Two circles and only a straightedge
Metric Geometry
2018-10-30 v2 History and Overview
Abstract
We answer a question of David Hilbert: given two circles it is not possible in general to construct their centers using only a straightedge. On the other hand, we give infinitely many families of pairs of circles for which such construction is possible.
Cite
@article{arxiv.1709.02562,
title = {Two circles and only a straightedge},
author = {Arseniy Akopyan and Roman Fedorov},
journal= {arXiv preprint arXiv:1709.02562},
year = {2018}
}
Comments
11 pages, 6 figures