466 
CAPTAIN SABINE ON THE LENGTH OF THE SECONDS PENDULUM 
O •- 
1 
2 
3 
20 
21 
22 
1 
2 
3 
21 
22 
23 
0 
111. 
56.5 
2.1 
56.7 
2.1 
o 
5 7-0 
57.1 
57-6 
57.6 
2.1 
2.1 
Times of 
Arcs. 
Disapp. 
lleapp. 
Coincidence. 
Ill s 
m s 
h m s 
0 0 
53 31 
53 33 
2 53 32 "1 
58 21 
58 25 
2 58 23 > 
1.36x1.05 = 1.43 
03 13 
03 15 
3 03 14 J 
25 39 
25 43 
4 25 41 "I 
30 31 
30 35 
4 30 33 
0.93x 1.05=0.98 
35 23 
35 25 
4 35 24 J 
pulse. 
47 36 
47 43 
4 47 39.5-] 
52 29 
52 35 
4 52 32 V 
0.24 x 1.05 = 0.26 
57 21 
57 27 
4 57 24 J 
25 06 
25 13 
6 25 09.5"] 
30 56 
31 05 
6 30 00.5 7 
0.18x1.05 = 0.19 
34 49 
34 57 
6 34 53 J 
Mean 
Temp. 
1 56.60 
1 + 0.75 
J 57.35 
1 
57-32 
+ 0.75 
J 58.07 
Mean 
Gauge. 
Mean 
Interval. 
Reductions 
Vibrations 
per diem. 
to 58°. 
to a Va- 
cuum. 
in. 
2.10 
291.035 
-0.29 
+ 0.96 
86065.61 
2.10 
292.46 
+ 0.03 
+ 0.96 
86068.85 
Examining these observations, we have I. 
Arcs 1.43 to 0.98 
Vibrations 86065.61 
Correction for the arcs by the formula +2.35 
II. 
0.26 to 6.19 
86068.85 
+ 0.08 
Numbers which should agree if the 4 
corrections computed by the for- > . 86067.96 86068.93 
mula were a just compensation . J — — - — - ~ ■ 
The inference is the same as on the former occasions. The multiplier is in 
this instance 1 .42, and the corrections and corrected vibrations become 
Corrections 
Corrected vibrations 
+ 3.34 +0.11 
86065.61 86068.85 
86068.95 86068.96 
If now we collect in one view the different multipliers which have been 
found from these four series of experiments, we have January 27, 1.36; 
January 29, 1.32 ; February 3, 1.61 ; May 5, 1.42 : of which four results, that 
of February 3rd (1.61), from the unfavourable circumstances of the experi- 
ments in the irregular going of the clock already noticed, is least entitled 
to confidence. The arithmetical mean of the four is 1.43; and that of the 
three, omitting the result of February 3rd, is 1.37. If then we take 1.4 as 
