MathDB
Variable Polygon

Source:

September 6, 2010
inductiongeometry unsolvedgeometry

Problem Statement

Let us consider a variable polygon with 2n2n sides (nNn \in N) in a fixed circle such that 2n12n - 1 of its sides pass through 2n12n - 1 fixed points lying on a straight line Δ\Delta. Prove that the last side also passes through a fixed point lying on Δ.\Delta .