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Some interesting inequalities for a triangle

Šefket Arslanagić ; Odsjek za matematiku, Univerzitet u Sarajevu
Daniela Zubović ; Odsjek za matematiku, Univerzitet u Sarajevu


Puni tekst: hrvatski pdf 458 Kb

str. 9-22

preuzimanja: 122

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Sažetak

In this paper, we present some interesting inequalities for a triangle and a point inside the triangle.
At all events, the most well-known of these inequalities is the famous Erdös-Mordell inequality.
In 1935, Erdös published the inequality in the journal American Mathematical Monthly, and Mordell gave his proof in the same year.
This inequality as well as some interesting inequalities and their proofs are presented in this paper.

Ključne riječi

inequalities, triangle, Erdös-Mordell’s inequality, inscribed circle, circumscribed circle

Hrčak ID:

248601

URI

https://hrcak.srce.hr/248601

Podaci na drugim jezicima: hrvatski

Posjeta: 283 *