1 Introduction; 1.1 Degree of freedom; 1.2 Robot manipulator; 1.3 Robot arms; 1.4 Robot manipulators in industrial environment; 2 Homogenous transformation matrices; 2.1 Translational transformation; 2.2 Rotational transformation; 2.3 Pose and displacement; 2.4 Geometrical robot model; 3 Geometric description of the robot mechanism; 3.1 Vector parameters of a kinematic pair; 3.2 Vector parameters of themechanism; 4 Two-segment robot manipulator; 4.1...