126 Mr. Herschei/s account of a series of observations, &c. 
w = tti x ~ x ^ x r+"7 x “ • 
It would be needless refinement to enquire minutely how 
far this agrees with a strict calculation of probabilities. 
The result of the whole operation may then be briefly 
stated as follows : 
Day of 
Obs. 
A 
X 
y 
z 
T 
t 
W 
Wx (A— 9 m 21 8 ) 
18th. 
9 ra 21 S> 41 
3 
2 
6 
5 
6 
3 2 6 5 6 — ■ o'Q 1 
4 ’ 3 * 7 * 6 # 7 U ^ 1 
0-1271 
19th. 
9 21 *57 
3 
4 
8 
3 
3 
3 4 8 3 3 o - QO 
4 * 5 • 9 * 4 ‘ 4 * U 
0-1710 
21St. 
9 22 *06 
6 
6 
1 
4 
l 
6 6 1 4 jl fv! K 
7 ‘ 7 * 2 * 6 * 8 ° 1 ^ 
0-1590 
22d. 
9 21 *51 
7 
9 
4 
5 
5 
4 — ?— i i- i. 0’4(4i 
8 • I C • 5 * 6 • 6 u ^ 
0-2244 
Sum i-2o)o’68i5 (o'568=:mean. 
Most probable mean of the whole, so obtained - - - : 
Mean, similarly taken, but rejecting the results of the 18th and 21st 
as liable to suspicion ------- 
Arithmetical mean of all the four results - 
Arithmetical mean of the results of the four nights, obtained by the ' 
2d combination, or from Capt. Sabine’s and Mr. Herschel’s 
observations alone -------- 
Arithmetical mean of the 3d combination, or Col. Bonne’s and 1 
M. Largeteau’s observations taken separately J 
9 m 2i*-568 
9 21 -535 
9 2I ‘ 6 + 
9 21 70 
9 21-69 
On the whole then, 9 m 2T6 may be assumed as a result 
not very likely to be altered a whole tenth of a second, and 
very unlikely to be altered to twice that extent, by future 
determinations. 
J. F. W. HERSCHEL, 
London, November 2, 1825. 
