On the Concept of Circle and Angle in Galilean Plane

Abdullah Kurudirek; Hüseyin Akça

doi:10.4236/oalib.1101256

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On the Concept of Circle and Angle in Galilean Plane

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DOI: 10.4236/oalib.1101256 602 Downloads 965 Views Citations

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Abdullah Kurudirek, Hüseyin Akça

Affiliation(s)

Eğitim Fakültesi Matematik Bölümü, Işık üniversitesi, Erbil, Irak.

ABSTRACT

In this paper, we try to show what some basic definitions like angle and circle which are taught in Euclidean plane at secondary and high schools, mean in Galilean plane. Furthermore we try and target to introduce the results of angle and circle concepts, comparing different situations of the same definitions in Galilean and Euclidean planes.

KEYWORDS

Galilean Plane, Special Lines, Negative Angle, Parabolic Measure, Circle, Cycle

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Kurudirek, A. and Akça, H. (2015) On the Concept of Circle and Angle in Galilean Plane. Open Access Library Journal, 2, 1-5. doi: 10.4236/oalib.1101256.

References

[1]	Artıkbayev, A., Kurudirek, A. and Akça, H. (2013) Occurrence of Galilean Geometry. Applied and Computational Mathematics, 2, 115-117.

[2]	Артыкбаев, А. and Соколов, Д.Д. (1991) Геометрия в целом в плоском пространстве-времени. Ташкент. Изд. «Фан».

[3]	Kurudirek, A., Akça, H. and Erdoğan, M. (2013) On Geometries in Affine Plane. Applied and Computational Mathematics, 2, 127-129. http://dx.doi.org/10.11648/j.acm.20130206.13

[4]	Yaglom, I.M. (1979) A Simple Non-Euclidean Geometry and Its Physical Basis. Springer-Verlag, New York.