The problem of the existence of a transonic flow without a shock wave is still unsolved, notwithstanding even very recent research work, including the fundamental work done byMorawetz andManwell: all these researches consider the flow on the odographic plane, and the essential observation that may be made concerning them is that they show the non-existence of a continuous flow in the case of profiles with a contour that isnot regular. In this commentary, the problem is tackled in a different way, namely, by considering the flow directly on the physical plane and agreeing to represent the velocity on the contour of the profile by means of the integral equation ofOswatitsch. With an appropriate modification of this it is possible to construct a «model» of transonic flow, through which one may recognize with all simplicity what happens when the speed uA on the contour exceeds the speed of sound.