Let L, M, and N be lines through A, B, C, respectively, parallel to the Euler line. Let L' be the reflection of L in sideline B C, let M' be the reflection of M in sideline C A, and let N' be the reflection of N in sideline A B. The lines L', M', and N' then concur in a point known as the Parry reflection point, which is Kimberling center X_399 and has triangle center function α_399 = - 8sin B sin C cos^2 A + 5cos A - 4cos B cos C.

Euler line | Parry point | reflection