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Let z1a n dz2 be two distinct complex nu...

Let `z_1a n dz_2` be two distinct complex numbers and let `z=(1-t)z_1+t z_2` for some real number `t` with `0 < t < 1.` If `"a r g"(w)` denotes the principal argument of a nonzero complex number `w` , then
`|z-z_1|+|z-z_2|=|z_1-z_2|` `(z-z_1)=(z-z_2)`
`|z-z_1 z -( z )_1z_2-z_1( z )_2-( z )_1|=0`
`a r g(z-z_1)=a r g(z_2-z_1)`

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