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crcumscribed quadrilateral

Source: Sharygin contest 2008. The correspondence round. Problem 10

September 3, 2008
geometryangle bisectorgeometry proposed

Problem Statement

(A.Zaslavsky, 9--10) Quadrilateral ABCD ABCD is circumscribed arounda circle with center I I. Prove that the projections of points B B and D D to the lines IA IA and IC IC lie on a single circle.
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