Every regular polygon is circumscribed by a circle

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Every triangle is circumscribed by a circle. Every square is circumscribed by a circle. I am looking for a textbook in plane geometry that verifies that every regular polygon is circumscribed by a circle.

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All triangles which made of intersections by bisectors of each angle on regular polygon are congruent with equality of one side and both angles. So, all bisectors intersect at one point. The perpendicular's lengths for each side from the point are equal. Therefore that point is circumcenter.