444 On u Random Scattering " of Points on a Surface. 



sidered the last two figures of the logarithms of a series of 

 consecutive numbers, as designating the coordinates of points, 

 which I supposed distributed within a square divided, for 

 convenience, into 100 equal parts ; so that the sixth place of 

 the mantissa designated the line, the seventh place the column 

 in which the point was to be put. Two hundred and fifty 

 points were distributed in this manner, and the result was as 

 follows : — 



6 



2 



1 



2 



1 



1 



3 



2 



2 



4 



3 







2 



3 



4 



2 



5 



1 



2 



5 



2 



1 



5 



3 



1 



3 



5 







1 



2 

 



3 



7 



4 



6 



1 



1 



4 



1 







1 



1 



2 



3 



3 



2 



4 







6 



2 



1 



4 



2 



3 



2 



1 



3 



2 



2 



1 



3 



4 



2 



4 



3 



5 



4 



2 



1 



1 



1 



2 



2 



2 



2 



2 



1 



3 



1 



4 



1 



2 



1 



5 



2 ! 5 



1 



3 



3 



4 











2 



4 J 3 



5 



2 



2 



6 



4 



Applying to this case the formula above, in which we put 



m = 0, n = 50, 

 we obtain the following result : — 



Number o 



points in 



a square. 



. 



1 . 



2 . 



3 . 



4 . 



5 . 



6 . 



7 . 

 Above 



Number of 



squares. 



Observed. 



Calculated. 



7 



8-1 



23 



20'5 



28 



25-7 



17 



21-5 



13 



13-4 



7 



6-7 



4 



2-8 



1 



1-0 







0-4 





0j 



