## geodesic

we have ds^2=dx^2+dy^2+dz^2
I am considering usual parameterization of spherical surface in terms of u,v.

x=asinvcosu, y=asinvsinu, z=acosv

we have u= $-sin^-1(cot(v)/((a/c)^2-1)^{0.5})+D$

Show that this solution can be written in the form
A1x + A2y + A3z = 0,

and find the constants A1, A2 and A3.

Thanks