Definition:Generating Curve of Surface of Revolution

Definition
Let $H = \set {\tuple {x, y} : y \in \R_{> 0}} \subset \R^2$ be the open upper half-plane.

Let $F \subset H$ be a $1$-dimensional embedded submanifold.

Let $S_F$ be a surface of revolution.

Then $F$ is called the generating curve of $S_F$.