A Computer Verification of a Conjecture About Erd\"os-Mordell Curve

Abstract

In this paper we consider Erd\"os-Mordell inequality and its extension in the plane of triangle to the Erd\"os-Mordell curve. Algebraic equation of this curve is derived, and using modern computer tools in mathematics, we verified one conjecture that relates to Erd\"os-Mordell curve.

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