How to find 4 geodesic on a surface $z=xy$ passing through point (1,0,0)

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Let $S: z=xy$ be a surface How can i find 4 geodesic on S passing throught a point (1,0,0) ?

I have already got $(t,0,0)$ and $(1,t,t)$ but i dont know how to find 2 other, any suggestion?