About this document
Elementary Proof of Isoperimetric Inequality by Alex Yu is a document available to read on EtoBox.
1) The document presents an elementary proof of the isoperimetric inequality for polygons, which states that for any polygon with perimeter L and area A, L^2 ≥ 4πA. 2) The proof simplifies an earlier proof given by T. Bonnesen. 3) It proves the inequality for a convex polygon by constructing circles and parallelograms around the polygon and showing that the area of the polygon must be less than or equal to half the area of the enclosing circle.
- Author
- Alex Yu
- Language
- EN