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A1B1C1D1 is inscribed in a circle centered at N (4)

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October 28, 2010
geometrycircumcirclecyclic quadrilateralgeometry proposed

Problem Statement

The diagonals of a cyclic quadrilateral ABCDABCD meet in a point N.N. The circumcircles of triangles ANBANB and CNDCND intersect the sidelines BCBC and ADAD for the second time in points A1,B1,C1,D1.A_1,B_1,C_1,D_1. Prove that the quadrilateral A1B1C1D1A_1B_1C_1D_1 is inscribed in a circle centered at N.N.
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