Re: [math-fun] Simple Question I think

David Wilson asks: << Is every rational point on the plane equidistant from two integer points?

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Here's a question in this vein that I think is unsolved: In the plane, given a unit square, is there any point whose distance to each corner is rational? Dan -- NOTE: Please direct any responses to <asimov@msri.org>, since I may not keep this AOL e-address much longer -- thanks.