8.2 Parametric Plots
Section 8.1 described how to plot curves in Mathematica TE in which you give the 
coordinate of each point as a function of the 
coordinate. You can also use Mathematica TE to make parametric plots. In a parametric plot, you give both the 
and 
coordinates of each point as a function of a third parameter, say 
.
Functions for generating parametric plots.
Here is the curve made by taking the 
coordinate of each point to be Sin[t] and the 
coordinate to be Sin[2t].
In[1]:= ParametricPlot[{Sin[t], Sin[2t]}, {t, 0, 2Pi}]
Out[1]= 
The "shape" of the curve produced depends on the ratio of height to width for the whole plot.
In[2]:= ParametricPlot[{Sin[t], Cos[t]}, {t, 0, 2Pi}]
Out[2]= 
Setting the option AspectRatio to Automatic makes Mathematica TE preserve the "true shape" of the curve, as defined by the actual coordinate values it involves.
In[3]:= Show[%, AspectRatio -> Automatic]
Out[3]= 
