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TOT 1998 Autumn AJ4 no 9 diagonals of a regular 25 -gon are concurent

Source:

May 11, 2020

combinatorial geometrycombinatoricsdiagonalsconcurrent

Problem Statement

All the diagonals of a regular

25

-gon are drawn. Prove that no

9

of the diagonals pass through one interior point of the

25

-gon.
(A Shapovalov)