892 PROF.W. H. MILLER ON THE CONSTRUCTION OF THE NEW STANDARD POUND. 
By a mean of the 60 comparisons, 
91 0-00 143 grain in air (^= 19-97, b=757’28). 
The value of these observations is considerably diminished by the fact that B con- 
tained a small cavity filled with some hygroscopic substance, which renders its weight 
slightly variable. 
The following comparisons of V-)-0-03 grain with the sum of the auxiliary weights 
M, N, (32) were made with Robinson’s 10|-inch balance. 
H=M-l-N-f-(32)-l-0'45 grain, 
March 29? 1845. 100 parts= 0-290 grain. 
V+O-03 gr., S. 
S, V+0-03 gr. 
4-27 
3-05 
4-42 
3-05 
4-57 
3-20 
4-55 
3-25 
17*81 
12-55 
8V + 0-03gr.=8S-|-5'26 parts. 
V + 0-03 gr.= M + N + (32) + 0-451 91 grain = 192-43590 grains. 
i!(B- 1-V-1-0-03 gr.)=67"670, «;K=330'701, «;L = 330-750. Hence the volume of ^ 
at 0° is equal to the volume of 729-121 grains of water of maximum density. 
But e;^=751-014, hence — = volume of 21-893 grains of water at its maxi- 
mum density = volume of 0-02617 grain of air (^= 19-97, b=7b7‘28). Therefore 
^=K-l-L-fB-l-V-l-0-03gr.-f 0-02474 gr. K = 7000-00051 grains, L = 6999-99911 
grains, of which I contains 7000-00000. The best determination of the weight of 
B-l-V-1-0-03 gr. is that which was obtained in March 1846, in the process of comparing 
(15 with I. This gave B-f-V-TO-03 gr.=Z-}-0— 0 01250 gr., Z-}-©= 1432*33627 grs. 
Therefore B-l-V-|-0-03 gr.= 1432-32377 grains. Hence 91=15432-34813 grains. 
A similar comparison made in November and December 1845, but afterwards 
rejected on account of the quantity of hygroscopic matter contained in the auxiliary 
weights A, C, F, gave, — B-l-V-l-O’O3gr. = (I>-l-0+O-OlO55gr., 0-1-0= 1432-31313grs. 
Therefore B-l-V-|-0*03 gr.= 1432*32368 grains. Whence 91=15432*34804 grains. 
On the 29th of March, 1845, V-|-0-03 grain was compared eight times with 
M-{-N-1-(32)-)-0*45 grain, for the purpose of obtaining an approximate value of 
B-l-V-1-0-03 gr., to be used in the reduction of the weighings by which 91 was com- 
pared with K-l-L-l-B-l-V-1-0-03 gr. These comparisons gave V-l-0*03 gr.=M-l-N 
-b (32) -1-0-45 191 grain. Whence V-l-0*03 gr.= 192*43590 grains. By numerous 
comparisons of the auxiliary weights with each other and with T after its final 
reduction, in January and February 1845, B= 1239*88650 grains, of which T con- 
tains 5759*47141 and 1 contains 7000*00093. Hence B= 1239*88634 grains, of 
which T contains 5759*47067 and I contains 7000 * 00000 . Therefore B-l-V-l-0*03 gr. 
= 1432*32224 grains, and 91=15432*34660 grains. 
