Two circles and only a straightedge

Akopyan, Arseniy; Fedorov, Roman

doi:10.1090/proc/14240

Two circles and only a straightedge
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by Arseniy Akopyan and Roman Fedorov PDF

Proc. Amer. Math. Soc. 147 (2019), 91-102 Request permission

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.

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