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Re: Lines in the plane
Posted:
Apr 27, 2001 7:05 AM


>Suppose that exactly k of the points lie on the same line >for some k ( 2 <= k < n ). Then each of the remaining >n  k points can be paired with each of these points leading >to (n  k)*k distinct lines. Along with the first line this leads >to 1 + (nk)*k lines which is >= n for n >= 3.
You are assuming that each line between one remaining point and one of the k points contains only these 2 points, this is not true in general of course.
Ahmed



