The hodograph method has been used extensively in France for the computation of turbomachine blade profiles. The work started in 1939 but the industrial development took place during the last decades. This paper presents recent research and the results obtained. The method used in “Association Technique pour la Turbine à Gaz” (ATTAG) and in industry concerns the assimilation of the real fluid to the Chapligin ideal fluid. It permits only calculation of profiles for subsonic flows but provides quite satisfactory predictions for velocities near the critical value. It is easy to use. More complicated developments are undertaken for defining profiles adapted to reversible transonic flows, i.e., without shock. Different methods providing similar results are being studied by several groups in ONERA.