In this study, inversions in generalized taxicab circles are defined and their properties are presented. The results obtained by examining the images of points under inversions in generalized taxicab circles are provided. Additionally, the concept of the directed generalized taxicab length of a line segment is introduced. Based on this concept, the definitions of the generalized taxicab cross-ratio and the generalized taxicab harmonic conjugate are given, along with some of their properties. The impact of inversion in the generalized taxicab circle on these concepts is investigated.
Generalized taxicab distance Inversion in the generalized taxicab circle Cross-ratio Harmonic Conjugate
Primary Language | English |
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Subjects | Algebraic and Differential Geometry |
Journal Section | Articles |
Authors | |
Publication Date | December 30, 2023 |
Submission Date | October 12, 2023 |
Acceptance Date | December 16, 2023 |
Published in Issue | Year 2023 Volume: 5 Issue: 2 |