Mathematica Tutorial: Visualization And Graphics - Wolfram Research

Visualization and Graphics 25
Parametric Plots
"Basic Plotting" described how to plot curves in Mathematica in which you give the y coordinate
of each point as a function of the x coordinate. You can also use Mathematica to make parametric
plots. In a parametric plot, you give both the x and y coordinates of each point as a function
of a third parameter, say t.
ParametricPlotA9 f x , f y =,9t,t min ,t max =E
make a parametric plot
ParametricPlotA99 f x , f y =,9g x ,g y =,…=,9t,t min ,t max =E
plot several parametric curves together
Functions for generating parametric plots.
In[1]:=
Here is the curve made by taking the x coordinate of each point to be Sin@tD and the y coordinate
to be Sin@2 tD.
ParametricPlot@8Sin@tD, Sin@2 tD