example|1=<code><nowiki>Curvature((0 ,0), x^2)</nowiki></code> yields ''2''.}}
-;Curvature[ <Point>, <Curve> ]
+;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>, <Object> )
+: Yields the curvature of the object (function, curve, conic) in the given point.
+:{{examples|1=<div>
+:*<code><nowiki>Curvature((0 ,0), x^2)</nowiki></code> yields  ''2''
+:*<code><nowiki>Curvature((0, 0), Curve(cos(t), sin(2t), t, 0, π))</nowiki></code> yields ''0''
+:*<code><nowiki>Curvature((-1, 0), Conic({1, 1, 1, 2, 2, 3}))</nowiki></code> yields ''2''</div>}}