On the Concept of Circle and Angle in Galilean Plane
Show more
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
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.