Leysa x^2+y^2+z^2=1

$$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1$$

Leystu fyrir x (complex solution)

$$x=-\sqrt{1-z^{2}-y^{2}}$$

$$x=\sqrt{1-z^{2}-y^{2}}$$

Leystu fyrir y (complex solution)

$$y=-\sqrt{1-z^{2}-x^{2}}$$

$$y=\sqrt{1-z^{2}-x^{2}}$$

Leystu fyrir x

$$x=\sqrt{1-z^{2}-y^{2}}$$

$$x=-\sqrt{1-z^{2}-y^{2}}\text{, }|y|\leq \sqrt{1-z^{2}}\text{ and }|z|\leq 1$$

Leystu fyrir y

$$y=\sqrt{1-z^{2}-x^{2}}$$

$$y=-\sqrt{1-z^{2}-x^{2}}\text{, }|x|\leq \sqrt{1-z^{2}}\text{ and }|z|\leq 1$$