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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