that is for the four cases successively 
6 (6,6,'), 6 b.ug—3b,uU,, med Da zi 
6 (bebo). 3 bou, —3b,u,, — 
6 (b,62'), a blos Det 
m 
: ' ; 36,b, 6b,° 
6 (b, 55 ), i Duo EPE ij 
’ 
m m 
3b,? 6b,b, 
m : m 
3b,b, 6b,b, 
ft, 4,C, 4 C, Su, a,C, + C, 
m 0 ek m 0 
CHC, 4,C,+C, CdC, 
i) ’ i) ’ 4 9 
36,b, 66, 
SS Abr 0 
m m 
— 3b, 3b,, — 2b,°, b, b,, 0 
m 
185,53 
, 3b, — ——., bym-2b,b,, b,b,, -3b3b, 
m 
185,53 
’ OR ee See met 
m 
— 2b,b,, 5,6, + 2bym, — 12b3b, 
which may be represented for a moment by D, D, ), D,D,D,D,D,,. 
After these reductions it is evident that only the second column 
contains the quantities u, mu, u,. Hence, with regard to the relations 
(17), this determinant may be written in the form Au,+B, where 
the value of A is found by differentiating with respect to u, and B 
by substituting u, = 0. 
In this way A takes the form of a determinant of the eighth order 
which immediately leads to the following of the sixth order. 
3b 
EN | 0 
Oy Bhs 
m 
3b, 65, 
re pee 
mm 
A= —a,u 
3b, 
0 0 
m 
0 0 0 
(Dy D, D, 
dD 
where D= — 
du, 
c= 0 
0 
2b, b, 
m 
5 2%, 
m 
rie 
3 
D, D, 
m 
— jp) 
3 
b 
4 
ve. 
Ber sie 
m 
eer 
3 
m 
dps 
3 
b, 2b 
Ones 
0 U 
m 
— D 
3 
4 DD. D, 
qr. 0 
b, 0 
2b, b, 
m 
3 26, 
mL 
0 ; 
3 
