The intersection Fl of the Gergonne line and the Soddy line. In the above figure, D', E', and F' are the Nobbs points, I is the incenter, Ge is the Gergonne point, and S and S' are the Soddy centers. The Fletcher point has triangle center function α_1323 = sec^2(1/2 A)[2cos^2(1/2 A) - cos^2(1/2 B) - cos^2(1/2 C)] and is Kimberling center X_1323.

Euler-Gergonne-Soddy triangle | Gergonne line | Nobbs points | Soddy centers | Soddy line