394 
I’EOFESSOE A. E. FOESYTH OX THE DIFFEEEXTIAL IXYAEIAXTS 
[§37] J (u'o, w'g) = 
K46] 
FJ 
2Eto 
Fji 
1 
- Fk 
-FI 
+ Fm 
Fti 
- Gk 
-2GI 
— Gm 
C] = 
Fm 
Fun 
X^01> 
[§ 46] 
c..= 
Ehi 
— 3EF;/i 
+ (EG + 2F^) I 
- FGk 
^io)> 
[§34] 
[§41] ,]{iv,,w^ 
vj^ = {a, y, S, eX(t>oi, — 4>ioY^ 
[§42] 
[§43] 
^-2 
^loY’ 
[§44] E = - 
E^e 
E-Fe 
EF-e 
- 4E^F S 
-4EF2S 
- (2F3 + 2EFG) S 
+ {E'G + 5EF2)y 
+ (2EFG + 4F3)y 
+ (5F2G + EG')y 
- (2EFG + 2F3) /3 
- 4F^’Gy8 
- 4FG'/3 
+ F2Ga 
+ FG^a 
+ G3a 
10 
