1. Some properties of 6-figures and cross-ratios in some moufangklingenberg planes
- Author
-
Suleyman Ciftci, Atilla Akpinar, Nisa Çelik, Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü., Çelik, Nisa, Çiftçi, Süleyman, Akpınar, Atilla, and ABB-9790-2020
- Subjects
Ring (mathematics) ,Pure mathematics ,Moufang-Klingenberg planes ,Algebra and Number Theory ,Relation (database) ,Applied Mathematics ,Dual number ,Cross-ratio ,Construct (python library) ,6-figure ,Algebra ,Local alternative ring ,Quadratic equation ,Local Ring ,Projective Transformation ,Collineation ,Ratio of 6-figure ,Mathematics ,Mathematics, applied - Abstract
In this paper, we study on Moufang–Klingenberg planes [Formula: see text] defined over a local alternative ring [Formula: see text] of dual numbers. We get relations between some special 6-figures and its ratios. Also, we construct a relation between the solvability of the special quadric equation in [Formula: see text] and the existence of the special 6-figure in [Formula: see text]. Moreover, we give a construction which provides an algorithm for "squaring" and "cubing" a cross-ratio of points in [Formula: see text].
- Published
- 2010