492 
PROFESSOR SCHUMACHER ON THE LATE 
Redaction of the weighings of S. p . 
U supposed 
of Brass. 
log m = 3-76042 
log m = 3 "76042 
log b = 1-47308 
log b = 1-47308 
(Tab. II.) log/3 = 5-60784 
(Tab. I.) log a = 4-70522 
(Tab. V.) log R 3 = 0-00022 
9-93872 
log -L = 8-67392 
6 A 
mb a — 0" 86840 
U supposed of Copper. 
R 3 
mb (3 — as before 
log m = 3-76042 
A 
log b = 1-47308 
= 0-32770 
log (3 = 5-60784 
(Table IV.) log r 3 = 0'00042 
log 4- = 9-05611 
0 
9-51548 
R 3 
mb (3 — 0-32770 
A 
mb 3— -mb a- 0-32770 - 0-86840 = - 0'54070 
' A 
m = 5759-99143 
M = 5759-45073 nearly. 
The logarithm of M is 3-76038, four unities in the 
fifth decimal less than log m. We obtain by using, as 
before, log M instead of log m, 
log M 6/3— = 9*51544 M b (3 = 0-32767 
MJ/3- -mb a- 0-32767 - 0-86840 = - 0-54073 
' A 
m — 5759-99143 
Correct value of M = 5759-45070 
9-89787 
mb (3 ~ = 0-79044 
6 
mb (3— - m b (3~ =0-32770-0-79044 = -0-46274 
A c 
m = 5759-99143 
M = 5759"52869 nearly. 
The logarithm of M is 3-76039, three unities in the 
fifth decimal less than log m. We obtain by using, as 
before, log M instead of log m, 
R 3 R3 
logM6/3 — = 9"51545 Mb 3 — = 0-32768 
6 ' A r A 
R 3 »* 3 
Mb/3— —mb/ 3 = 0-32768 — 0-79044 = — 0-46276 
A $ 
m = 5759-99143 
Correct value of M = 5759-52867 
Reduction of the 
U supposed of Brass. 
log m = 3"76042 
log m = 3"76042 
log b = 1-47661 
log b = 1-47661 
(Table I.) log a = 4-70615 
log a = 4"70615 
9-94318 
9-94318 
c = 0-01220 
mb a — 0-87736 
S-93098 
R 3 
m b 13 — = 0-85306 
A 
R3 
mb (3 — - — mb a = 0"85306 
' A 
- 0-87736 = - 0-02430 
m = 5759-98966 
M = 5759-96536 
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 S. b . 
U supposed of Copper. 
, „ R 3 , , log m = 3-76042 
mb b — as before 
A log b — U47661 
= 0-85306 (Table n .) log /3 = 5-60880 
(Table IV.) log r 3 = 0-00040 
log JL = 9 05611 
9-90234 
mb (3^ = 0*79862 
mb/3 — -m/3— = 0-85306 - 0-79862 = + 0-05444 
A 8 
m = 5759-98966 
M = 5760-04410 
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. 
