1. The history of the development of the operation of sympathetic ganglionectomy for vasospasm is related. 2. A simple classification is given of the common diseases of the peripheral arteries. 3. The symptoms of peripheral arterial disease are described. 4. The investigations are discussed. 5. The treatment, both conservative and surgical, is discussed, with comments on arterial grafts. 6. Special points are made regarding poliomyelitis, acrocyanosis, Bazin's disease, cervical rib, vascular injuries and crutch arteritis. 7. The long-term results of sympathectomy are reviewed.