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Some generalisations of Weitzenböck’s inequality

Published online by Cambridge University Press:  11 October 2023

Quang Hung Tran
Quang Hung Tran*
Affiliation:
High school for Gifted Students, Hanoi University of Science, Vietnam National University at Hanoi, 182 Luong The Vinh, Thanh Xuan, Hanoi, Vietnam. e-mail: hungtq@vnu.edu.vn

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Throughout this Article, we use the following notations for the triangle ABC

  • a, b and c are the lengths of the sides BC, CA and AB, respectively,

  • Δ denotes the area of triangle ABC,

  • ha, hb and hc are the lengths of the altitudes through the vertices A, B and C, respectively,

  • ma, mb and mc are the lengths of the medians through the vertices A, B and C, respectively.

Information

Type
Articles
Information
The Mathematical Gazette , Volume 107 , Issue 570 , November 2023, pp. 405 - 411
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Copyright
© The Authors, 2023 Published by Cambridge University Press on behalf of The Mathematical Association

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