Difference between revisions of "Curve Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}}
{{command|function}}
 
 
;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''].
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:*''x'' is not allowed as a parameter variable.</div>}}
 
:*''x'' is not allowed as a parameter variable.</div>}}
 
{{note|See [[Curves]] for details, also see the [[Derivative_Command| Derivative Command]] and the [[ParametricDerivative_Command|Parametric Derivative Command]].}}
 
{{note|See [[Curves]] for details, also see the [[Derivative_Command| Derivative Command]] and the [[ParametricDerivative_Command|Parametric Derivative Command]].}}
 
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;Curve[ <Expression> , <Expression> , <Expression> , <Parameter Variable> , <Start Value> , <End Value>  ]
 
;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''].
 
: 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|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.}}

Revision as of 15:42, 9 September 2015


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.


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.
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