Difference between revisions of "Curvature Command"

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

Latest revision as of 07:53, 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:
  • 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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