Difference between revisions of "Curvature Command"

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:{{example|1=<code><nowiki>Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields ''0''.}}
 
:{{example|1=<code><nowiki>Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields ''0''.}}
  
{{betamanual|version=5.0|{{Note|1=From GeoGebra 5, this command will work with conics as well.}}
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;Curvature[ <Point>, <Object> ]
 
;Curvature[ <Point>, <Object> ]
 
: Yields the curvature of the object (function, curve, conic) in the given point.
 
: Yields the curvature of the object (function, curve, conic) in the given point.

Revision as of 10:53, 29 July 2015


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:
  • 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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