Revisiting the quadrisection problem of Jacob Bernoulli
History and Overview
2016-11-22 v1
Abstract
Two perpendicular segments which divide a given triangle into 4 regions of equal area is called a quadrisection of the triangle. Leonhard Euler proved in 1779 that every scalene triangle has a quadrisection with its triangular part on the middle leg. We provide a complete description of the quadrisections of a triangle. For example, there is only one isosceles triangle which has exactly two quadrisections.
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Cite
@article{arxiv.1611.06658,
title = {Revisiting the quadrisection problem of Jacob Bernoulli},
author = {Carl Eberhart},
journal= {arXiv preprint arXiv:1611.06658},
year = {2016}
}