Difference between revisions of "Curve Command"

Latest revision as of 08:59, 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:

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.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}}
+;Curve( <Expression>, <Expression>, <Parameter Variable>, <Start Value>, <End Value> )
-; Curve[Expression e1, Expression e2, Parameter t, Number a, Number b]: Yields the Cartesian parametric curve for the given ''x''-expression ''e1'' and ''y''-expression ''e2'' (using parameter ''t'') within the given interval [''a'', ''b''].
+: 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 <tt>c = Curve[2 cos(t), 2 sin(t), t, 0, 2 pi]</tt> 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.}}
+<br>
-<div class="note">'''Note:'''
+;Curve( <Expression> , <Expression> , <Expression> , <Parameter Variable> , <Start Value> , <End Value>  )
-* Parametric curves can be used with pre-defined functions and arithmetic operations.  For example, input <tt>c(3)</tt> returns the point at parameter position 3 on curve ''c''.
+: 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''].
-* Note: Using the mouse you can also place a point on a curve using tool [[New Point Tool|New Point]] or command [[Point Command|Point]]. Since the endpoints ''a'' and ''b'' are dynamic you can use slider variables as well (see tool [[Slider Tool|Slider]]).
+:{{Example|1=<code><nowiki>Curve(cos(t), sin(t), t, t, 0, 10π)</nowiki></code> creates a 3D spiral.}}
+<br>
+:{{notes|1=<div>
+:*''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| Derivative Command]] and the [[ParametricDerivative_Command|Parametric Derivative Command]].</div>}}

Difference between revisions of "Curve Command"

Latest revision as of 08:59, 9 October 2017

Curve

Command Categories (All commands)