File:Radon coefficients.svg

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for two sets of four points in the plane: the vertices of a square, and an equilateral triangle with its centroid. Each point is labeled with a weight, used as part of a proof of the theorem. The weighted sum of the points is (0,0), and the sum of the weights is zero, from which it can be shown that

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for two sets of four points in the plane: the vertices of a square, and an equilateral triangle with its centroid. Each point is labeled with a weight, used as pa

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the convex hull of the points with positive weights intersects the convex hull of the points with negative weights.

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