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## Main Question or Discussion Point

What are you trying to do when you find parametric equations for a geodesic lines on a surface?

Take the metric ds^2 = dq^2 + (sinh(q)*dp)^2

Are you simply trying to get q as a function of s? and p as a function of s?

If so, why?

Thanks

Take the metric ds^2 = dq^2 + (sinh(q)*dp)^2

Are you simply trying to get q as a function of s? and p as a function of s?

If so, why?

Thanks