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On Explanation of Polygons in Galilean Geometry to High School Students

DOI: 10.4236/oalib.1101391, PP. 1-7

Subject Areas: Mathematical Analysis

Keywords: Galilean Plane, Kinematic, Projection, Special Line, Support Line

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Abstract

In this paper, we have tried to indicate the own properties of polygons in Galilean geometry using the Affine concepts as well. The relationships between an angle and a side as well as the relationships between altitudes and medians concepts, and comparison of some special polygons have been examined carefully. In addition, the area concept has been mentioned. Finally, the paper was completed with a new idea, Theorem 6.

Cite this paper

Kurudirek, A. and Akca, H. (2015). On Explanation of Polygons in Galilean Geometry to High School Students. Open Access Library Journal, 2, e1391. doi: http://dx.doi.org/10.4236/oalib.1101391.

References

[1]  Yaglom, I.M. (1979) A Simple Non-Euclidean Geometry and Its Physical Basis. Springer-Verlag, New York.
[2]  Kurudirek, A. and Akca, H. (2015) Explanation of Distance, Kinematic and Isometry to High School Students from Different Perspective. Macrothink Institute, International Research in Education, 3.
[3]  Kurudirek, A. and Akca, H. (2015) On the Concept of Circle and Angle in Galilean Plane. Open Access Library Journal, 2, e1256.
http://dx.doi.org/10.4236/oalib.1101256
[4]  Artikbayev, A., Kurudirek, A. and Akca, H. (2013) Occurrence of Galilean Geometry. Applied and Computational Mathematics, 2, 115-117.
http://dx.doi.org/10.11648/j.acm.20130205.11
[5]  Kurudirek, A., Akca, H. and Erdogan, M. (2013) On Geometries in Affine Plane. Applied and Computational Mathematics, 2, 127-129.
http://dx.doi.org/10.11648/j.acm.20130206.13

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