Master'sOpen Access

On gyroellipses

2022
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Advisor: Dr. Öğr. Üyesi Zafer Şanlı

Abstract (EN)

This thesis consists of five chapters. In the first chapter, information and literature researches about the subject studied and the aim of the thesis are given. In the second chapter, gyrogroups and gyrovector spaces are introduced and some basic concepts and propositions used in gyroalgebra are given In the third chapter, the definitions of barycentric coordinates which have an im-portant place in the study of gyroellipses are given and some gyrotrigonometric identities are examined.. In the fourth chapter, some results of ellipses in Euclidean plane were obtained by using definition and some properties of gyroellipses in Einstein gyrovector spaces. In the fifth and last chapter, the contributions to the literature and the results are given in the light of the obtainments.

Author

Dr. Nazlıcan Kaya

How to Cite

Nazlıcan Kaya (Master Thesis). On gyroellipses, 2022, Burdur Mehmet Akif Ersoy University.

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