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ON THE CIRCULAR INVERSION IN MAXIMUM PLANE

Year 2020, Volume: 2 Issue: 2, 26 - 34, 30.10.2020

Zeynep Can , Gülsüm Yüca

Abstract

In this paper, we investigate general properties and basic concepts of circular inversions in the maximum plane. We delve into cross-ratio and harmonic conjugates under maximum circular inversion. Furthermore, we illustrated figures related to inversions obtained in the maximum plane via Mathematica.

Keywords

inversion maximum metric cross-ratio harmanic conjugates

References

  • [1] Audin, M. (2003) Geometry, Springer-Verlag Berlin.
  • [2] Bayar A., Ekmekçi S. (2014) On circular inversions in taxicab plane, Journal of Advanced Research in Pure Mathematics, Vol. 6, Issue 4, 33-39.
  • [3] Blair, D. E. (2000) Inversion Theory and Conformal Mapping, American Math. Society, 9, 1.
  • [4] Gelişgen Ö., Ermiş T. (2019) Some Properties of Inversions in Alpha Plane, Forum Geometricorum, 19, 1-9.
  • [5] Salihova, S. (2006) On The Geometry of Maximum Metric, Ph.D. Thesis, Department of Math. Osmangazi University.
  • [6] Sezgin N. (2014) On Inversion In The Euclidean Geometry and Taxicab Geometry, Master of Science thesis, Osmangazi University.

Year 2020, Volume: 2 Issue: 2, 26 - 34, 30.10.2020

Zeynep Can , Gülsüm Yüca

Abstract

References

  • [1] Audin, M. (2003) Geometry, Springer-Verlag Berlin.
  • [2] Bayar A., Ekmekçi S. (2014) On circular inversions in taxicab plane, Journal of Advanced Research in Pure Mathematics, Vol. 6, Issue 4, 33-39.
  • [3] Blair, D. E. (2000) Inversion Theory and Conformal Mapping, American Math. Society, 9, 1.
  • [4] Gelişgen Ö., Ermiş T. (2019) Some Properties of Inversions in Alpha Plane, Forum Geometricorum, 19, 1-9.
  • [5] Salihova, S. (2006) On The Geometry of Maximum Metric, Ph.D. Thesis, Department of Math. Osmangazi University.
  • [6] Sezgin N. (2014) On Inversion In The Euclidean Geometry and Taxicab Geometry, Master of Science thesis, Osmangazi University.
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Zeynep Can

Gülsüm Yüca 0000-0002-2015-7350

Acceptance Date January 10, 2021
Publication Date October 30, 2020
Published in Issue Year 2020 Volume: 2 Issue: 2

Cite

APA Can, Z., & Yüca, G. (2020). ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. Ikonion Journal of Mathematics, 2(2), 26-34.
AMA Can Z, Yüca G. ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. ikjm. October 2020;2(2):26-34.
Chicago Can, Zeynep, and Gülsüm Yüca. “ON THE CIRCULAR INVERSION IN MAXIMUM PLANE”. Ikonion Journal of Mathematics 2, no. 2 (October 2020): 26-34.
EndNote Can Z, Yüca G (October 1, 2020) ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. Ikonion Journal of Mathematics 2 2 26–34.
IEEE Z. Can and G. Yüca, “ON THE CIRCULAR INVERSION IN MAXIMUM PLANE”, ikjm, vol. 2, no. 2, pp. 26–34, 2020.
ISNAD Can, Zeynep - Yüca, Gülsüm. “ON THE CIRCULAR INVERSION IN MAXIMUM PLANE”. Ikonion Journal of Mathematics 2/2 (October2020), 26-34.
JAMA Can Z, Yüca G. ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. ikjm. 2020;2:26–34.
MLA Can, Zeynep and Gülsüm Yüca. “ON THE CIRCULAR INVERSION IN MAXIMUM PLANE”. Ikonion Journal of Mathematics, vol. 2, no. 2, 2020, pp. 26-34.
Vancouver Can Z, Yüca G. ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. ikjm. 2020;2(2):26-34.