MTH 251 Lecture Notes - Lecture 33: Parametric Equation
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Section : Parametric equations
Suppose an ant traces out a path on a flat surface
Suppose the curve is something like:
This curve is neither a function of nor
But both and are functions of ; we can write
So, for a given we have the point
These are called parametric equations, as varies, traces out the curve.
No restriction no here.
We can eliminate the parameter :
Sometime, can be restricted: