SIMPLE PENDULUM. 477 



ed. We shall therefore have A' = — , K = ^^'^^'^^^ 



5' ' 17 ' 

 vCA'j.A'j) = 3.685433, and accordingly 



a result which is true to the last figure. 



3 



Again, substituting — instead of k in the series (9), we 

 shall get 



(t) = E^\ 1.00000000 \ 



6750000 



1338906 



33890-i 



90193 



26318 



7914 



2453 



775 



248 



81 



26 



8 



= K^ { 1.08535735 |, 



in which the last two figures are incorrect, although the di- 

 visions have been extended to tlie ninth decimal place. 



