\( \boldsymbol{x}(u, v) = u \hskip 0.1em \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} + \begin{pmatrix} \cos v \\ \sin v \\ 0 \end{pmatrix} \)

\( \left( - \dfrac{\pi}{2} \leq u \leq \dfrac{\pi}{2}, \, 0 \leq v \leq 2 \pi \right) \)