Gergonne point

English

Etymology

Named after Joseph Diaz Gergonne.

Noun

Gergonne point (plural Gergonne points)

1. (geometry) A certain triangle center. Given a triangle $\triangle ABC$ and its Gergonne triangle (with the touchpoint opposite $A$ denoted by $T_{A}$, etc.), the Gergonne point is the intersection of the three lines $AT_{A}$, $BT_{B}$, and $CT_{C}$.