306 
PROFESSOR A. R. FORSYTH ON THE 
e, = H- Au\ + + Gy\ + BS\ + Fe\ + Ci\ 
0 , = 2 LW. + Aa'o + H/3'2 + 0/2 + BS'o + Fe'2 + CC2, 
03 = 2L^^3 -j- Aa'3 A H^'g + Gy^'o + BS'g + Fe'o + C^'g, 
0^ = + Aa'^ A H/ 3 '^ -F ^^y\. + + Fe'^ + 
@5 = 2 L ^^5 + H" ^^'0 + ^y'b + BS'g + Fe'- + CC 5 , 
0g = 2L"^g + Aa'g + H^'g + Gy'e + BS'g + Fe'g + C^'g ; 
a = 2L^i<.j “ “i<^ 2 oo ““ /^i4’uo ~~ yi^ioi “ Qpi “ 
&" — 2F^U~ — (^-;4>020 “ A^llO “ 77^011 ““ P^7 Q/^7 ^^7’ 
n" = 2Lhi^^ — 
^w4‘002 
/^ 10 ‘^on "■ 
■ 710^101 " 
B 
0 
1 
~ QP'IO ” 
- 
h" = 
2L^W3 
“ 2^300 
” A^llU 
” 72^101 
“ ^2'i^020 
“ ^2*^011 
- P^2 “ 
— Qpo ~ 
Br'o, 
s" = 
2Lhi^ 
~ “ 3'^200 
” 73^^101 
“ ^3^011 “ 
“ G<^i102 
»- PXo - 
0 
“ Qp-3 
2L”ui^ 
“ “ 4^^200 
“ /^r^iio 
— 74</>101 
~ ^4^020 ' 
"" ^4^011 
-P^4- 
~ QP-4 — 
c" = 
2LVg 
“ “ 6^200 
““ ^ 6^110 
“ 7c^ioi 
“ ^0^011 " 
” ^6^002 
-PAg- 
“ Qp-c 
Ri/g, 
r = 
2L%g 
~ /^S^llO 
78^101 
^8^020 ' 
~ ^8^011 " 
“ Cs^(l02 
-PAg- 
“ Q/^s — 
Bi^s> 
m" = 
2Lrit,j 
“ 79^101 
“ ^9*^020 ■ 
~ ^9'/'011 “ 
" C[i4‘Q()2 
-PAg- 
“ Qh-q ~~ 
f" = 
2L'W5 
“jt^200 
” 75^101 
^5^020 ■ 
- A<^oii - 
^5^002 
- PX3 - 
- kVo “ 
Ri^g. 
The various coefficients a, y, S, e, A., jx, v am independent of the derivatives 
of (f). 
The coefficients in the six integrals 0^, Gg, @3, ©4,05 ©g are as follows :— 
