Definition:Cartesian Equation

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A Cartesian equation is an equation defining the locus of a set of points in a Cartesian space.

Such an equation is generally presented in terms of the variables:

$x$ and $y$ for a $2$-dimensional space
$x$, $y$ and $z$ for a $3$-dimensional space
$x_1, x_2, \ldots, x_n$ for a general $n$-dimensional space

Also see