PROCEEDINGS OF THE AMERICAN ACADEMY 



^2^6^3 + 28^ 



This again may be transformed into the following form : 



Fq:6-| +6-1 +121 



F^& +5 +5 



F^:2 +2 — 4 



Fq:i J +1 J — 3 J 



+16 1 Ol 



+ 5 —5 



(i3+C)_J[T(iC+i))_^^[,i^A 







+1J -5J 



in which 





2) = 



-M^* 



} 



^=i^ + 5ir-^*- 



O) 



} 



and in which the minus sign must be used for interpolated values of 

 F^ preceding Fq, and the plus sign for those following Fq. In the 

 latter transformations no small terms have been omitted ; so that this 

 last form is of the same degree of accuracy as the preceding one, and 



