a Problem in physical Astronomy . 
553 
- 5 a/(i — 3;^) 
12 y 6 
* 7 \/( l —yy) 
12 y* 
-ss/it—yy) 
is 
± y ~ 6 + ~r* + 
12 
5 
12.2 
-i r^“ 4 + 
y ~ 2 
12 
7 
i 6 ^ 3 p 
“ 's^ + Te/ 
12.2 
5 
— jr-v 
+ 
+ • 
+ • 
+ • 
12.8 
5 
16.2 
3 
4 .8 
5 J LL- a , 1 &r 
‘ 12.8.16/ ’ 
+ 
12. l6 
7 , 7 _ 
12.16 
5 
+ 
+ 
y\ &c, 
I6X - /’ ^ 
29 
8.32 
To which add the 1 
other terms - J 
The sum is 
+ -hy ~ 6 + ry~ i -j- 2 y ~ 1 
* 
* 
* + 
67 
+ 
io 5 
192 1 512 
which exceeds the series above found, by the constant quantity 
We therefore now have 
192 
O l^=L 2 
~ [ 12 y b 12 jy 4 
+ -^r + 
5 
izy 
3 
sy 
i6yy 
1 
3 Z 77 
67 
192 
3 - 5-7 3 O' 3 ' 1 3 - 5 - 7 - 9 - 5 Z r 
* 4.6.8.10.6.4 * 
4. 6. 8. 4. 2 
3.5.7.9.11.7/ 
2 
. 3 - 5-7 3 ■ 3 - 5 - 7 - 9‘5 . 3 - 5 - 7 - 9-**-7 
’ 4, 6. 8. 4. 6.8. 10.6. 4~*~4. 6. 8, 10.12. 8. 6* * 
4.6.8: 10. 12.8.6" ’ anc * w ^en y becomes = 1, Q being then 
= o, and u — H. L. 2, this equation becomes 
H - L -*(i + £)] I = ^h.l. 
+ Az | [ 79 
1 12 ! 8 32 192J * 192 
which is the value of ^ in Art. 12. of the preceding paper. 
5. If the last literal equation be divided by y, and 
= be then taken from both sides, we shall have 
Q (:=X — A l— 
\ 12 y 1 12 y 5 i6y- 
+ 7 ^ 7 + 3 1 
+ “ hbi + 
8,7 s * 16 y 
67 
iz y 1 
8 / 
3 2 r 
192,7 
IQ 5 j 1 j 
512 J 
5 77 
+ 76 |,S 
■7W + 
4 32 
A7-2 . J_ 
8 7 + i6 
See Art. 2. 
4 B 
MDCCXCVIII, 
