Difference between revisions of "Curve Command"

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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 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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: 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|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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:{{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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<br>
See [[Curves]] for details.
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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>
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:*''End Value'' must be greater than or equal to ''Start Value'' and both must be finite.
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:*''x'', ''y'' and ''z'' are not allowed as parameter variables.
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:*See [[Curves]] for details, also see the [[Derivative_Command| Derivative Command]] and the [[ParametricDerivative_Command|Parametric Derivative Command]].</div>}}

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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