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Volume 10, Issue 3, Article 79 |
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A Geometric Inequality Involving a Mobile Point in the Place of the Triangle
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Authors: |
Xiao-Guang Chu, Yu-dong Wu, |
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Keywords:
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Bottema's inequality, Euler's inequality, Fermat's sum, triangle, mobile point. |
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Date Received:
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04/03/2008 |
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Date Accepted:
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27/08/2009 |
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Subject Codes: |
Primary 51M16; Secondary 51M25, 52A40.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
By using Bottema's inequality and several identities in triangles, we prove a weighted inequality concerning the distances between a mobile point  and three vertexes  of  . As an application, a conjecture with regard to Fermat's sum  is proved.
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