366 
MR. LUBBOCK’S RESEARCHES 
^{‘+3^(1 +!)} 
(2 — m —c) 2 
(2— m —c) 2 — 1 
' 16 
{ 1+3e '( 1+ f)} = ^ 
(2—m 
(2—3 m + e) 2 
M6 
^r{ {s=5=1 + ' } *'* + dbi'*'•' } 
■3 m + c) 2 — 1 
(2—3 m + c) 
2 
— {( 2 + C -..+ l\ 
2 —1 [ 12-3m + c / 
+ 1 } ^16 + 
m 
2—3 m + c 
R 
16 
} 
r„{l + 3e’(l + y )} ~ 41 *: 
777"j ^17 + ^17^ 
(2-4 m) 2 - 1 
} 
+ 1 
} 
(2 — 4 my — 1 L L 2 — 4 m 
n»{l + 3e s (l +'f)}=| r .»-|-{ 2fil »+|- i! ’.»} 
<■!»,{ 1 + 3e “ (* + t) } = (1 - my- 1 r “" 
- d-i).-, {{dbr,+ 3 } + 7^*'“'} 
’■'«{' + 3c! (' + t) } = (1 - m r '“ 
- (, _-wl 5 -,- ^T { { + 3 } R “ + T^h-c R >°>' } 
( 1+ #)} = <r^ m + C,S ’ 
m + c) 2 — 1 
- (1 _ I C ). ' — { { + 3 } *.» + -r^Tc R ■»’ } 
{ 1+3£, ( 1 + I )} = (I^ =2 —' 
2 m) 2 — 1 
1 
(1 - 2 m) 2 - 1 [ Ll - 2 m 
{{l~27n + 3 } /il04 + 
2 m 
1 — 2771 
•^104 
e =-0548442 
m =-0748013 c = *991548 
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 1 - 8-5192440 R/ 
r s — - 0-4450058 r 3 + 1-2154967 fl 3 + 9-8181930 RJ 
