Gergonne point

English

Etymology

Named after Joseph Diaz Gergonne.

Noun

1. Template:Lb A certain triangle center. Given a triangle $\mathrm{△}ABC$ and its Gergonne triangle (with the touchpoint opposite $A$ denoted by $T_A$, etc.), the Gergonne point is the intersection of the three lines $A{T}_A$, $B{T}_B$Template:, and $C{T}_C$.