Original scientific paper
Certain binary relations and operations and their use in research of bicentric polygons
Mirko Radić
; University of Rijeka, Department of Mathematics, 51000 Rijeka, Omladinska 14, Croatia
Abstract
In the article we consider certain binary relations
and operations and their use in research of bicentric n-gons
where n ≥ 3 is an odd integer. The considered binary relations
and operations are defined on the set whose elements are
integers 1, 2, . . . , (n−1)/2 which are relatively prime to n. We have
found that some properties concerning bicentric n-gons can be
a source or generator for many useful ideas and procedures in
number theory and theory of groups. So using partition and
ordering concerning bicentric n-gons, where n is an odd integer
we have found some interesting relations concerning number
theory.
Keywords
binary relation; bicentric polygon; binary operations; partition; ordering
Hrčak ID:
104414
URI
Publication date:
27.6.2013.
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