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Lagrange multipliers for finding geodesics on a sphere
The problem statement, all variables and given/known data
Find the geodesics on a sphere $g(x,y,z)=x^{2}+y^{2}+z^{2}−1=0$
arc-length element $ds=\sqrt{dx^{2}+dy^{2}+dz^{2}}$
Relevant equations
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