English

Some properties of rectangle and a random point

History and Overview 2021-06-22 v1 Metric Geometry

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.

Keywords

Cite

@article{arxiv.2106.10810,
  title  = {Some properties of rectangle and a random point},
  author = {Quang Hung Tran},
  journal= {arXiv preprint arXiv:2106.10810},
  year   = {2021}
}

Comments

14 pages, 10 figures

R2 v1 2026-06-24T03:24:28.034Z