Curve Command

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.