2022-03-112022-03-112008Akpınar, A. vd. (2008). "Cross-ratios and 6-figures in some Moufang-Klingenberg planes". Bulletin of the Belgian Mathematical Society - Simon Stevin, 15(1), 49-64.1370-1444https://doi.org/10.36045/bbms/1203692446https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-15/issue-1/Cross-Ratios-and-6-Figures-in-some-Moufang-Klingenberg-Planes/10.36045/bbms/1203692446.fullhttp://hdl.handle.net/11452/24953This paper deals with Moufang-Klingenberg planes M(A) defined over a local alternative ring A of dual numbers. The definition of cross-ratio is extended to M(A). Also, some properties of cross-ratios and 6-figures that are well-known for Desarguesian planes are investigated in M(A); so we obtain relations between algebraic properties of A and geometric properties of M(A). In particular, we show that pairwise non-neighbour four points of the line g are in harmonic position if and only if they are harmonic, and that p is Menelaus or Ceva 6-figure if and only if r (mu) = - 1 or r (mu) = 1, respectively.eninfo:eu-repo/semantics/openAccessMathematics6-figureCross-ratioLocal alternative ringMoufang-klingenberg planesArticle0002553151000052-s2.0-423490919284964151MathematicsLine; Projective Transformation; Collineation