一葉双曲面とその線織面
\( \boldsymbol{x}(u_{1}, v_{1}) = \begin{pmatrix} a \cosh u_{1} \hskip 0.1em \cos v_{1} \\ b \cosh u_{1} \hskip 0.1em \sin v_{1} \\ c \sinh u_{1} \end{pmatrix} \)
\( \left( - \dfrac{2 \pi}{3} \leq u_{1} \leq \dfrac{2 \pi}{3}, \, 0 \leq v_{1} \leq 2 \pi \right) \),
\( \boldsymbol{x}(u_{2}, v_{2}) = \sinh u_{2} \hskip 0.1em \begin{pmatrix} - a \sin v_{2} \\ b \cos v_{2} \\ c \end{pmatrix} + \begin{pmatrix} a \cos v_{2} \\ b \sin v_{2} \\ 0 \end{pmatrix} \)
\( \left( - \dfrac{2 \pi}{3} \leq u_{2} \leq \dfrac{2 \pi}{3}, \, 0 \leq v_{2} \leq 2 \pi \right) \)
\( a = \) ,
\( b = \) ,
\( c = \)
\( (0.1 \leq a, b, c \leq 10) \)