A geometric property of the Möbius transformation
Alexander M. Kodess
Farmingdale State College, USA
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Abstract
We show that, for any triple of distinct points in there exists a Möbius circle such that , and and are conjugate with respect to . We use this fact to avoid tedious calculations when constructing a Möbius transformation , where and are Möbius disks, and satisfies the conditions
Cite this article
Alexander M. Kodess, A geometric property of the Möbius transformation. Elem. Math. 79 (2024), no. 1, pp. 34–37
DOI 10.4171/EM/493