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On Geometries in Affine Plane

Received: 30 September 2013     Published: 20 November 2013
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Abstract

So far, in different articles and books the concepts of modern definition of geometry and Minkowskian, Galilean planes and spaces have been introduced. In this paper, we are going to describe geometry that is improved by W. Thurston and then we are going to introduce you to geometries that are suitable to this description in 2 dimensional planes.

Published in Applied and Computational Mathematics (Volume 2, Issue 6)
DOI 10.11648/j.acm.20130206.13
Page(s) 127-129
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Non-Euclidean Geometry, Isometric, Galilean Geometry, Minkowskian Geometry, Affine Plane

References
[1] Scott P. The geometries of 3-manifods. Bull. London Math. Soc.15, 1983, n.56, p.401-487.
[2] Vincent Hugh. Using Geometric Algebra to Interactively Model the Geometry of Euclidean and non-Euclidean Spaces. February, 2007.
[3] Артыкбаев А. Соколов Д.Д. Геометрия в целом в плоском пространстве-времени. Ташкент. Изд. «Фан». 1991 г.
[4] Artıkbayev A., Kurudirek A., Akça H. Occurrence of Galilean Geometry. Applied and Computational Mathematics Vol. 2, No. 5, 2013, pp. 115-117. doi: 10.11648/j.acm.20130205.11
[5] Yaglom, I.M. A Simple Non-Euclidean Geometry and Its Physical Basis, by Springer-Verlag New York Inc. 1979.
[6] Klein, F., Vergleichende Betrachtungen uber neure geometrische Forschungen. Gesammelte mathematische Abhandlungen, Vol. I, 1921, pp. 460-497. (English version is found in Sommerville, D. Μ. Υ., Bibliography of Non-Euclidean Geometry, 2nd ed., Chelsea, New York, 1970.)
[7] Klein, F., "Uber die sogenannte Nicht-Euklidische Geometrie," Gesammelte Math Abh I: 254-305, 311-343, 344-350, 353-383, 1921.
[8] Klein, F., Vorlesungen iiber nicht-Euklidische Geometrie. Springer, Berlin, 1928.
[9] Ross, W. Skyler B.S. NON-EUCLIDEAN GEOMETRY University of Maine, 2000.
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  • APA Style

    Abdullah Kurudirek, Hüseyin Akça, Mehmet Erdoğan. (2013). On Geometries in Affine Plane. Applied and Computational Mathematics, 2(6), 127-129. https://doi.org/10.11648/j.acm.20130206.13

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    ACS Style

    Abdullah Kurudirek; Hüseyin Akça; Mehmet Erdoğan. On Geometries in Affine Plane. Appl. Comput. Math. 2013, 2(6), 127-129. doi: 10.11648/j.acm.20130206.13

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    AMA Style

    Abdullah Kurudirek, Hüseyin Akça, Mehmet Erdoğan. On Geometries in Affine Plane. Appl Comput Math. 2013;2(6):127-129. doi: 10.11648/j.acm.20130206.13

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  • @article{10.11648/j.acm.20130206.13,
      author = {Abdullah Kurudirek and Hüseyin Akça and Mehmet Erdoğan},
      title = {On Geometries in Affine Plane},
      journal = {Applied and Computational Mathematics},
      volume = {2},
      number = {6},
      pages = {127-129},
      doi = {10.11648/j.acm.20130206.13},
      url = {https://doi.org/10.11648/j.acm.20130206.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20130206.13},
      abstract = {So far, in different articles and books the concepts of modern definition of geometry and Minkowskian, Galilean planes and spaces have been introduced. In this paper, we are going to describe geometry that is improved by W. Thurston and then we are going to introduce you to geometries that are suitable to this description in 2 dimensional planes.},
     year = {2013}
    }
    

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    AB  - So far, in different articles and books the concepts of modern definition of geometry and Minkowskian, Galilean planes and spaces have been introduced. In this paper, we are going to describe geometry that is improved by W. Thurston and then we are going to introduce you to geometries that are suitable to this description in 2 dimensional planes.
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Author Information
  • Department of Mathematics Education, Ishik University, Arbil, Iraq

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