234 
Proceedings of the Royal Society of Edinburgh. [Sess. 
of the area. Inspection of the diagram shows that there is no pronounced 
maximum in the fourth quadrant opposite to the minimum in the second 
quadrant, but that there are two maxima approximately in the directions of 
the axes. Drawing lines at angles of 7J°, 15°, 22 J°, etc., the number of dots 
in each angle were counted. The result is given in the foregoing table 
of the distribution in direction of the proper motions in the eight areas 
considered. 
The directions in which the angles are measured are for the polar 
regions from 0 h in a positive direction, and for the equatorial regions from 
the north round towards a point on the equator at R.A. 6 h . Thus the same 
directions in two parallel planes are placed side by side in the table. 
The sums are taken for the corresponding directions in each pair of 
parallel planes, and the numbers smoothed by taking means and means 
again. The results are plotted in polar co-ordinates in diagram 2, the 
number of stars between 0° and 7 J° being indicated by the radius vector in the 
direction 3J°. If the proper motions were distributed at random in all 
