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Puzzled: Solutions and Sources

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Locations of the seven cities of gold, with each line representing a distance of 10 leagues; the top point is the fulcrum P.

Last month (Nov. 2011, p. 120) we posted a trio of brainteasers, including one as yet famously unsolved, concerning distances between points on the plane. Here, we offer solutions to two of them. How did you do?

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