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 e1, Expression e2, Parameter t, Number a, Number b]: Yields the Cartesian [[Curves#Parametric curves|parametric curve]] for the given ''x''-expression ''e1'' and ''y''-expression ''e2'' (using parameter ''t'') within the given interval [''a'', ''b''].
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;Curve[ <Expression a>, <Expression b>, <Parameter Variable>, <Start Value>, <End Value> ]
{{Example|1=Input of <code><nowiki>c = Curve[2 cos(t), 2 sin(t), t, 0, 2 pi]</nowiki></code> creates a circle with radius 2 around the origin of the coordinate system.}}
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: 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''].
{{note|Number ''b'' must be greater than or equal to number ''a'' and both must be finite}}
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:{{Example|1=<code><nowiki>Curve[2 cos(t), 2 sin(t), t, 0, 2 pi]</nowiki></code> creates a circle with radius ''2'' around the origin of the coordinate system.}}
{{note|''x'' is not allowed as a parameter variable}}
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:{{note|1=<div>
See [[Curves]] for details, also see the [[Derivative_Command| Derivative Command]] and the [[ParametricDerivative_Command|Parametric Derivative Command]].
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:*''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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{{note|See [[Curves]] for details, also see the [[Derivative_Command| Derivative Command]] and the [[ParametricDerivative_Command|Parametric Derivative Command]].}}

Revision as of 12:10, 3 May 2013



Curve[ <Expression a>, <Expression b>, <Parameter Variable>, <Start Value>, <End Value> ]
Yields the Cartesian parametric curve for the given x-expression a and y-expression b (using parameter variable) within the given interval [Start Value, End Value].
Example: Curve[2 cos(t), 2 sin(t), t, 0, 2 pi] 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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