422 The Incomplete Moments of a Normal Solid 
We have further, since 
''!__<*-'-f)„), J=_(tll|)(,) (114), 
dx 1 — dy 1 — 
(^) (115). 
Hence = 
— (^?m''2^))- = 0 
= TnT„\ (116), 
where = (z),^^. 
Hence, developing as a function of 7% 
/dz\ r- fd-z\ 
»-=o 
= ^„ (i + vT.t; + T,T.; + ... ) (117). 
Therefore 
(^P'\\r<lz 
plql 
= (dpe,' - r ^,_i^Vi + J . .) (i + r Ti r/ + ~ 4- . . 
~ ^fj ^0 
+ YiWT.T.:-w,_,e',^,T:T; + d,_,6',^,)z, 
+ (118). 
The development of the coefficients of the /-'s is obvious. If we write the coefficient 
of as (dpqT)n, or where there is no possibility of confusion (dT)n, we have 
"fj^ = \^0,d,; + r (dn + (on + f , + • • • j (ii9). 
Hence 
= C+ [6,6,; r + {6n Yi + ^, + {dT)., f , + . . . j ^0 {h, k) . . .(120), 
^^here ^„ Q,^ k) = HK. 
