Inequalities for the medians and vertex distances of two n-simplices with applications

Abstract

Some geometric inequalities involving the medians, vertex distances and volumes of two n-simplex are proved in Eⁿ. As applications, some new geometric inequalities are given

Subject Classification: (2000):

• 51K05
• 51K16
• 52A40

Keywords:

• Simplex
• Medians
• Vertex Distances
• Polar Simplex
• Tangent Point Simplex
• Escenters Simplex
• Geometric Inequality