352 
Proceedings of Royal Society of Edinburgh. 
SESS. 
m 
ft 
ft 
ft 
ft 
- \ 
1 
u i 
a 2 
a 3 
ft ‘ 
-«i 
1 
ft 
ft 
- ft - 
~ a 2~ 
■ ft 
1 
7i 
— ft - 
~ a 3 ~ 
ft 
~ 7i 
1 
= in + (^ 1 ^ 1 4" hf^ 4" ftft + 
m 
7^ 
ft 
ft 
*4 
ft 
1 
a i 
a 2 
a 3 
a 4 
ft 
~ a i 
1 
ft 
ft 
@3 
ft 
- a 2 
-ft 
1 
7i 
72 
ft 
- a 3 
— /ft 
“ 7i 
1 
ft 
ft 
- a 4 
~ ft 
-72 
-ft 
1 
+ 2 a i ! m ft li 2 
ft ft 
a. 
(6 terms) 
+ 2 
ft ft ft 
a l a 2 
ft 
ft ft ft 
a l a 2 
A 
(4 terms) 
+ 
a 1 ct-2 ct^ 
ft ft 
7i 
m ft h 2 h z ft 
ft ft ft ft 
a l a 2 a 3 
A ft 
7i 
= + ft x ft + ftft +....) 
+ 2aJ m ft h 
ft 7; 
a 
+ 2 1 ft ft ft 
(10 terms) 
a i a 2 
ft 
+ 21 
a l a 2 a 3 
ft ft 
7i 
+ ! ft ft ft 7^ 4 7ft 
a l a 2 a 3 a 4 
ft ift ft 
7l 72 
ft 
ft ft ft 
a l a 2 
(10 terms) 
ft 
| m ft h 2 ft ft 
ft ft ft ft 
a l a 2 a 3 
ft ft 
7i 
| ft ft ft ft ft 
aj a 2 <x 3 a 4 
ft ft ft 
7l 72 
ft 
(5 terms) 
Looking at the last of the four we observe — 
(1) that the 1st and 3rd groups of Pfaffian products resemble 
each other, as do also the 2nd and 4th. 
(2) that in the 1st and 3rd groups of Pfaffian products the one 
Pfaffian is a minor of the other, — is, in fact, the co-factor 
of m in that other. 
(3) that in the 1st and 3rd groups of Pfaffian products the first 
