•286 
PKOFESSOK A. E. FOESYTH OX THE 
There are the three equations 
0cr 
uC ('^ r \ r \ ^”'100 ^9 
+ 4>100 ^ 
100 ^^-200 
2h 
^''100 
rcr ,7 OCT . oc- I / _ a i 
+ y A,-^ / sT + "^oio A, - ^ r 
'^'^-hoo ‘^'^loo ^j/ino °r-200 
'^9 
CO* 
, A 3cr i Oct , , 
+ y A 7--i“ ^ aYT "I" rOOl 
a( 
d(f) 
3cr 
= 0 
3U]no 3/;^oo ^fJioo ^4’: 
from the coefficients of ^ooo^ V 2 oo. 4oo respectively ; the three equations 
+ 9l + 
a 
O S'L \ _L L / O _SqL , io- 
^3rq,, + 3/qoo'^ 36,oo ^ 3^'oio 
A A I A^ ) + *^100 A ^ 
'•3/io{) 3poio/ ®riit) 
// ( 2 ) -f 3(2 j + J f ' ') + hw 07 
\ 3aoio 3Ainn/ \ 30ioo 3/?oio/ \3/ioo opmn/ 00 
100 
3(t 
/ o 3 (T ■ 
// 2 -^-h 
00*010 o/i^oo 
+ /(2A- +-i- ) + o 
uoo 
30- 
30- _ A 
'010 ajl ~ ^ 
110 
33 
100 
33 
+f^U*o.-- =0 
010 ^ 
^^/loo 
010 
d(f) 
no 
(Hi), 
(H,), 
from the coefficients of ’7iio> ^110 respectively; the three equations 
3cr 
3(T , 3cr 
a ( 2 X-h A— 
\ 3o*o„i eg 
^001 
h{-i9‘^+ 
100 
3cr 
, 7 / 30 - , 3cr \ . / 3o- I o \ J_ 
+ 3 . + l + l/lAr—+ -A_ ) + 9l00 
ro*, 
A 
0 
'001 
dcr 
100 
+ 3 
.3yioo 
3cr 
V\ 
dllr 
001 -' 
\^9i 
001 
+ 
100 
'3o* 
+t)+f(t- + 
001 
9.9 
100 
V9/ 
100 
A 
ccr 
9^001 
3cr 
9 /I 001 
9cioo. 
3o' 
d(j) 
= 0^ 
101 
-h ./ ( A^^ + ^ A 
vP9ooi <^r;^oo' 
+ 4^010 9 ^ — 3 
30101 
+ c (f—+ 2 
^9 
001 
9 cr \ _!_ J 9 cr _ 
100 ' 
e<^ioi 
(lIs), 
from the coefficients of ^jon Vioi> ^101 respectively; the three equations 
3 cr . ^7 3cr , 3o- , , dcr 
dh 
010 
a + 2h + g -|- (/> 
010 
A A I TlOO A / 
9/oio 3005 
= 0 
'020 
h +23 + (^010 aY ' — ^ 
3 /imn 96 oio 3 /oio ^yo 
''010 
30" 
_ t c\ p 3o” I 
9 A 7 t“ ""f 07 ^ 
3+10 30oio 
'010 
3 cr 
■^020 
A A + 4 ’ooi 9 i ^ — 0 
3/ 010 300.70 
• (H,), 
from the coefficients of +307 ' 9 o 20 > ^020 respectively; the three equations 
a 
\dh 
ccr , 3cr \ , 7 A 3a- , ccr \ . j ccr 1 o ro- \ , , ccr 
+ Tc— 1+32 -+ ^ +;— ) + 0100ym-- 
^9oio' \ 93ooi 9jfoio/ Va^ooi 9coio/ r0oii 
001 
= 0 
T 3 (T I ccr 
h I :r 2 -h 
33 
9 
001 
CO- 
83 
+ 
001 
9 + 10 / 
dcr 
^‘9oio 
+ 3(2 4^ + 
33 
001 
9/( 
010 
+ /(+ + 2'+l + 'l> 
V9/( 
001 
3c 
010 
ccr 
+ /('2j^+ 
33 
001 
9 /*, 
010 
+ oi^-\-2^) + 4>c 
9/( 
001 
cc 
010 
'010 A / ■“ 
^Yon 
A 
ccr _ 
'001 YT — 
3<^ 
on 
• ( 115)7 
