LXXIV PHILOSOPHICAL SOCIETY OF WASHINGTON. 
}-oz. weight = 2a. 
MOR Hip tee Ax. ° 
1S 8x. 
DOS. Faso, 1k 
4oz, “ = 32¢-+ 3 grain. (8) 
POOL) cee Sty, OME rete ee 
16-oz. “ = 128%- 2 grains. 
32-02. °) 0" SS Zobs so 
i ei ——TANE EY fe eS a 
128-07. 0" | = 1024¢--27 
256-02..." » == 20468 --1b 
Summing the various columns 
512 ounces = 40962 + 54 grains 
whence 
x = t ounce — 0°01318 grains, (4) 
and by substituting that value in the equations (8) we obtain the 
corrections given for the several weights in the second column of 
Table If. The third column contains the corrections which result 
upon the Committee’s assumption that the sum of the eight and four 
ounce weights was one and one-quarter grains too light; and the 
fourth and fifth colums contain corrections given by Mr. Chisholm 
in his seventh annual report.’ Mr. Chisholm does not explain how he 
obtained the corrections quoted in the fourth column of the table, but 
their close agreement with those in the third column renders it 
almost certain that they were computed from the comparisons made 
by Messrs. Freeman and Reed. As the Committee of 1758 used 
Mr. Harris’ weighings to the exclusion of those by Messrs. Freeman 
and Reed, the adoption of the opposite course by Mr. Chisholm is 
perhaps explained by the circumstance that in his report on the 
Exchequer standards’ he has quoted the weighings by Messrs. Free- 
man and Reed and has attributed them to Mr. Harris. 
In addition to being less exact, the weighings by Mr. Freeman 
differ from those by Mr. Harris principally in the sign of the cor- 
rection to the 32-ounce weight ; the former stating that the 32-ounce 
weight was lighter than the sum of all the smaller weights, and the 
latter that it was heavier. To ascertain which was right we have 
148, p. 21. 748, p. 11. 
