A Circumradius-Inradius Identity and an Identity Relating Volumes for a Simplex |
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| Authors: | Wang Jia |
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| Affiliation: | (1) Department of Mathematics, Southwest China Normal University, Chongqing, 630715, P.R. China |
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| Abstract: | We establish an identity for an n-dimensional simplex relating the circumradius and the inradius, and an identity relating its volume and the pedal volume. As applications, we derive some known inequalities for simplices and generalizations of such inequalities. |
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| Keywords: | simplex volume circumradius inradius. |
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