Cauchy's theorem (geometry)
= Cauchy's theorem (geometry)
{wiki=Cauchy's_theorem_(geometry)}
Cauchy's theorem in geometry is a result concerning the properties of polygons, specifically convex polygons. The most well-known version pertains to the following statement: If two simple (non-intersecting) polygons are such that one can be continuously transformed into the other without self-intersection (while preserving the vertices and edges), then the two polygons have the same area.