Some properties of rectangle and a random point

2021/06/21 by Tran, Quang Hung
#51M04 #FOS: Mathematics #History and Overview (math.HO) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2106.10810

Abstract

We establish a relationship between the two important central lines of the triangle, the Euler line and the Brocard axis, in a configuration with an arbitrary rectangle and a random point. The classical Cartesian coordinate system method shows its strength in these theorems. Along with that, some related problems on rectangles and a random point are proposed with similar solutions using Cartesian coordinate system.

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