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 A beautiful one ;-)
Сообщение03.07.2011, 23:49 
Аватара пользователя
Let k is the circumference of the triangle ABC. The middle of the arc AB, not containing C is P. L and M are the middles of the sides AC and BC. The line through P and L intersects AB and k at the points X and Y. The line through P and M intersects AB and k at the points Z and T. Prove that X, Y, Z and T are concyclic.

 
 
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