Yang Shi-guo
Abstract
By using the theory and method of distance geometry,the problem of geometric inequalities for an n-dimensional simplex is discussed.Two new geometric inequalities for pedal simplex are established,as their application,the n-dimensional Euler inequality and its generalization are obtained.
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By using the theory and method of distance geometry,the problem of geometric inequalities for an n-dimensional simplex is discussed.Two new geometric inequalities for pedal simplex are established,as their application,the n-dimensional Euler inequality and its generalization are obtained.
Key concepts: Simplex, Mathematics, Inequality, Generalization, Euler's formula, Calculus (dental), Geometry, Mathematical analysis