- Jun 7, 2004Dear colleagues!

I have a next hypothesis. Let A_1...A_n is the cyclic polygon. Then

1) The Brocard points exist iff the symmedians of triangles

A_{i-1}A_iA_{i+1} from A_i concur in point L.

2) Two Brocard points P, Q are in the circle with diameter OL and the angles

POL and QOL are equal to brocard angle.

If 1) is correct then I can prove 2)

Sincerely Alexey - << Previous post in topic Next post in topic >>