21 
new standards of weights and measures. 
taken, and thus the sum of the errors of the five avoirdupois 
pounds became known. Assuming one of these pounds 
(No. l. ) as a standard, each of the others was then compared 
with it, and their relative errors thus ascertained, from which, 
and the sum of the errors of the five avoirdupois pounds, the 
error of each was deduced. 
The following is a detail of the comparisons. 
The variation of the index was carefully ascertained to be 
one division for one-tenth of a grain. 
The sixTroy Pounds, 
Divisions. 
The 6 lb. weight. 
No. 1. Divisions. 
Difference 
Divisions. 
Mean. 
Difference 
in grains. 
— 0,4 
— 2,0 
— 1,6 
+ M 
+ 1,0 
- 1,0 
— 4,0 
— 2,1 
— 5 >° 
— 2,9 
—0,29 
— 1 >9 
- 5 >° 
- 3 >i J 
Added three-tenths of a grain to the 61 b. weight No. i. 
— 1,8 
—0,5 
+ *>3 1 
— 2,9 
— 4,8 
— 1,9 
■ 
— 5>7 
— i >7 
- 3>8 
— 2,3 
+ 1,9 
— 0,6 
> 
+ 0,2 
+ 0,02 
— 3>4 
— 2,7 
+ °>7 
— z >5 
— 2,6 
— 0,1 J 
By several trials one-tenth of a grain occasioned a varia- 
tion in the index of 0,7 of a division. 
