Plates. 



Plate I. Apparent vertex from the proper motions of all stars brighter than 6*". 



The^' lines in the diagram give the direction of the line of sym- 

 metry in the distribution of the apparent proper motions for each square. 

 Plate II. Apex from stars of the magnitude 4™ to 4^.99 . 



The lines in the diagram give the direction, as well as the amount, 

 of the mean displacement of the stars of the 4"' magnitude for each square. 



The star in the diagram indicates the computed position of the 

 apex (§10). 



Plate III. Apex from stars of the magnitude 5"* to 5™. 99 

 Plate IV. Apex from all stars brighter than 6™. 



Plate V. True vertex from the computed distribution of the linear velocities of 

 the stars. 



The lines in the diagram give the direction of the computed line 

 of symmetry in the frequency distribution of the linear velocities. 

 Plate VI. Distribution of the 48 squares on the sphere in the projection of Flam- 

 steed. 



The small circles on the diagram indicate the course of the 

 Milky Way. 



Plate VIL Distribution of the poles of the proper motions of those stars, which 

 have a total proper motion larger than 0".300. 



Most of these stars have, else, been omitted in this investigation. 



It may be observed tliat the position of the vernal equinox is hot 

 the same in plate VII as in plate VI. 



It is found that the poles of the large proper motions lie most 

 closely together along a great-circle having, approximately, the vertex 

 as pole. A fact first found by Kobold. 



(The printing ended the lö"" May 1913.) 



