Bisecting a triangle in a given direction
History and Overview
2021-01-20 v1
Abstract
Given a triangle, what is the equation of the line which bisects its area and has a given slope? The set of all lines bisecting the area of a triangle has been elegantly determined as a certain 'deltoid' envelope and this gives an indirect method of solution. We find that vector algebra allows the equation to be written down rather directly and neatly.
Keywords
Cite
@article{arxiv.2101.07657,
title = {Bisecting a triangle in a given direction},
author = {Robin Whitty},
journal= {arXiv preprint arXiv:2101.07657},
year = {2021}
}
Comments
5 pages, 2 figures