Recent content by Holty

I just noticed a typo, it should be ##1+\zeta^2+\eta^2=\frac{x^2+y^2}{(z-1)^2}+1=\frac{-2}{z-1}##. This does not affect the question.

Homework Statement [/B] Consider ##\mathbb{R}^3## in standard Cartesian co-ordinates, and the surface ##S^2## embedded within it defined by ##(x^2+y^2+z^2)|_{S^2}=1##. A particular set of co-ords on ##S^2## are defined by ##\zeta = \frac{x}{z-1}##, ##\eta = \frac{y}{z-1}##. Express...