On the products of cross-ratios on diagonals of polygons |
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Authors: | Zaks Joseph |
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Institution: | (1) University of Haïfa, 31905 Haïfa, Israel |
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Abstract: | The purpose of this paper is to establish a conjecture of B. Grünbaum, which states that in every n-polygon P in the plane, n 5, some diagonals intersect in a pattern that defines a new n-polygon (P), such that the product of the cross-rations on the diagonals of P is equal to the product of the corresponding cross-ratios on the diagonals of (P). |
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Keywords: | 51A05 51M15 51N15 |
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