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If z1,z2,z3 be the vertices of an equila...

If `z_1,z_2,z_3 `be the vertices of an equilateral triangle, show that `1/(z_1-z_2)+1/(z_2-z_3)+1/(z_3-z_1)= 0 or z_1^2+z_2^2+z_3^2= z_1z_2+z_2z_3+z_3z_1`.

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