Simos, T.Tsitouras, C.2023-08-242023-08-242017Dayıoğlu, A. ve Çelik, B. (2017). ''On the relation between addition of collinear points and collineations in PK2(Q(epsilon))''. ed, T. Simos ve C. Tsitouras. AIP Conference Proceedings, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (Icnaam-2016), 1863.978-0-7354-1538-60094-243Xhttps://doi.org/10.1063/1.4992473http://hdl.handle.net/11452/33613Bu çalışma, 19-25, Eylül 2016 tarihlerinde Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) Kongresi‘nde bildiri olarak sunulmuştur.In this paper, we investigate some algebraic and geometric properties of the addition of points on [m, 1, p] and [1, n, p] in any PK-plane coordinated with the dual local ring of quaternions (PK2(Q(epsilon))). We define two collineations of PK2(Q(epsilon)) preserving the addition of points on the lines [m, 1, p] and [1, n, p].eninfo:eu-repo/semantics/closedAccessMathematicsPhysicsProjective klingenberg planeDual local ringAdditionQuaternionsCollineations6-FlguresProceedings Paper0004101598003042-s2.0-850266731781863Mathematics, appliedPhysics, appliedLine; Projective Transformation; Collineation