2 66 Mr. J. F. W. Herschel on the aberrations of 
28. Instituting similar computations for the variation of y! 
from 1*585 to i'6oo, we shall obtain the following results. 
Table 9. Values of r ,r ,r ,r 
1 2 3 4 l 
=1-524 
lx — i-6do 
zj zn 
r = 
1 
r = 
2 
r 3 ~ 
r = 
4 
q q 0 
0 \'-n *-n 
O 'J-i O 
+ 1-4830 
1 -4888 
1-4898 
— 2 ' 333 8 
2 752 1 
3-2812 
—2-3926 
2-7627 
3*2474 
—0-7259 
0-7257 
07438 
o - 65 
070 
1-4814 
1-4546 
3 97 ii 
4 9066 
3-8938 
4*7534 
0-7986 
0-8945 
075 
1 *3953 
6-2383 
6-0597 
1-0597 
Table 10. Values of the radii ^ ^ , 1 
l 1 600 
ZJ HZ 
R = 
1 
R = 
2 
R = 
3 
R = 
4 
0 »o 
boo 
+ 6 - 743 1 
6-7168 
6-7125 
— 4.2849 
3 ' 6 33 5 
3 °477 
— 4**795 
3-6196 
3-0794 
— J 3-7754 
137803 
13-4448 
0 65 
070 
6-7503 
6-8747 
2-5182 
2-0381 
2-5682 
2-0906 
12-5224 
i *-1799 
075 
7-1668 
1-6030 
1-6503 
94375 
Table 11. Coefficients of the equation ( z ) for correcting the spherical aberration 
of rays parallel to the axis ^=1-524, //=r6oo. 
0 0 1 
L/1 UlO 
bob 
II 
h 
2-3123 Xr 1 
2-3123 
2-3123 
— 15-4505 
— 17-1671 
— 19-3130 
+ 31-4462 X/ 2 
+ 38 8263 
+ 49-0798 
+ 3 0000x7/ 
+ 3-2389 
+ 3-4500 
— 1-1250 x/ 2 =o 
— 1*2375 
— 1-3500 
0-65 
0-70 
2-3123 
2-3123 
— 22*0720 
—25-7503 
+ 63-8984 
+ 86-4534 
+ 3-6214 
+ 3-7333 
— 1-4625 
— 1-5750 
0-75 
2-3123 
—30-9007 
+ 123-3404 
+ 3-7500 
—1-6875 
