Basic Motion Profiles.- Analytic Expressions of Elementary Trajectories.- Composition of Elementary Trajectories.- Multipoint Trajectories.- Elaboration and Analysis of Trajectories.- Operations on Trajectories.- Trajectories and Actuators.- Dynamic Analysis of Trajectories.- Trajectories in the Operational Space.- Multidimensional Trajectories and Geometric Path Planning.- From Geometric Paths to Trajectories.- Appendices.- A Numerical Issues.- B B-spline, Nurbs and Bézier curves.- C Representation of the Orientation.- D Spectral Analysis and Fourier Transform.- Trajectory Planning.- Trajectory Planning.