Difference between revisions of "Curvature Command"

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(repeated description: fixed)
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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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{{betamanual|version=5.0|{{Note|1=From GeoGebra 5, this command will work with conics as well.}}
}}}}
 
 
;Curvature[ <Point>, <Object> ]
 
;Curvature[ <Point>, <Object> ]
:Calculates the curvature of the object (function, curve, conic) in the given point.
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: Yields the curvature of the object (function, curve, conic) in the given point.
*'''Curvature[ <Point>, <Function> ]''': Calculates the curvature of the function in the given point.
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:{{examples|1=<div>
:{{example|1=<code><nowiki>Curvature[(0 ,0), x^2]</nowiki></code> yields ''2''.}}
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:*<code><nowiki>Curvature[(0 ,0), x^2]</nowiki></code> yields ''2''
*'''Curvature[ <Point>, <Curve> ]''': Calculates the curvature of the curve in the given point.
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:*<code><nowiki>Curvature[(1, 0), Curve[cos(t), sin(2t), t, 0, ]]</nowiki></code> yields ''0''
:{{example|1=<code><nowiki>Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields ''0''.}}
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:*<code><nowiki>Curvature[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields ''0.15''</div>}}
*'''Curvature[ <Point>, <Conic> ]''': Calculates the curvature of the conic in the given point.
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}}
:{{example|1=<code><nowiki>Curvature[(0 ,0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields ''0.15''.}}
 

Revision as of 12:08, 1 August 2014


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.


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