English

From two simple problems to the connection of special points

General Mathematics 2024-04-19 v1

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.

Keywords

Cite

@article{arxiv.2404.11625,
  title  = {From two simple problems to the connection of special points},
  author = {Thinh Nguyen},
  journal= {arXiv preprint arXiv:2404.11625},
  year   = {2024}
}
R2 v1 2026-06-28T15:57:41.885Z