Proof of Descartes circle formula and its generalization clarified
Metric Geometry
2019-10-22 v1 History and Overview
Abstract
In his talk "Integral Apollonian disk Packings" Peter Sarnak asked if there is a "proof from the Book" of the Descartes theorem on circles. A candidate for such a proof is presented in this note
Cite
@article{arxiv.1910.09174,
title = {Proof of Descartes circle formula and its generalization clarified},
author = {Jerzy Kocik},
journal= {arXiv preprint arXiv:1910.09174},
year = {2019}
}
Comments
3 pages, 1 figure. This is a succinct and clarified version of the proof presented in arXiv:0706.0372