86 Capt. Kater’s experiments for determining the 
The results of such of the preceding experiments as are to 
be used for calculating the length of the seconds pendulum, 
are brought under one view in the following table : 
Expt. 
Temp. 
Barom. 
No. of vibrations. 
Diff. 
No. of vibrations. 
Vibs.in excess 
the slider 
Great wt. above. 
Great wt. below. 
or defect. 
23 
A 
68,7 
29,76 
86059,39 
>°3 
86059,42 
— 
*3 
B 
7 l >3 
29,86 
86057,70 
86057,93 
— 
2 3 
C 
71,4 
29,86 
86057,93 
>23 
86057,70 
+ 
2 3 
D 
7 b- 1 
29,95 
86056,54 
>43 
86056,97 
Pendulum re-measured. 
21 
F. 
6 9>3 
29,70 
86058,88 
,06 
86058,94 

20 
F 
69>3 
29,70 
86058,89 
,12 
86059,01 
— 
20 
G 
68,5 
29,70 
86039,03 
,19 
86059,22 
— 
18 
H 
68,7 
29,70 
86059,36 
,1 1 
86059,25 
+ 
18 
I 
69>3 
29,70 
86059,19 
,16 
86058,93 
'+ 
18 
K 
6 9>3 
29,70 
86059,14 
> 3 i 
86058,83 
+ 
j *9 
L 
68,1 
29,90 
86059,26 
,04 
86059,22 
+ 
•9 
M 
68,4 
29,90 
86059,17 
,04 
86059,21 
— 
Mean 
86058,71 
86058,72 
No other explanation of this table appears to be necessary, 
than that the column entitled “ Difference " expresses the 
difference between the number of vibrations in the two posi- 
tions of the pendulum, and that the last column indicates by 
the sign -j- or — whether the number of vibrations exceeds 
or falls short of the truth ; which inference is drawn from a 
comparison of the number of vibrations when the great 
weight is above, with the number in that position of the pen- 
dulum when the great weight is below. The mean of the 
vibrations in the column “ Great weight above” not differing 
sensibly from that headed “ Great weight below” is a proof 
that the number of vibrations in either position of the pendu- 
lum may be considered as equal, and consequently that the 
