Prove that $e^ {ipi} = -1$ – Mathematics Stack Exchange

June 23, 2026

The $pi$ itself is defined as the total angle which connects $1$ to $-1$ along the arch. Summarizing, we can say that because the circle can be defined through the action of the group of shifts which preserve the distance between a point and another point, the relation between π and e arises.

https://math.stackexchange.com/questions/341214/prove-that-ei-pi-1

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