
#1
Nov610, 01:55 AM

P: 287

I'm having problems understanding surface parametrization from differential geometry.
We are given two general forms for parametrization: [tex]\alpha[/tex](u,v) = (u,v,0) and x(u,v)=(u,v,f(u,v)) This is one I'm especially stuck on: y=Cosh(x) about the xaxis [tex]\alpha[/tex](u,v)=(u, Cosh[v],0) x(u,v) = (u, Cosh[v]cos(u), Cosh[v]sin(u)) I think that's right. 



#2
Nov610, 04:29 AM

P: 1,412

I do not understand the notation in these "general forms". Which textbook are you using?




#3
Nov610, 05:00 AM

Sci Advisor
HW Helper
Thanks
P: 26,167

hi chaotixmonjuish!
(have an alpha: α and a theta: θ ) if so, if one of your parameters (u) is equal to x, then the other sensible paramter to choose would be θ, an angle round the xaxis … (so you'll get a nice "squareish" (x,θ) grid on the surface) anyway, your y will always be cosh(u), won't it, not cosh of some other parameter v ? 


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