Definition:Complex Curvilinear Coordinates/Coordinate Curves

Definition
Let $u + i v = \map f {x + i y}$ be a complex transformation.

Let $c_1$ and $c_2$ be constants.

The curves:
 * $\map u {x, y} = c_1$
 * $\map v {x, y} = c_2$

are the coordinate curves of $f$.