Original scientific paper
Pythagorean theorems in the alpha plane
Harun Baris Çolakoğlu
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
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
Publication date:
9.12.2009.
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