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Volume 7, Issue 5, Article 165 |
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Inequalities for Inscribed Simplex and Applications
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Authors: |
Shiguo Yang, Silong Cheng, |
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Keywords:
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Simplex, Inscribed simplex, Inradius, Circumradius, Inequality. |
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Date Received:
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18/01/05 |
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Date Accepted:
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06/06/05 |
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Subject Codes: |
51K16, 52A40.
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Editors: |
Wing-Sum Cheung, |
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Abstract: |
In this paper, we study the problem of geometric inequalities for the inscribed simplex of an n-dimensional simplex. An inequality for the inscribed simplex of a simplex is established. Applying it we get a generalization of n-dimensional Euler inequality and an inequality for the pedal simplex of a simplex.
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