Volume 3, Issue 1, March 2018, Page: 9-15
Three Vertex and Parallelograms in the Affine Plane: Similarity and Addition Abelian Groups of Similarly n-Vertexes in the Desargues Affine Plane
Orgest Zaka, Department of Mathematics, Faculty of Technical Science, University “Ismail QEMALI”of Vlora, Vlora, Albania
Received: May 14, 2017;       Accepted: Dec. 18, 2017;       Published: Jan. 8, 2018
DOI: 10.11648/j.mma.20180301.12      View  1471      Downloads  67
Abstract
In this article will do a’ concept generalization n-gon. By renouncing the metrics in much axiomatic geometry, the need arises for a new label to this concept. In this paper will use the meaning of n-vertexes. As you know in affine and projective plane simply set of points, blocks and incidence relation, which is argued in [1], [2], [3]. In this paper will focus on affine plane. Will describe the meaning of the similarity n-vertexes. Will determine the addition of similar three-vertexes in Desargues affine plane, which is argued in [1], [2], [3], and show that this set of three-vertexes forms an commutative group associated with additions of three-vertexes. At the end of this paperare making a generalization of the meeting of similarity n-vertexes in Desargues affine plane, also here it turns out to have a commutative group, associated with additions of similarity n-vertexes.
Keywords
n-vertexes, Desargues Affine Plane, Similarity of n-Vertexes, Abelian Group
To cite this article
Orgest Zaka, Three Vertex and Parallelograms in the Affine Plane: Similarity and Addition Abelian Groups of Similarly n-Vertexes in the Desargues Affine Plane, Mathematical Modelling and Applications. Vol. 3, No. 1, 2018, pp. 9-15. doi: 10.11648/j.mma.20180301.12
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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