Meridians and Circles of Latitude of a surface of revolution

[lus1450]

Homework Statement

Find the meridians and circles of latitude of a surface of revolution $X(t, \theta) = (r(t)cos(\theta), r(t)sin(\theta), z(t))$.

Homework Equations

The Attempt at a Solution

I honestly just need a definition of what these concepts are. My book, as an aside for this specific homework problem, just says they are the $t$-curves and $\theta$-curves respectively. Does this mean I fix $\theta$ and see what the image of $X$ is, and then vice-versa for $t$?

 

[LCKurtz]

Homework Statement

Find the meridians and circles of latitude of a surface of revolution $X(t, \theta) = (r(t)cos(\theta), r(t)sin(\theta), z(t))$.

Homework Equations

The Attempt at a Solution

I honestly just need a definition of what these concepts are. My book, as an aside for this specific homework problem, just says they are the $t$-curves and $\theta$-curves respectively. Does this mean I fix $\theta$ and see what the image of $X$ is, and then vice-versa for $t$?

Yes. Some texts call them parameter curves.