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Mathematical Communications, Vol. 14 No. 2, 2009.

Original scientific paper

Pythagorean theorems in the alpha plane

Harun Baris Çolakoğlu orcid id orcid.org/0000-0001-5559-9768 ; Department of Mathematics and Computer Sciences,Faculty of Arts and Science, Eskişehir Osmangazi University, Eskişehir-26 480, Turkey
Özcan Gelişgen ; Department of Mathematics and Computer Sciences,Faculty of Arts and Science, Eskişehir Osmangazi University, Eskişehir-26 480, Turkey
Rustem Kaya

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Abstract

In this paper, we give three $\alpha$ versions of the Pythagorean
Theorem and show that the converse statements are not true.
Finally, we give a necessary and sufficient condition for a
triangle in the $\alpha$ plane to have a right angle.
\end{abstract}

Keywords

Pythagorean theorem; $\alpha$ metric; $\alpha$ plane; metric geometry

Hrčak ID:

43998

URI

https://hrcak.srce.hr/43998

Publication date:

9.12.2009.

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