Two circles and only a straightedge
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🧮 math.MG
math.HO
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circlesonlypossiblestraightedgeanswercentersconstructconstruction
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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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