2000 character limit reached
On Euler's inequality and automated reasoning with dynamic geometry (1708.02993v3)
Published 31 Jul 2017 in cs.SC and math.HO
Abstract: Euler's inequality $R\geq 2r$ 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.