268 



CATALOGUE OF POLAK STARS. 



REDUCTIONS FROM 1875 TO 1955 



1875.0 ao 



h. m. s. 



7 29 5.6310 



Limitations in the Method of Development by Differential Coefficients. 



That the method of development by means of differential coefficients expressed 



powers of the time has certain limitations in its ap- 



in terms of the 



ascending 



plication will be evident from an examination of the residuals Y — F 4 given on 

 pages 267 and 268. 



The extent of this 



inn 



may be shown in 



the following 



manner. 



Let 



us assume that an error x occurs in the initial function where its effect will 



be 

 fei 



maximum. 



The magnitude of the errors in the successive 



ill be represented by th 



scheme 



orders of dif- 

 mcients of x given in the following 



