Hi!
I'm sorry for my bad english, but I'm italian... So...
Let ABC be a triangle. Let D be a point on AC and E be a point on AB so that BC=CD=BE.
Prove that the line through D and E is perpendicular to the line through I and O,
where I and O are the incenter and circumcenter of the triangle.
If you don't understand something please ask me.
Thank you.
Bye