290 
ON SCHUBERTS METHOD FOR THE 
[702 
We have 
g 4 = 2G, Pig 3 =Pigs = Pig e + G, = G. 
Next for the terms in g 2 , from ppg =p} 2 +g e we have 
p?g = Pige, 
PiP*g =Pi 3 p2 +Pig e , 
and thence 
Pig 3 = Pig,) 
PiP*g*=PiP2g+Pigs, 
or, since pig s — G as before, the whole term is = 18p 2 p- 2 g + 246?. The terms in g thus 
become = g (6p*pa — 16pip*pa), and from the same equation Pig = Pi+g e we find 
PiPSg =Pip 3 and p^hPsg =Pi ptP?,+Pi pi > 
The value is thus finally found to be 
= - lOprpo 2 - 10pfpaPa + ^piPipiPi + 10G. 
The whole series of like results is 
PiPi Pi%Ps PiPzPsPi G 
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