About 1,500,000 sq km of the ice covering Antarctica are in the form of floating slabs of ice round the periphery of the continent. The largest of these is the Ross Ice Shelf. Problems regarding the motion of streams of ice within an ice shelf are being investigated in the studies of the Ross Ice Shelf Project. Data are presented which were obtained in connection with extensive airborne soundings of the ice shelf made during the period from 1967 to 1972. Thickness pattern and streamlines of flow are considered along with questions regarding the velocity distribution within the Ross Ice Shelf.