Araştırma Makalesi

On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane

Cilt: 4 Sayı: 2 30 Aralık 2022
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On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane

Öz

In present article, we introduce an inversion with respect to a Chinese Checkers circle in the Chinese Checkers plane, and prove several properties of this inversion. We also study cross ratio, harmonic conjugates and the images of lines, planes and Chinese Checkers circle in the Chinese Checkers plane.

Anahtar Kelimeler

Kaynakça

  1. Krause, E. F. (1975). Taxicab geometry, Addison-Wesley, Menlo Park, California.
  2. Chen, G. (1992). Lines and circles in Taxicab geometry. Master Thesis, Department of Mathematic and Computer Science, Central Missouri State Uni.
  3. Minkowski, H. (1967). Gasammelte abhandlungen, Chelsea Publishing Co., New York.
  4. Gelisgen, Ö., & Kaya, R. (2008). The Taxicab space group. Acta Mathematica Hungarica, 122(1), 187-200.
  5. Kaya, R., Akça, Z., Günaltılı, İ., & Özcan, M. (2000). General equation for Taxicab conics and their classification. Mitt.Math. Ges. Hamburg, 19, 135-148.
  6. Menger, K., & Sutton, R. M. (1952). You will like geometry. American Journal of Physics, 20(8), 521-521.
  7. Schattschneider, D. J. (1984). The Taxicab group. American Mathematical Monthly, 91, 423-428.
  8. Akça Z., & Kaya, R. (2004). On the distance formulae in three dimensional Taxicab space. Hadronic Journal, 27(5), 521-532.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2022

Gönderilme Tarihi

7 Aralık 2022

Kabul Tarihi

22 Aralık 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 4 Sayı: 2

Kaynak Göster

APA
Pekzorlu, A., & Bayar, A. (2022). On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. Hagia Sophia Journal of Geometry, 4(2), 28-34. https://izlik.org/JA79MY86XN
AMA
1.Pekzorlu A, Bayar A. On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. HSJG. 2022;4(2):28-34. https://izlik.org/JA79MY86XN
Chicago
Pekzorlu, Adnan, ve Ayşe Bayar. 2022. “On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane”. Hagia Sophia Journal of Geometry 4 (2): 28-34. https://izlik.org/JA79MY86XN.
EndNote
Pekzorlu A, Bayar A (01 Aralık 2022) On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. Hagia Sophia Journal of Geometry 4 2 28–34.
IEEE
[1]A. Pekzorlu ve A. Bayar, “On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane”, HSJG, c. 4, sy 2, ss. 28–34, Ara. 2022, [çevrimiçi]. Erişim adresi: https://izlik.org/JA79MY86XN
ISNAD
Pekzorlu, Adnan - Bayar, Ayşe. “On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane”. Hagia Sophia Journal of Geometry 4/2 (01 Aralık 2022): 28-34. https://izlik.org/JA79MY86XN.
JAMA
1.Pekzorlu A, Bayar A. On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. HSJG. 2022;4:28–34.
MLA
Pekzorlu, Adnan, ve Ayşe Bayar. “On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane”. Hagia Sophia Journal of Geometry, c. 4, sy 2, Aralık 2022, ss. 28-34, https://izlik.org/JA79MY86XN.
Vancouver
1.Adnan Pekzorlu, Ayşe Bayar. On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. HSJG [Internet]. 01 Aralık 2022;4(2):28-34. Erişim adresi: https://izlik.org/JA79MY86XN