IN THE OBSERVATORY OF GREENWICH. 467 
the multiplier, to be employed in computing the compensations for the arcs 
in the experiments with the weight above, to be hereafter related, we may 
infer with probability that we employ a more correct multiplier than either 
1.3 or 1.5. Now, if either of those numbers were substituted for 1.4, the 
effect would be to alter the rate of the pendulum with the weight above, as 
deduced from the experiments in the succeeding pages, one tenth of a vibra- 
tion per diem. To correct the influence of this tenth of a vibration on the 
convertibility (the object for which the pendulum is vibrated with the weight 
above), the slider would require to be moved a certain quantity, which would 
alter the final deduction of the rate, due to the distance between the axes of 
suspension, less than one hundredth of a second per diem. In employing 1.4 
therefore as a multiplier, any uncertainty in the final result, arising from this 
cause, is limited in all probability to less than .01 of a second per diem. 
§ 2. Weight below. 
On the 31st of January and 1st of February 1830, I made the following ob- 
servations, for the purpose of ascertaining the compensation for the arcs when 
the weight was below. The clock, by Dent, was making 86313.3 vibrations. 
The clock had been stopped on the 30th of January, and was stopped again 
on the 1st of February, to alter its pendulum. The rate was assigned by com- 
parison with the transit clock during the two days it was going - . 
52 
o 
S 
< V 
to 
3 
Times of 
Arcs. 
Mean 
Gauge. 
Mean 
Interval. 
Reductions 
! Vibrations 
per diem. 
Z O 
-C 
H 
cU 
a 
Disapp. 
Reapp. 
Coincidence. 
Temp. 
to 30°. 
to a Va- 
cuum. 
1 
o 
in. 
m s 
16 00 
m s 
16 35 
h m s 
9 16 17.5 \ 
9 28 37 / 
1 22 51.51 
° o 
f 29.9 
J + 0.75 
't 
in. 
% 
2 
21 
30.3 
29.5 
1.20 
1.30 
28 19 
22 25 
28 55 
23 18 
0.40 x 1.05 = 0.42 
1.25 
739.8 
+ 0.29 
+ 0.52 
86080.77 
22 
34 49 
pulse. 
35 41 
1 35 15 / 
0.23 x 1.05 = 0.24 
l 30.65 
Fre 
sh im 
1 
39 
29.5 
28.0 
1.30 
1.40 
49 28 
36 18 
49 36 
36 48 
1 49 32 
9 36 33 
1.25 x 1.05 = 1.31 
0.50 x 1.05 = 0.52 
f 28.75 
^ + 0.75 
1.35 
737.4 
-0.22 
+ 0.56 
86079-54 
L 29.50 
C 28.20 
88 
28.4 
1.52 
41 48 
43 26 
19 42 37 
0.14 x 1.05 = 0.15 
.J + 0.75 
1.46 
742.12 
-0.46 
+ 0.61 
86080.81 
L 28.95 
