# find vertices of triangle from moment w.r.t. sequence

Let's say we are given complex numbers $z_1,z_2,z_3$ in which they are vertices of a triangle. How do we relate moment with respect to a sequence to the vertices ?

In other words, how do we use moment to find the vertices ?

What I know is that moment with respect to a sequence is $\mu_n=\int_\triangle{z^n}dxdy,\;$ where $\;z=x+iy$.

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