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Let $$z_1$$ and $$z_2$$ be two district complex numbers and let $$z = (1 - t)z_1 + tz_2$$ for some real number t with 0 < t 1. If Arg(w) denotes the principal argument of a nonzero complex number w, then
$$\mid z - z_1\mid + \mid z - z_2\mid = \mid z_1 - z_2\mid$$
$$Arg(z - z_1) = Arg(z - z_2)$$
$$Arg(z - z_1) = Arg(z_2 - z_1)$$
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