This is the first book of robotics presenting solutions of uncoupled and fully-isotropic PMs and a method for their structural synthesis. Non-redundant/redundant, overconstrained/isostatic solutions of uncoupled and fully-isotropic PMs with elementary/complex legs actuated by linear/rotary actuators with/without idle mobility and two to six DoFs are present in a systematic approach of structural synthesis. These solutions are derived from families of PMs with decoupled motions.