English

On Euler's inequality and automated reasoning with dynamic geometry

Symbolic Computation 2020-04-07 v3 History and Overview

Abstract

Euler's inequality R2rR\geq 2r can be investigated in a novel way by using implicit loci in GeoGebra. Some unavoidable side effects of the implicit locus computation introduce unexpected algebraic curves. By using a mixture of symbolic and numerical methods a possible approach is sketched up to investigate the situation. By exploiting fast GPU computations, a web application written in CindyJS helps in understanding the situation even better.

Keywords

Cite

@article{arxiv.1708.02993,
  title  = {On Euler's inequality and automated reasoning with dynamic geometry},
  author = {Zoltán Kovács and Róbert Vajda and Aaron Montag},
  journal= {arXiv preprint arXiv:1708.02993},
  year   = {2020}
}

Comments

14 pages, 9 figures

R2 v1 2026-06-22T21:10:53.778Z