On Taxicab Circle Inverses of Lines

Author:

Aydın Seyit Ali1ORCID,Bayar Ayşe2

Affiliation:

1. ESKISEHIR OSMANGAZI UNIVERSITY

2. ESKİŞEHİR OSMANGAZİ ÜNİVERSİTESİ

Abstract

This study conducts a thorough analytical examination of line inverses with respect to taxicab circle inversion within the analytical plane. It presents the distinctive properties exhibited by taxicab circle inverses of lines, highlighting their difference from Euclidean circle inverses.

Publisher

Ikonion Journal of Mathematics

Reference24 articles.

1. Akça, Z., Kaya R. (1997) On the taxicab trigonometry. Journal of Inst. Math. Comput. Sci. Math. Ser.,10(3):151–159.

2. Akça, Z., Kaya R. (2004) On the distance formulae in three dimensional taxicab space. Hadronic J., 27(5):521–532.

3. Akça, Z., Bayar, A., Ekmekçi, S. (2007) The norm in CC-plane geometry. Pi Mu Epsilon J. 12(6): 321-324.

4. Aydın, S. A. (2023) On Circular Inversions and Fractals. MSc thesis, Eskişehir Osmangazi University Institute of Science and Technology, Eskişehir, Turkey.

5. Bayar A., Ekmekçi S. (2014) On circular inversions in taxicab plane. Journal of Advanced Research in Pure Mathematics, 6(4):33-39.

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