Abstract
The limiting lines, which are given by the solutions of the basic equation derived by making use of the independent variables of velocity and stream function, are studied. The first three examples are the supersonic flows along a wall, in which the limiting line is split into three parts for the certain values of Mach number and sometimes a narrow continuous stream exists along the wall. Next example is the case of a spiral sinking transonic flow, where a nearly circular limiting line takes place. The last example is a transonic flow given by an approximate solution. It is the flow between two arbitrary walls.