How to parametrize counterclockwise a triangle?

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Given three distincts complex numbers $a,b,c$, how to parametrize counterclockwise the boundary of the triangle with vertices $a,b$ and $c$ ? Thanks in advance for help :)

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Hint: The segment from $a$ to $b$ is parametrized by $(1-t)a+tb$ with $0\le t\le 1$.