Abstract
Around 1994, Erdoset al. abstracted from their work the following problem: “Given ten pointsA ij, 1≤i≤j≤5, on a plane and no three of them being collinear, if there are five pointsA k, 1≤k≤5, on the plane, including points at infinity, with at least two points distinct, such thatA i, Aj, Aij are collinear, where 1≤i≤j≤5, is it true that there are only finitely many suchA k's?” Erdoset al. obtained the result that generally there are at most 49 groups of suchA k's. In this paper, using Clifford algebra and Wu's method, we obtain the results that generally there are at most 6 such groups ofA k's.
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