The Gergonne and Nagel centers of an \(n\)-dimensional simplex (Q811826)

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scientific article; zbMATH DE number 5000043
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The Gergonne and Nagel centers of an \(n\)-dimensional simplex
scientific article; zbMATH DE number 5000043

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    The Gergonne and Nagel centers of an \(n\)-dimensional simplex (English)
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    23 January 2006
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    Generalizing the definitions for the Gergonne and Nagel centers proposed in [\textit{M. Hajja} and \textit{P. Walker}, J. Geom. 75, 106--112 (2002; Zbl 1026.51017)] to the case of an arbitrary \(n\)-dimensional simplex, the author proves their existence and uniqueness.
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    Gergonne center
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    Nagel center
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    \(n\)-dimensional simplex
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