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## Homework Statement

Let a surface be define by z = x^(a=3) = f[x^(a=1,2)]

Show that the Christoffell sybols of the 2nd kind are:

[Christoffell symbol]^a

_{bc}= { f

_{a}f

_{bc}}/ { f^[tex]\alpha[/tex] f_sub_[tex]\alpha[/tex] }

where indices on f indicates partial derivatives

## Homework Equations

(d^2 x/dt^2)^[tex]\alpha[/tex] + [Christoffell symbol]^[tex]\alpha[/tex]

_{BC}(dx/dt)^B (dx/dt)^C = 0

compare with:

Euler-Lagrangian Equation

## The Attempt at a Solution

E-L equatiion: x** - m dz*/dx* = -g dz/dx

compare with the first relevant equation...

how? what is x*^B and x*^C in the first equation

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