IV. Summary. 



The discussion of the distribution of the stars is based on the Harvard Map, 

 a set of 55 glass negatives. The stars have been counted in square centimeters 

 uniformly distributed on the negatives. The number of stars in these squares have 

 been reduced to the corresponding number per square degree on the sky. 



The discussion of the distribution of the stars on the negatives showed that 

 the density was decreasing from the centre of the plates. In order to compensate for 

 this decrease and in order to make the whole set of plates a homogeneous material, 

 the limiting n:iagnitude of the negatives was to be investigated. 



This was accomphshed by means of Hagen's Atlas Stellarum Variahilium to- 

 gether with Pickering's photometric measurements. 



The law of the decrease of the limiting magnitude from the centre of the 

 plates was derived from the average apparent distribution of the stars on the nega- 

 tives by help of the relation between star density and stellar magnitudes given by 

 Charlier in Stellar Statistics. For the reduction of all the star densities to the 

 eleventh magnitude of the Harvard Scale the same relation has been applied. 



At last all the negatives of the Harvard Map have been combined and charts 

 of star density constructed. By drawing the lines of approximately the same star 

 density a general view of the distribution of the stars to the eleventh magnitude 

 is obtained. 



