IN THE OBSERVATORY OF GREENWICH. 
465 
Examining these observations, we have 
I. 
IV. 
II. 
III. 
Arcs 1.32 to 0.89 1.44 to 0.84 0.37 to 0.26 0.26 to 0.16 
Vibrations .... 
Correction for the arcs \ 
by the formula . . J 
86080.67 
+ 1.98 
86079.58 
+ 2.08 
86083.16 
+0.16 
86083.27 
+ 0.06 
Numbers which should agrees 
if the corrections computed I 
by the formula were a just j 
compensation . . . .J 
"V" 
-V' 
86082.15 
86083.32 
The inference here is again to the same effect. The multiplier required to 
produce accordance is 1.61. The corrections and the corrected vibrations 
then become 
I. & IV. II. & III. 
Corrections +3.27 +0.18 
Corrected vibrations 86083.39 
86083.39 
For a purpose foreign to the present object, the slider was on this day at 
1.75 inch from the middle of the pendulum towards the weight. 
The irregular going of the clock (which stopped altogether soon after the 
fourth series was completed) may have rendered the result of this day’s experi- 
ments of less value than that of either of the preceding days, in determining the 
amount of the multiplier. It was not until the 5th of May following, that, the 
clock being repaired and replaced, I w r as able to resume the inquiry by the 
following observations conducted in the same manner as before. The clock 
was making 86665.0 vibrations, on an average of several days at this period. 
3 o 2 
