new standards of weights and measures. 



21 



taken, and thus the sum of the errors of the five avoirdupois 

 pounds became known. Assuming one of these pounds 

 (No. 1. ) 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 

 ingrains. 



— 0,4 

 + 1,1 

 + i,o 



— 1,9 



— 2,0 



— i,o 



— 4,0 

 -5,0 



— 2,9 



0,29 



Added three-tenths of a grain to the 6 lb. weight No. i . 



1,8 

 2,9 

 S'7 



3>4 



2>5 



•0.5 

 ■4,8 



3>8 

 2,3 

 2,7 

 2,6 



+ 1^3 



— 1,9 



+ 1,9 



— 0,6 



+ 0.7 



— o,i 



J 



r T ' x'i 



+ 0,2 



+ 0,02 



By several trials one-tenth of a grain occasioned a varia- 

 tion in the index of 0,7 of a division. 



