io6 CAUSES which ajfeff the ACCURACY 



22. THAT it may appear wherein this formula differs from. 



(K ft 



the ordinary one, inftead of b and P , we muft introduce 

 log. b t and log. (3, which, when b and P are not very unequal, may 

 be done without difficulty. For we have 



I". 



b_ 



7 : 



& 

 .P 



IA* / fl \ 3 ;**/ U \ rm r 



. + ( kg . ) -f (%. J + tfc. Therefore 



/* 

 y 



That is> & -P = plof* + &%**& > re J eain S a11 ^ 



/^ .,* jj 



& P 





terms which involve powers, of log.) of /o^.-, and off*, high- 

 er than the fquare. Hence alfo, 



ifm bQ . 



''P ' 



f*v" 



/*/OT 3 



23. THIS 



