Difference between revisions of "Curve Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}}
{{command|function}}
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;Curve( <Expression>, <Expression>, <Parameter Variable>, <Start Value>, <End Value> )
;Curve[ <Expression>, <Expression>, <Parameter Variable>, <Start Value>, <End Value> ]
 
 
: Yields the Cartesian [[Curves#Parametric curves|parametric curve]] for the given ''x''-expression (first <Expression>) and ''y''-expression (second <Expression>) (using parameter variable) within the given interval [''Start Value'', ''End Value''].
 
: Yields the Cartesian [[Curves#Parametric curves|parametric curve]] for the given ''x''-expression (first <Expression>) and ''y''-expression (second <Expression>) (using parameter variable) within the given interval [''Start Value'', ''End Value''].
:{{Example|1=<code><nowiki>Curve[2 cos(t), 2 sin(t), t, 0, 2π]</nowiki></code> creates a circle with radius ''2'' around the origin of the coordinate system.}}
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:{{Example|1=<code><nowiki>Curve(2 cos(t), 2 sin(t), t, 0, 2π)</nowiki></code> creates a circle with radius ''2'' around the origin of the coordinate system.}}
:{{note|1=<div>
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<br>
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;Curve( <Expression> , <Expression> , <Expression> , <Parameter Variable> , <Start Value> , <End Value>  )
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: Yields the 3D Cartesian parametric curve for the given ''x''-expression (first <Expression>), ''y''-expression (second <Expression>) and ''z''-expression (third <Expression>) (using parameter variable) within the given interval [''Start Value'', ''End Value''].
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:{{Example|1=<code><nowiki>Curve(cos(t), sin(t), t, t, 0, 10π)</nowiki></code> creates a 3D spiral.}}
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<br>
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:{{notes|1=<div>
 
:*''End Value'' must be greater than or equal to ''Start Value'' and both must be finite.
 
:*''End Value'' must be greater than or equal to ''Start Value'' and both must be finite.
:*''x'' is not allowed as a parameter variable.</div>}}
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:*''x'', ''y'' and ''z'' are not allowed as parameter variables.
{{note|See [[Curves]] for details, also see the [[Derivative_Command| Derivative Command]] and the [[ParametricDerivative_Command|Parametric Derivative Command]].}}
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:*See [[Curves]] for details, also see the [[Derivative_Command| Derivative Command]] and the [[ParametricDerivative_Command|Parametric Derivative Command]].</div>}}
 
 
{{betamanual|version=5.0|
 
;Curve[ <Expression> , <Expression> , <Expression> , <Parameter Variable> , <Start Value> , <End Value>  ]
 
: Yields the 3D Cartesian parametric curve for the given ''x''-expression (first <Expression>), ''y''-expression (second <Expression) and ''z''-expression (thrid <Expression>) (using parameter variable) within the given interval [''Start Value'', ''End Value''].
 
:{{Example|1=<code><nowiki>Curve[cos(t), sin(t), t, t, 0, 10π]</nowiki></code> creates a 3D spiral.}}
 
}}
 

Latest revision as of 07:59, 9 October 2017


Curve( <Expression>, <Expression>, <Parameter Variable>, <Start Value>, <End Value> )
Yields the Cartesian parametric curve for the given x-expression (first <Expression>) and y-expression (second <Expression>) (using parameter variable) within the given interval [Start Value, End Value].
Example: Curve(2 cos(t), 2 sin(t), t, 0, 2π) creates a circle with radius 2 around the origin of the coordinate system.


Curve( <Expression> , <Expression> , <Expression> , <Parameter Variable> , <Start Value> , <End Value> )
Yields the 3D Cartesian parametric curve for the given x-expression (first <Expression>), y-expression (second <Expression>) and z-expression (third <Expression>) (using parameter variable) within the given interval [Start Value, End Value].
Example: Curve(cos(t), sin(t), t, t, 0, 10π) creates a 3D spiral.


Notes:
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