exsacentric

Exsacentric is a term that can refer to a few different concepts, primarily in geometry and sometimes in a more abstract sense. In geometry, it is sometimes used to describe a circle that is tangent to one side of a triangle and the extensions of the other two sides. This is more commonly known as an excircle or an escribed circle. A triangle has three such circles, each associated with one of its sides. The center of an excircle is called an excenter. The radius of an excircle is known as the exradius.

The excenters of a triangle are the intersection points of one internal angle bisector and the two external angle bisectors of the other two angles. These points are significant in triangle geometry and have various properties related to the triangle's sides, angles, and area.

In a broader, less technical usage, "exsacentric" might imply something that is deviating from a center or norm, or having an unusual or eccentric quality. However, this application is not standard terminology and would likely be understood through context rather than a formal definition. The primary and most established meaning of "exsacentric" relates to the geometric concept of excircles and their associated centers within a triangle.