- #1

Rick16

- 81

- 25

- TL;DR Summary
- given are x(u, v, w), y(u, v, w), z(u, v, w), and I want to find u(x, y, z), v(x, y, z), w(x, y, z)

Is there a systematic way to do it? In particular, I have the coordinates ##x=au \sin v \cos w##, ##y=bu\sin v\sin w##, ##z=cu\cos v##, where a, b, c are constants, and I want to find ##u(x,y,z)##, ##v(x,y,z)##, ##w(x,y,z)##. I could solve the three equations for u, v, and w and then try to insert the resulting equations into each other, and with a lot of fumbling around I may get the solutions that I want. But this does not seem to be the most rational approach.