THIRD COMPARISON OF AUXILIARY WEIGHTS. 
829 
August 22, 1845, Jan. 17, 1846. 100 parts =0'4096 grain. 
W, V+lOQ. 
V+lOQ, W. 
V, lOQ. 
lOQ, V. 
3*29 
3*65 
3*45 
3*62 
3*30 
3*56 
3*42 
3*47 
3*29 
3*56 
3*37 
3*41 
3*32 
3*61 
3*44 
3*38 
3*25 
3*60 
3*45 
3*46 
3*30 
3*59 
3*37 
3*50 
19*75 
21*57 
20*50 
20*84 
2V-|-20Q= 
2VV + 0*00124 grain. 
40Q= 4 V + 0*00046 grain. 
gr- 
Y + Z 
= 39*99654 
2W + 2V + 2Q 
= Y + Z- 0*00258 
2V + 20Q 
= 2W + 0*00124 
40Q 
= 4V + 0*00046 
62Q 
= 39*99566 
Q 
= 0*64509 
Let (64), (32), (16), (8), (4), (2), (1) denote platinum weights belonging to Bar- 
row’s balance, 2J the sum of two platinum grain weights belonging to Robinson’s 
balances, G a brass grain weight. 
April 11, 1845. 100 parts =0*29261 grain. 
K, 
r64)+(i6) 
2*47 
(64) + (l6),K 
4*82 
L, 
(64) + (i6) 
1*88 
(64) + (l6), L 
5*45 
M, 
(64) + (16) 
2*44 
(64) + (l6j, M 
4*80 
N, 
(64) + (16) 
2*70 
(64) + (l6), N 
4*35 
R + S, 
(64) + (i6) 
2*32 
(64) + (l6), R + S 
4*85 
K, 
(64) + (l6) 
2*30 
(64) + (l6), K 
4*65 
L, 
(64) + (l6) 
1*80 
(64) + (l6), L 
5*32 
M, 
(64) + (l6) 
2*42 
(64) + (l6), M 
4*60 
N, 
(64) + (l6) 
2*65 
(64) + (l6), N 
4*29 
K + S, (64^ + (16^ 
2*35 
(64) + (l6), R + S 
4*61 
23*33 
47*74 
gr- 
5[(64) + (l6)] 
= K + L + M + N + R + S+ 0*01786 
K+L+M+N 
= 4(R + S) 
- 0*00079 
K + L + M + N + R + S=5(R + S) 
— 0*00079 
5(R + S) 
= 
399*96290 
K+L+M+N+R+S= 
399*96211 
5[(64) + (l6)] 
399*97997 
(64) + (l6) 
“ 
79*99599 
1845. 
100 parts =0*29485 grain. 
Scale. 
Scale. 
R, (32) + (8) 
2*310 
(32) + (8), R 
3*675 
S, (32) + (8) 
2*640 
(32) + (8), S 
3*650 
R, (32) + (8) 
2*550 
(32) + (8), R 
3*675 
S, (32) + (8) 
2*675 
(32) + (8), S 
3*650 
R, (32)+(8) 
2*775 
(32) + (8), R 
3*725 
S, (32) + (8) 
2*860 
(32) + (8), S 
3*875 
R, (32) + (8) 
2*660 
(32) + (8), R 
3*790 
S, (32) + (8) 
2*825 
(32) + (8), S 
3*790 
21*295 
29*830 
16[(32) + (8)] = 8(R-1-S) + 0*02517 grain. 
5 Q 2 
