# Parametric equations

From AMS Glossary

## parametric equations

A set of equations in which the independent variables or coordinates are each expressed in terms of a parameter.

For example, instead of investigating

*y*=*f*(*x*), or*F*(*x*,*y*) = 0, it is often advantageous to express both*x*and*y*in terms of a parameter*u*:*x*=*g*(*u*);*y*=*G*(*u*). The parameter may or may not have a useful geometric or physical interpretation.