The Descartes circles theorem and division by zero calculus
History and Overview
2017-12-08 v2
Abstract
From the viewpoint of the division by zero and the division by zero calculus, we will show that in the very beautiful theorem by Descartes on three touching circles is valid for lines and points for circles except for one case. However, for the exceptional case, we can obtain interesting results from the division by zero calculus.
Cite
@article{arxiv.1711.04961,
title = {The Descartes circles theorem and division by zero calculus},
author = {Hiroshi Okumura and Saburou Saitoh},
journal= {arXiv preprint arXiv:1711.04961},
year = {2017}
}