A non-miquelian Laguerre plane satisfying a theorem of miquelian type
Tóm tắt
This note shows that a theorem of miquelian type known as (M2) holds in a certain non miquelian Laguerre plane of shear type as defined by Löwen and Pfüller[1].
Tài liệu tham khảo
R. Löwen and U. Pfüller. Two-dimensional Laguerre planes over convex functions.Geom. Dedicata, 23:73–85, 1987.
H.-J. Samaga. A unified approach to Miquel's theorem and its degenerations.Lect. Notes Math., 792:132–142, 1980.
B.L. av.d.Waerden and L.J. Smid. Eine Axiomatik der Kreisgeometrie und der Laguerre-geometrie.Math. Ann., 110:753–776, 1935.