Geometry: Excenter, Excircle
An excircle of the
triangle is a circle lying outside the triangle, tangent to
one of its sides and tangent to the extensions of the other
two. The center of an excircle is the
intersection of the internal bisector of one angle and the
external bisectors of the other two. The center of an excircle is called
the excenter, and the radius of the circle is called the
exradius.
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