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Sylvester's problem of collinear points




A problem posed in 1893 by James Sylvester who wrote: "Prove that it is not possible to arrange any finite number of real points so that a right line through every two of them shall pass through a third, unless they all lie in the same right line." No correct proof was forthcoming at the time, but the problem was revived by Paul Erdös in 943 and correctly solved by T. Grünwald in 1944.


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   • GEOMETRY