Terminology: bounded curve

Question

Is it the convention to say that a curve $\gamma$ is bounded if it's entirely contained in a bounded set in, say $\mathbb{R}^{2}$?

Edit: If we forget about the strict convention of terminology, would you understand what I meant buy a bounded curve?

Answer 1

If I read about a bounded curve then yes, I'd assume it is entirely contained in a bounded set.