On Maximal Perimeter of a Convex Pentagon with a Fixed Diameter
Matematičeskoe obrazovanie, no. 1 (2010), pp. 12-16 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that the regular pentagon has the maximal perimeter among all of the convex pentagons with a fixed diameter.
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     author = {F. L. Varpakhovskii and O. Logvinenko},
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F. L. Varpakhovskii; O. Logvinenko. On Maximal Perimeter of a Convex Pentagon with a Fixed Diameter. Matematičeskoe obrazovanie, no. 1 (2010), pp. 12-16. http://geodesic.mathdoc.fr/item/MO_2010_1_a2/