172 
Proceedings of the Royal Society of Edinburgh. [Sess. 
+ {a., - + (?>3 - 2/„)|^ + {d, - 
\^4‘ _i \^4’ _ / / j. „ _ \^4‘ - 
- {Oi +/i - ''3)^ - id I + «i - ^3)^ - 1/4 + 'h - ^>h)'g^ 
ll± + jA + 2nf + dp>- 
% ^^3 dn^ 
+ ^a,-2l,)f^+{h,-2mfl-d^ 
(ix) From the coefficients of ^34, ^34, 
+ 
%4 + ^3-.)g-2«4-|-2;C,g+«3g 
+ (S3 + ^‘3 -/l)g + «4f + (/*4 + b - «*d|| + («, + /^d(g - g) » 0 , 
Kit + S) ^ KS + IS + S) + ”*(S 
+ 
4 2'^3- 
+ 2(/, + - 2;,,g - 2/,g + (/,3 4 ./■ - ,,)g 
+ *sg + (^4 + ”h - b)g + ^4^ + (^*2 + 
= 0 , 
4„r +/■ 
g^\ /a^ 
4c 2„.^4S^ +)d^42^ 
.^(74 dlj ' \df\ dmj V ^^4 ^7^3/ \^?i4 ^tig 
^ dcf) o 0 4-^^ 
+ ‘'sg + (S 4 + «1 - ^3)g + (/4 + % - «%)|| + (s» +.7l)(g - ° 
4 (m3 4 -/4)g + rflg + <^2 1| + (^2 + »«l)@ - g) = 0 > 
