Some properties of rectangle and a random point

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.

14 pages, 10 figures

References in corpus (1)

• Two generalizations of the Butterfly Theorem