414 Capt. Kater’s experiments for determining the variation 
Results of the preceding Operations. 
It now remains to give in one view, the results of the ope- 
rations that have been detailed. These are comprised in the 
following table. It would have been desirable to have ex- 
pressed the length of the pendulum vibrating seconds, in parts 
of the scale which forms the basis of the Trigonometrical 
Survey of Great Britain, the Commissioners of Weights and 
Measures having agreed to recommend, that “ the standard 
“ used in the Trigonometrical Survey of Great Britain should 
“ be considered as affording the most authentic determination 
“ of the linear measure of the United Kingdom/’ But as 
experiments are yet wanting to enable me to do this with 
sufficient accuracy, I have given the length of the pendulum 
in parts of Sir George Shuckburgh’s standard scale, the 
correction for the difference between which, and the national 
standard of linear measure, may be readily applied hereafter. 
The length of the pendulum vibrating seconds in the latitude of 
London, is stated in the Phil. Trans, for 1818, to be 39,13860 
inches. But I have here to notice a very important omission , 
which I am obliged to -Mr. Troughton/o/* having pointed out in 
the first number of the Edinburgh Philosophical Journal. It may 
be seen that in computing the specific gravity of the pendulum, I 
have neglected to include the deal ends. Anxious to supply this 
omission in the most unexceptionable manner, I thought it 
best to take the specific gravity of the whole pendulum, and 
for this purpose requested Mr. Barton, Comptroller of his 
Majesty’s Mint, to allow me the use of the fine balance lately 
constructed under his directions, a request with which he 
