From two simple problems to the connection of special points

Thinh Nguyen

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arXiv · 2404.11625

From two simple problems to the connection of special points

Thinh Nguyen

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Abstract

Both the USA TST 2008 and the ELMO Shortlist 2013 suggested two issues that are connected to fixed points. These problems provide a strong linkage between the various attributes of specific points in a triangle. In this article, we will first investigate various theorems concerning the fixed points that have been presented, and then we will demonstrate how those points are connected to a few triangle centers.

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Thinh Nguyen. 2024-04-13. From two simple problems to the connection of special points. https://arxiv.org/abs/2404.11625

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