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

Published online by Cambridge University Press:  20 June 2025

Mowaffaq Hajja  and
Panagiotis T. Krasopoulos
Mowaffaq Hajja
Affiliation:
P. O. Box 388 (Al-Hoson) Irbid, 21510 Jordan e-mail: mowhajja1234@gmail.com, mowhajja@yahoo.com
Panagiotis T. Krasopoulos
Affiliation:
38 Dimosthenous St. 17671 Kallithea, Athens Greece e-mail: pan_kras@yahoo.gr, pankras@teemail.gr
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Extract

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.

Type
Articles
Information
The Mathematical Gazette , Volume 109 , Issue 575 , July 2025 , pp. 231 - 246
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Copyright
© The Authors, 2025 Published by Cambridge University Press on behalf of The Mathematical Association

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