MathDB
Prove that projections of vertex of pyramid are concyclic

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November 3, 2010
geometry3D geometrypyramidcircumcirclegeometry unsolved

Problem Statement

Given a pyramid whose base is an nn-gon inscribable in a circle, let HH be the projection of the top vertex of the pyramid to its base. Prove that the projections of HH to the lateral edges of the pyramid lie on a circle.