| A New by the Characterization of Mobius Transformations Use of Apollonius Points of （2n-1）-gons |
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| 引用本文： | Serap BULUT Nihal YILMAZ OZGUR. A New by the Characterization of Mobius Transformations Use of Apollonius Points of （2n-1）-gons[J]. 数学学报(英文版), 2005, 21(3): 667-672. DOI: 10.1007/s10114-004-0475-3 |
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| 作者姓名： | Serap BULUT Nihal YILMAZ OZGUR |
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| 作者单位： | Department of Mathematics, Faculty of Arts and Science, Balikesir University, Balikesir 10100. Turkey |
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| 基金项目： | Acknowledgments We would like to thank Professor Nikolas Samaris for sending us his research results. |
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| 摘 要： | In this paper, we give a new characterization of Mobius transformations. To do this, we extend the notion of Apollonius points of a triangle and of a pentagon, to the notion of Apollonius points of an arbitrary （2n-1）-gon.
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| 关 键 词： | Mobius转换 Apollonius点 扩展法 三角形 |
| 收稿时间： | 2003-04-11 |
| 修稿时间： | 2003-04-112003-07-10 |
A New Characterization of Möbius Transformations by the Use of Apollonius Points of (2n – 1)–gons |
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| Serap Bulut,Nihal Yilmaz Özgür. A New Characterization of Möbius Transformations by the Use of Apollonius Points of (2n – 1)–gons[J]. Acta Mathematica Sinica(English Series), 2005, 21(3): 667-672. DOI: 10.1007/s10114-004-0475-3 |
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| Authors: | Serap Bulut Nihal Yilmaz Özgür |
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| Affiliation: | (1) Department of Mathematics, Faculty of Arts and Science, Balikesir University, Balikesir 10100, Turkey |
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| Abstract: | In this paper, we give a new characterization of Möbius transformations. To do this, we extend the notion of Apollonius points of a triangle and of a pentagon, to the notion of Apollonius points of an arbitrary (2n – 1)–gon. |
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| Keywords: | M?bius transformations Apollonius points of (2n – 1)– gons |
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