162 Proceedings of the Eoyal Society of Edinburgh. [Sess. 
and therefor( 
( 
0 a, 1 
. 0 
0 
0 ■ 
"X 
>= 
= 0, 
21 — 
0 
+ + 7 i 
0 
.7 9 
■j- t/-— — 
> 
= 0; 
V 
0 a„ 
0/7-41 
’ 3 .</ii 
0/41 
dcf) 
dan 
= 0, 
^=0 
0 A.„ > 
d(f) 
9^11 
= 0, 
dcf) 
Ki 
= 0 . 
the 
coefficients of ( 
^222 ’ 
V222 ’ ^ 
222 ’ 
^222^ 
d(j) 
= 0 . 
M = o 
0 <^ 
= 0 , 
dcf) 
-0 • 
9/7 00 
3922 ’ 
9/22 
dm^c 
) 
— 'I'L J 
rom those of ^333 , , £333 , 0,33 we have 
M = o -^=0 ^ = 0 
’ 3/33 ’ ’ S«33 ’ 
om those of 7^444, ^444, ^444 we have 
a /44 ’ 0 ai 44 ’ 
From the coefficients of ^^2’ Vu2^ ^112’ ^112 similarly have 
^,9^ = 0 -^4-M==o M + 
“^0a,2 0/hi ’ ^^62 ’ Sf/12 9/11 0/42 9 ^/^i 
, - 0 , ^= 0 . 
^^44 
:0 
'11 
because = 0 , the first of these 
e/i,i 
^=0. 
0^42 
om the coefficients of ^443 , 77443 , ^443 , ^443 we simi 
0^^ 0^) r\r^\ 
11 
,3,3, .,333, ,3^3, - ,33 nilarly have 
'0a, 3 0(/jj ’ 0/1,3 0/„ ’ 0<7,3 "0c,, ’ 0/j3 0ra,j 
ause = 0 , the first of these leads to 
^9n 
y=o. 
0^13 
n the coefficients of I444 , 77444 , ^444 , ^444 we similarly have 
>^ 4 .^ = 0 M 4 . M=,o ^4.^=0 I o 9 ^ 
"0^44 0/44 ’ ’ 9^44 "^07144 ’ dd^^~ 
ause = 0 , the first of these leads 
a^4i 
9<^ n 
to 
