42 
MR. LUBBOCK’S RESEARCHES 
Equations 
which serve 
to determine 
the coeffi- 
cients of the 
inequalities of 
the reciprocal 
of the radius 
vector. 
(4«-5r,) 4 . m. A 
^2 “ r 23 - + -‘ a 9°s ~ 0 
» + «,) a J 
n°- l 
■ m i n 
24 + — a 9 24 = 0 
r 25 2 r 6 
} 
r fl5 + — ' a 7 i5 = 0 
f* 
n — n.)°~ f 3 1 .to, A 
-jH 1 "•/ - r ” + = 0 
n — 2 n,) 2 
•nP 
n — 3 n,) 2 
n a 
-4 b,)' 
n 2 
{ r “- 1 
| T L’> 7^ r io j y 
{ r »»-T r -'}- r 
2 8 + — aq w = 0 
F 1 
i m i A 
29 + « ? 2 9 = 0 
30 T d 930 0 
r 
— 5n,) 2 , m. A 
-^5 —^31 - r 3i + — ' « S'si =0 
3ra,) 2 / 3 1 i^'ao — 0 
n 2 L 32 2~ 13 J r 32 + — “ 932 — u 
■4 b,)' 
l J r _i r 1 
1 r 33~ A r i 4 / 
*33 + — « ?33 = 0 
F 
■ 5 B,)* 
, A 
r 34-’'34 + — a?34=0 
2 B,) 
!{<•..-!>•»}- 
to , 
33 + ^« 933 = 0 
3b,)< 
In,) 
» «,) 
i A 
^36 + — « 936 = 0 
r r ' 
3 1 , to, n 
^38 + - 1 a 9 j8 = 0 
. TO, a 
r 39 + — “939 = 0 
f* 
B,) S 
i A 
^40 — r 40 + - 1 a q w = 0 
f* 
{ r «-f r -} 
, Bt| (-4 
— r 41 + a 941 = 0 
. Wl. A 
• *42 H ' a 942 = 0 
