Areas associated to a quadrilateral
History and Overview
2023-11-28 v1
Abstract
We study the relationship between the areas of the consecutive quadrilaterals cut from a convex quadrilateral in the plane by means of a finite or infinite number of straight lines intersecting two of its opposite sides. Moreover, we obtain a geometric description of all possible areas obtained in this way given the ratios of the lengths of consecutive segments the lines divide these two opposite sides.
Cite
@article{arxiv.2305.13070,
title = {Areas associated to a quadrilateral},
author = {Oleg Mushkarov and Nikolai Nikolov},
journal= {arXiv preprint arXiv:2305.13070},
year = {2023}
}