366 
MR. LUBBOCK’S RESEARCHES 
{‘ + 3e =(i + |)} 
(2 — m — c) 2 
(2 — m—c) 2 — 1 15 
{ 1 +3e .(‘ + f)}=^ 
-3 m + c) 2 
3 m + c) 3 — 1 
(2— 3m+c) 
j ( — g±£_ + i \ 
a — 1 1 1 2—3 m + c ^ / 
+ l } -Rifi + 
m 
2—3 m + c 
R, 
} 
r > 7 { 1 + 3 e2 (l + 1) } “ 4^71 “ 4 ^Ti { R " + B ^} 
r, 8 {l+ 3eS (l +!)}= ( 2 ^ 
(2 — 4 m) 2 
4 m) 2 — 1 
(2 — 4m) 2 — 1 
m { 1 + 3e ' (l + I) } = J r »- T { 2 K '» + f R '» } 
f|0 ,{l+3^(l+|)}= (1 ( l-Tj i 7 r, 0 , 
{{d^ +1 K+2 ^r- m R 'A 
1 
(1 — m) 2 — 1 |_ L 1 — m 
{{t^+ 3 K + t^ r '°'} 
2 (\ + il\ \ = 0 ~™~c) 
r l0 *{ 1 + 3 e 2 ^ 1 +-f)} 
(1 — m — c) 2 — 1 
- n r { { ^ + 3 ) R 102 + — 2 - - ra R 102 ' j 
(1— m — c) 2 — 1[L1— m — c J 1— m — c J 
{ i + 3e .(, + |)} = 
(1 — m + c) 2 
(1 — m + c) 2 — 1 
(1 
\ J / ^ 0 jl c ) + 3 1 j ^ m r > 1 
_ m + c) 2 _ 1 [ 1(1 _,« + c) + " 103 + 1 -m + c 103 J 
{ 1+3e *(, + !)}= 
(1—2 m) 2 
(1 — 2m) 2 — 1 
1 
(1 _ 2m) 2 — 1 ( L l -2m 
{{r=k + 3 W + r^» B “*'} 
m = *0748013 c = -991548 e = -0548442 
Substituting in the preceding equations, and writing the logarithms of the 
coefficients instead of the coefficients themselves, we get 
r, = o- 1460995 r, -0-2308405 R, — 8-5192440 R/ 
r,= — 0-4450058 r 3 + 1-2154967 Rj + 9-8181930 R,' 
