Inequalities For Distances Between Triangle Centers
History and Overview
2023-09-26 v1 Metric Geometry
Abstract
In his seminal paper on triangle centers, Clark Kimberling made a number of conjectures concerning the distances between triangle centers. For example, if denotes the distance between triangle centers and , Kimberling conjectured that for all triangles. We use symbolic mathematics techniques to prove these conjectures. In addition, we prove stronger results, using best-possible constants, such as .
Keywords
Cite
@article{arxiv.2309.13727,
title = {Inequalities For Distances Between Triangle Centers},
author = {Stanley Rabinowitz},
journal= {arXiv preprint arXiv:2309.13727},
year = {2023}
}