COMPARISONS OF Sp, RS, K, ETC. 
771 
Let U, Sp, RS, &c. denote the apparent weights in air (^=65’66, &=29‘75) of the 
pounds U, Sp, RS, &c. 
Then,— 
In 1824. 
gr- 
No. of obs. 
gr. 
No. of obs. 
7 
K 
= Sp +0-0364 
9 
a 
Ex =U +0-0010 
16 
8 
RS 
= Sb +0-0026 
11 
h 
Ed =U -0-0015 
15 
9 
K 
= RS + 0-0299 
8 
c 
L =U +0-0005 
1.2 
10 
K 
= Sb +0-0336 
21 
d 
D =U +0-0022 
18 
11 
Ex 
= Sb +0-0117 
12 
e 
RM=U +0-0021 
20 
12 
K 
= Ex +0-0141 
12 
In 1829. 
Sp =U -0-0081 
RS =U —0-0030 
Sb =U -0-0103 
K =:U +0-0339 
13 
L 
= Sb +0-0188 
9 
f 
9 
h 
k 
300 
140 
60 
92 
14 
15 
16 
17 
18 
K 
Ed 
K 
D 
K 
= L +0-0108 
= Sb +0-0253 
= Ed + 0-0062 
= Sb +0-0287 
= D +0-0013 
9 
10 
10 
9 
14 
1 
RM = U +0-0089 
16 
19 
Sb 
= R +0-0074 
10 
In 1844. 
20 
K 
= R +0-0394 
10 
1 
T =Sp +0-0167 
16 
21 
L 
= Ex +0-0055 
12 
2 
T =RS + 0-0100 
16 
22 
Ed 
= Ex +0-0112 
12 
3 
RS =Sp +0-0064 
9 
23 
D 
= Ex +0-0140 
12 
4 
Sp =P -0-0013 
20 
24 
Ed 
= L +0-0078 
12 
5 
RS =P +0-0032 
12 
25 
D 
= L +0-0106 
11 
6 
Sp =Sb -0-0026 
12 
26 
Ed 
= D +0-0001 
10 
The results 11 and 12 appear to be considerably in error. 
The numbers in the first column in the following Table indicate the equations from 
which the results are deduced ; those in the last column express roughly the weights 
of the results, supposing all the observations to be equally good. 
gr. 
1,2 RS = Sp + 0’0067 
3 RS=Sp + 0-0064 
4.5 RS=Sp + 0*0045 
6.8 RS = Sp + 0-0052 
Mean ...RS=Sp + 0-0057 
gr- 
6 Sp=Sb— 0-0026 
3.8 Sp = Sb-0-0038 
7.10 Sp=Sb-0-0028 
Mean ...Sp = Sb-0-0030 
8 RS = Sb + 0-0026 
3.6 RS = Sb + 0-0038 
9.10 RS=Sb + 0-0037 
Mean ...RS = Sb + 0-0032 
7 K = Sp + ?0364 
3.9 K = Sp + 0-0363 
6.10 K=Sp + 0-0362 
Mean ...K = Sp + 0-0363 
1 
1 
1 
1 
2 
1 
1 
2 
1 
1 
2 
1 
2 
gr- 
9 K = RS + 0-0299 
2 
3,7 K = RS + 0-0300 
1 
8,10 K = RS + 0-0310 
2 
Mean ...K = RS + 0-0304 
6,7 
gr. 
K = Sb + 0-0338 
1 
8,9 
K=Sb + 0-0325 
1 
10 
K=Sb + 0-0336 
4 
11, 12 
K=Sb + 0-0258 
1 
13, 14 
K=Sb + 0-0296 
1 
19, 20 
K=:Sb + 0-0315 
1 
17, 18 
K = Sb + 0-0300 
1 
19, 20 
K = Sb + 0-0320 
1 
Mean, omitting the 4th result on account of the large 
difference between it and the others, 
K = Sb + 0-0324 
In 1829. 
In 1844.' 
gr- 
9 
RS 
= Sp 
+ 0-0051 
/, 
h 
Sp 
= Sb 
+ 0-0022 
9^ 
h 
RS 
= Sb 
+ 0-0073 
f 
k 
K 
= Sp 
+ 0-0420 
9^ 
k 
K 
= RS + 0-0369 
h, 
k 
K 
= Sb 
+ 0-0442 
gr- 
RS=Sp +0-0057 
Sp =Sb -0-0030 
RS=Sb +0-0032 
K =Sp +0-0363 
K =RS + 0-0304 
K =Sb +0-0324 
5 I 
MDCCCLVI. 
