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Geometry |
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Authors: Juan Moreno Borrallo
In this paper it is solved the case n = 5 of the problem 1.345 of the Crux Mathematicorum journal, proposed by Paul Erdös and Esther Szekeres in1988. The problem was solved for n ≥ 6 by János Pach and the solution published by the Crux Mathematicorum journal, leaving the case n = 5open to the reader. In september 2021, user23571113 posed this problem at the post https://math.stackexchange.com/questions/4243661/prove-thatfor-one-vertex-of-a-convex-pentagon-the-sum-of-distances-to-the-othe/4519514#4519514,and it has finally been solved.
Comments: 4 Pages.
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[v1] 2023-07-11 00:20:28
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