On the mean length of the diagonals of an \(n\)-gon (Q372504)
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scientific article; zbMATH DE number 6213892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the mean length of the diagonals of an \(n\)-gon |
scientific article; zbMATH DE number 6213892 |
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On the mean length of the diagonals of an \(n\)-gon (English)
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8 October 2013
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In 1965, the author of the paper determined when the average of the diagonals of an \(n\)-gon with given perimeter is maximal and when the average of the diagonals of a \textit{convex} \(n\)-gon with given perimeter is minimal. The paper reviews the solution and poses some open problems.
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\(n\)-gon
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diagonal
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