On Thu, Feb 13, 2020 at 3:16 PM Jean-François Ingenbleek
wrote:
>
> var("u,v,l",domain=RR)
> sigma = vector([u*cos(v),u*sin(v),l*u])
> Dsigma = matrix([[diff(s,u) for s in sigma],[diff(s,v) for s in
> sigma]]).transpose()
> print(Dsigma)
> EFG = (Dsigma.transpose())*Dsigma
> EFG.simplify_trig()
var("u,v,l",domain=RR)
sigma = vector([u*cos(v),u*sin(v),l*u])
Dsigma = matrix([[diff(s,u) for s in sigma],[diff(s,v) for s in
sigma]]).transpose()
print(Dsigma)
EFG = (Dsigma.transpose())*Dsigma
EFG.simplify_trig()
print(EFG)
gives
[ cos(v) -u*sin(v)]
[ sin(v) u*cos(v)]
[l
