Questions arising from a duality between the median triangle theorem and a theorem of Pompeiu

This Article is motivated by the observation that the median triangle theorem can be thought of as a dual to a theorem of Pompeiu. It treats questions that arise from the pursual of this duality, and especially of certain imperfections in this duality.

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Publication Details

Journal
The Mathematical Gazette
Published
2025-06-20
DOI
https://doi.org/10.1017/mag.2025.10070
Primary Topic
Mathematics and Applications
Type
article
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article

Questions arising from a duality between the median triangle theorem and a theorem of Pompeiu

Mowaffaq Hajja, Panagiotis T. Krasopoulos
The Mathematical Gazette
Mathematics and Applications
article

Questions arising from a duality between the median triangle theorem and a theorem of Pompeiu

Mowaffaq Hajja, Panagiotis T. Krasopoulos
article en

Abstract

This Article is motivated by the observation that the median triangle theorem can be thought of as a dual to a theorem of Pompeiu. It treats questions that arise from the pursual of this duality, and especially of certain imperfections in this duality.

The Mathematical GazetteVol. 109(575)
Kuehne + Nagel (Greece) (GR), Médecins Sans Frontières (JO)
Reduced inequalities
Openalex Percentile: Top 80%
Mathematics and Applications
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Questions arising from a duality between the median triangle theorem and a theorem of Pompeiu — Mowaffaq Hajja, Panagiotis T. Krasopoulos · The Mathematical Gazette (2025) | TGRS Research Map | TGRS