Difference between revisions of "Curve Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|function}}
 
{{command|function}}
;Curve[ <Expression a>, <Expression b>, <Parameter Variable>, <Start Value>, <End Value> ]
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;Curve[ <Expression>, <Expression>, <Parameter Variable>, <Start Value>, <End Value> ]
: Yields the Cartesian [[Curves#Parametric curves|parametric curve]] for the given ''x''-expression ''a'' and ''y''-expression ''b'' (using parameter variable) within the given interval [''Start Value'', ''End Value''].
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: 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.}}
 
:{{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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{{betamanual|version=5.0|
 
{{betamanual|version=5.0|
;Curve[ <Expression a> , <Expression b> , <Expression c> , <Parameter Variable> , <Start Value> , <End Value>  ]
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;Curve[ <Expression> , <Expression> , <Expression> , <Parameter Variable> , <Start Value> , <End Value>  ]
: Yields the 3D Cartesian parametric curve for the given ''x''-expression ''a'', ''y''-expression ''b'' and ''z''-expression ''c'' (using parameter variable) within the given interval [''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 (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.}}
 
:{{Example|1=<code><nowiki>Curve[cos(t), sin(t), t, t, 0, 10π]</nowiki></code> creates a 3D spiral.}}
 
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Revision as of 11:13, 8 July 2013



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.
Note:
  • End Value must be greater than or equal to Start Value and both must be finite.
  • x is not allowed as a parameter variable.
Note: See Curves for details, also see the Derivative Command and the Parametric Derivative Command.
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