There are some interesting properties of two triangle centers.

Let P1, P2 are the Brocard points of triangle ABC, C0 is the common point of

AP1 and BP2, such that AC0=BC0, C1 is the reflection of C0 in AB, C2 is the

common point of perpendiculars to AC0 from A and BC0 from B, A1, A2, B1, B2

are defined similarly. Then the lines AA1, BB1, CC1 concur in X(262) and

AA2, BB2, CC2 in X(83).

Sincerely Alexey

Antivirus scanning: Symantec Mail Security for SMTP.