excentrique

Excentrique is a French adjective meaning off-center or unconventional. It is used to describe things or people that are unusual or not in line with what is typical, often conveying a sense of eccentricity. The term can carry neutral, positive, or pejorative shades depending on context and tone.

Etymology and usage: The word derives from Latin excentricus, formed from ex- “out” and centrum “center,” signifying something not centered. In everyday language, excentrique can describe behavior, style, or ideas that depart from the norm, sometimes with a playful connotation and other times with a critical one.

In geometry: In Euclidean geometry, excenters are the centers of the excircles of a triangle. Each triangle has three excenters, corresponding to its three sides. The excenter opposite a given vertex is the intersection point of the external angle bisector of that vertex and the internal angle bisectors of the other two vertices. The resulting excenter is equidistant from the lines containing the triangle’s sides, and the associated excircle is tangent to the side opposite the vertex and to the extensions of the other two sides.

See also: eccentric.

This concise use across language and geometry reflects the core idea of excentrique: being off-center or distinctive, whether in character or in mathematical construction.