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 May 16 awarded Popular Question May 3 awarded Supporter Jan 29 awarded Autobiographer Apr 19 awarded Scholar Apr 19 accepted Do infinitely many points in a plane with integer distances lie on a line? Apr 19 awarded Nice Question Apr 19 comment Do infinitely many points in a plane with integer distances lie on a line? But since we're given an infinite number of points, how can we restrict the circle to have a radius of r? Couldn't I say that if you place more than n points on a straight line of length 'n' (where n is an integer), the distance between two consecutive points is not an integer? Apr 19 awarded Student Apr 19 comment Do infinitely many points in a plane with integer distances lie on a line? I haven't got down to paper and pen with this, but would it not be possible to place points in a circle with integer distances between any two points? Apr 19 asked Do infinitely many points in a plane with integer distances lie on a line?