Ford circles, continued fractions, and best approximation of the second kind
Number Theory
2009-12-11 v1 Metric Geometry
Abstract
We give an elementary geometric proof using Ford circles that the convergents of the continued fraction expansion of a real number coincide with the rationals that are best approximations of the second kind of .
Cite
@article{arxiv.0912.1997,
title = {Ford circles, continued fractions, and best approximation of the second kind},
author = {Ian Short},
journal= {arXiv preprint arXiv:0912.1997},
year = {2009}
}
Comments
8 pages, 6 figures