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Eliminating parameters


Dear all,

Suppose that {X, Y, Z} = {f[u,v], g[u,v], h[u, v]} and that we want to 
eliminate u, v and get an equation in X, Y, Z.

Then we can try

Eliminate[{X-f[u,v], Y-g[u,v], Z-h[u,v]},{u, v}]

This time f, g, w contain square roots and I think that this is the 
reason by which Eliminate seems don't work (after 15 minutes I aborted 
the calculation)

Is there any enhancement or substitute for Eliminate in this case?

Thank you

-- 
----
Francisco Javier García Capitán
http://garciacapitan.auna.com


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