Abstract:
In 1831, Michel Chasles proved the existence of a fixed line under a general displacement in R3. The fixed line called the screw axis of displacement was obtained by McCharthy in [10]. The purpose of this paper is to develop the method which is given for the pure rotation in [14], and thus to obtain the screw axis of spatial displacement in 3- dimensional Minkowski space. Firstly, we give a relation between dual vectors and lines in E3_1, characterize the screw axis. Also, we discuss the dual split quaternion representation of a spatial displacement.
