Hi, I would like to parametrize the intersection between the unit sphere ( $\displaystyle x^2 + y^2 + z^2 =1 $ ) and the plane $\displaystyle x+y+z =0 $*

I came with

$\displaystyle *x(t) = \frac{cos(t)}{\sqrt{2}} $

$\displaystyle y(t) = \frac{sin(t)}{\sqrt{2}} $

$\displaystyle z(t) = -\frac{(cos(t)+sin(t)}{\sqrt{2}} $

It almost works, but it seem there are scale problems and I can't solve it.

Thanks for your help!