Circumcenter

Part of speech: noun

Definitions

1. A point equidistant from the vertices of a triangle, which serves as the center of the circumcircle and can represent the intersection of the perpendicular bisectors of the sides
2. This specific location is defined as the intersection of the perpendicular bisectors of a triangle's sides, equidistant from all three vertices
3. The unique point which is the same distance away from all triangle vertices and coincides with the circumcircle's center obtained through perpendicular bisector intersections

Etymology: Circumcenter is a plain technical compound, built in English from the Latin prefix "circum-" meaning "around" and "center." The "center" half traces back through Latin "centrum" to Ancient Greek "kéntron," a word for a sharp point, such as a goad or the point of a compass that pins a circle in place. That is why the central point of a circle is named for a spike: the compass point stays fixed while the other arm sweeps around it. The "circum-" half shares the same idea of going around. It comes from Latin "circum," a preposition meaning "around," which is also the root of "circle" and "circus." The circumcenter is the point around which a circle can be drawn to pass through all three corners of a triangle, so the name describes exactly what the point does: it is the center of the circle that encloses the triangle.

Synonyms: center, midpoint