paper

Two circles and only a straightedge

arXiv:1709.02562 · doi:10.1090/proc/14240

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.

11 pages, 6 figures

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