Definition:Meridian of Surface of Revolution

Definition
Let $S_C$ be a surface of revolution.

Let its smooth local parametrization be of the form:


 * $\map X {t, \theta} = \tuple {\map y t \cos \theta, \map y t \sin \theta, \map x t}$

Then the $t$-coordinate curves $t \mapsto \map X {t, \theta_0}$ are called the meridians.

Also see

 * Definition:Meridian