= Butterfly theorem
{wiki=Butterfly_theorem}
The Butterfly Theorem is a classic result in geometry, specifically related to circles and triangles. It states that if you have a circle and a triangle inscribed in that circle, the midpoint of one side of the triangle can be connected to the points where the extensions of the other two sides of the triangle intersect the circle. More formally, consider a triangle \\(ABC\\) inscribed in a circle \\(O\\). Let \\(D\\) be the midpoint of side \\(BC\\).
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