Difference between revisions of "Curvature Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>{{command|other}}
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|other}}
 
;Curvature[ <Point>, <Function> ]
 
;Curvature[ <Point>, <Function> ]
 
: Calculates the curvature of the function in the given point.
 
: Calculates the curvature of the function in the given point.

Revision as of 14:03, 21 July 2015

Curvature

This article is about GeoGebra command.

Command Categories (All commands)


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> ]
Yields the curvature of the object (function, curve, conic) in the given point.
Examples:
  • Curvature[(0 ,0), x^2] yields 2
  • Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]] yields 0
  • Curvature[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]] yields 2
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