232 Proceedings of the Royal Society of Edinburgh. [Sess. 
2-81 
x 12 
2-82 
®*7^1 ® A*2 
h/" l ^2/ 2 
Pi 2 _ g ^i_a (e - e,Ml + 8 
t~ r ~ 0 i2r^ . 
'± 
u 
|ttN 
X “V x /1 
hf 1 hf 2 
We proceed to hnd in an approximate manner the values of d 12 , e 12 , A l2 , 
etc., and so determine the order of magnitude of P l2 . 
2*83 
2*84 
• S n = ej ^- e pT = ° ( se ® 
J 2 / 1 
= 1*6/3. s.lO- 20 . 
€ 12 = /hA 2^1 "t 7 2 ftEl — 72 ^ 1 "t a ]..i 2 "t 
= jSjfe'jEj, which is the greatest term, 
3/JwjW, 
“T 
10~ 34 . (Other terms are of order lO -37 .) 
2-85 
2-86 
JC — 7i + 7a + 7i72~ a i a 2 
li -Ji 2 
h 1 ^ 2 
— *75 . 10 _3 (?z 1 + w 2 )j 2 '- e - K i s numerically less than L 
ilj. C 12(l ~ K ) 
A -= k V + 
h -Ji % 
— e 12 
h\h' 
_3 /3h 
on retaining the greatest term, 
10~ 6 , the other terms being of value 10 9 . 
/4 
Now, taking the terms of separately, we have 
2-87 
2-88 
8,/f- = l-3. s ^. 10-*. 
12 h 1 n Y 
■ ^i 2 (e. --f + 812) = 2-5/Jfc . 10- 26 . 
h/ 1 
2-89 
