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Boerstoel, J.W. (author), Huizing, G.H. (author)A design method for transonic shock-free aerofoils using analytic hodograph theory is sketched. A user-oriented outline of the program system that has been developed is presented. A number of examples of computed aerofoils show that the performance of the program system seems to be sifficient for advanced transonic shock-free aerofoil design.report 1973