IMPERIAL STANDARD TROY POUND WEIGHT. 
493 
Reduction of the 
U supposed of Brass. 
log m = 3-76042 log m — 3-76042 
logS = 1-47430 logS = 1-47430 
(Tab.II.)log/3 = 5-60775 (Tab. I.) log a = 4-70512 
(Tab.V.) logR 3 = 0-00022 
e 9-93984 
lo S-^-= 8-67392 mSa = 0-87064 
9-51661 
,R 3 
mb ft — = 0"32856 
' A 
RS 
ml ft— — mb a = 0-32856 - 0’87064 = - 0-54208 
A 
m = 5759-99795 
M = 5759-45587 nearly. 
The logarithm of M is 3" 76038, four unities in the 
fifth decimal less than log m. We obtain by putting, 
as before, log M in the place of log m. 
log M S /3 ^ = 9-51657 
P 3 
MS/3 — = 0-32852 
' A 
RS r 3 
Mb ft — — mb ft— = 0-32852 — 0-87064 = — 0-54212 
A d 
m — 5759-99795 
Correct value of M = 5759-45583 
R3 
mb ft — as before 
1 A 
= 0-32856 
weighings of RS. 
U supposed of Copper. 
log m = 3’ 7 6042 
log S = 1-47430 
(Table II.) log ft = 5-60775 
(Table IV.) log r 3 = 0-00042 
log-1 = 9-05611 
9-89900 
mb ft— =0-79251 
c 
P 3 r 3 
mb ft— — mb 1 3 -V = 0-32856 - 0-79251 = - 0-46395 
A o 
m = 5759-99795 
M = 5759 - 53400 nearly. 
The logarithm of M is 3-76039, three unities in the 
fifth decimal less than log m. We obtain by putting, 
as before, log M in the place of log m, 
RS RS 
log M S ft il = 9-51658 M S ft ^ = 0-32853 
R3 r 3 
Mb ft— — mb ft 4^ = 0-32853-0-79251 = -0-46398 
'a <5 
m — 5759-99795 
Correct value of M = 5759-53397 
Reduction of the 
U supposed of Brass. 
log m = 3‘76042 log m - 3' 76042 
log S = 1-47245 
(Tab. I.) log a = 4-70497 
c = 0-00033 
logS = 1-47245 
log u = 4-70497 
9-93817 
0-86730 
m b a 
9-93784 
0-86664 
R3 
m b ft - — as before 
A 
, T R 3 
mb j) — - 
A 
„ R3 
mb ft- wSa= 0-86730-0-86664 = +0-00066 
A 
m =5760-00887 
M =5760-00953 
The logarithm of M is 3’76042, the same as that of m, 
so that it is not necessary to repeat the calculation with 
log M. 
weighings of RM. 
U supposed of Copper. 
log m = 3-76042 
log S = ] -47245 
= 0-86730 (Table II.) log ft = 5-60760 
(Table IV.) log r 3 = 0-00042 
log-1 = 9-05611 
0 
9-89700 
mb! 3 -y = °’78S86 
mbft V — - mb ft— =0-86730-0-78886=4-0-07844 
A C 
m = 5 7 60*0088 7 
M =5760-08731 nearly. 
The logarithm of M is 3-76043, by one unity in the 
fifth decimal greater than log m. We obtain by using, 
as before, log M instead of log m, 
log M 6/3— = 9-93818 M S/3 — = 0-86732 
6 ' A A 
MS/3— -mb ft — =0-86732-0-78886= +0-07846 
A S 
m =5760-00887 
Correct value of M =5760 08733 
