- Inside [tex]x^2+y^2=16[/tex]:
Set
[tex]\begin{cases}x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=5-x(u,v)-y(u,v)=5-u(\cos v+\sin v)\end{cases}[/tex]
with [tex]0\le u\le4[/tex] and [tex]0\le v\le2\pi[/tex].
- Inside [tex]y^2+z^2=16[/tex]:
Same as above, but swap [tex]z(u,v)[/tex] with [tex]x(u,v)[/tex], so that
[tex]\begin{cases}x(u,v)=5-u(\cos v+\sin v)\\y(u,v)=u\sin v\\z(u,v)=u\cos v\end{cases}[/tex]
again with [tex]0\le u\le4[/tex] and [tex]0\le v\le2\pi[/tex].
