Suppose that P is a simple polygon with vertices v1, v2,….
Chapter 5, Problem 20E(choose chapter or problem)
Suppose that P is a simple polygon with vertices v1, v2,…. vn listed so that consecutive vertices are connected by an edge, and vi and v j are connected by an edge. A vertex v, is called an ear if the line segment connecting the two vertices adjacent to v; is an interior diagonal of the simple polygon. Two ears vi and vj are called nonover-lapping if the interiors of the triangles with vertices vi and its two adjacent vertices and vj and its two adjacent vertices do not intersect. Prove that every simple polygon with at least four vertices has at least two nonoverlapping ears.
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