On Geometries in Affine Plane

Abdullah Kurudirek; Hüseyin Akça; Mehmet Erdoğan

doi:doi:10.11648/j.acm.20130206.13

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On Geometries in Affine Plane

Abdullah Kurudirek, Hüseyin Akça, Mehmet Erdoğan

Published in Applied and Computational Mathematics (Volume 2, Issue 6)

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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TY  - JOUR
T1  - On Geometries in Affine Plane
AU  - Abdullah Kurudirek
AU  - Hüseyin Akça
AU  - Mehmet Erdoğan
Y1  - 2013/11/20
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VL  - 2
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Author Information

Abdullah Kurudirek

Department of Mathematics Education, Ishik University, Arbil, Iraq
Hüseyin Akça
Mehmet Erdoğan

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Plain Text BibTeX RIS

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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - On Geometries in Affine Plane
AU  - Abdullah Kurudirek
AU  - Hüseyin Akça
AU  - Mehmet Erdoğan
Y1  - 2013/11/20
PY  - 2013
N1  - https://doi.org/10.11648/j.acm.20130206.13
DO  - 10.11648/j.acm.20130206.13
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 127
EP  - 129
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20130206.13
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.
VL  - 2
IS  - 6
ER  -

Copy | Download