A Geometric proof for the Polygonal Isoperimetric Inequality
Résumé
Gradients of the perimeter and area of a polygon have straightforward geometric interpretations. The use of optimality conditions for constrained problems and basic ideas in triangle geometry show that polygons with prescribed area minimizing the perimeter must be regular.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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