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Show that the triangle whose vertices ar...

Show that the triangle whose vertices are `z_1,z_2,z_3 and barz_1, barz_2 and barz_3 and z_1\',z_2\',z_3\' ` are similar if `|(z_1,z_1\',1),(z_2,z_2\', 1),(z_3, z_3\' 1)|=0` or ` z_1(z_2\'-z_3\')+z_2(z_3\'-z_1\')+(z_1\'-z_2\')=0`

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