Difference between revisions of "Curve Command"

Revision as of 17:16, 7 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:

End Value must be greater than or equal to Start Value and both must be finite.
x, y and z are not allowed as parameter variables.
See Curves for details, also see the Derivative Command and the Parametric Derivative Command.

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 <noinclude>{{Manual Page|version=5.0}}</noinclude>{{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''].
 :{{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.}}
 <br>
-;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''].
 :{{Example|1=<code><nowiki>Curve[cos(t), sin(t), t, t, 0, 10π]</nowiki></code> creates a 3D spiral.}}