Posted: Monday, January 27, 2020

Clark Kimberling, Professor of Mathematics, has a research article in the current issue of Journal of Geometry, viewable at https://rdcu.be/b0HTu.

Entitled "Polynomial triangle centers on the line at infinity," the article presents newly discovered points in the extended plane of an abstract triangle and their relationships, using homogeneous barycentric coordinates that are polynomial functions of the variable sidelengths of the triangle. The final section of the paper, entitled "Historical comments," cites a prophetic article in the American Mathematical Monthly on "The rise, fall, and possible transfiguration of triangle geometry: a mini-history." Now, 25 years later, Dr. Kimberling's article discusses the actual transfiguration that has taken place, including the development of the UE-based Encyclopedia of Triangle Centers - ETC, https://faculty.evansville.edu/ck6/encyclopedia/ETC.html. The number of triangle centers presented in ETC has grown considerably during the past year with contributions from around the world. Last semester, the number of entries passed 36,000.

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