On the Concept of Circle and Angle in Galilean Plane

Abdullah Kurudirek; Hüseyin Akça

doi:10.4236/oalib.1101256

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Open Access Library Journal > Vol.2 No.2, February 2015

On the Concept of Circle and Angle in Galilean Plane ()

Abdullah Kurudirek, Hüseyin Akça

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

DOI: 10.4236/oalib.1101256 PDF HTML XML 721 Downloads 1,103 Views Citations

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

Share and Cite:

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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[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.