ON THE GAUSSIAN CONSTANTS. 
377 
Third Report on the Calculation of the Gaussian Constants for 1829. 
By A. Krman and H. Petersen. 
1 h the last table of the 24 final equations corresponding to the whole of the 
610 primary equations, the following errors made by slight mistakes and 
found by a last and most general revision aro thus to be corrected:— 
Id the 
&th euoation, 
1st column, 
read -P335‘56 
instead of +273-31. 
it 
ath 
It 
loth 
ff 
+f)C-C465dj*'» 
99 
+5G-4365Aj»>h 
U 
6lh 
tl 
1st 
99 
-2803-90 
99 
-2800,28. 
n 
8tb 
M 
1st 
ft 
-I-3166-33 
99 
+3152-00. 
9th 
If 
20tli 
99 
-I-41-8173 dA*'‘ 
99 
+20-1949 AA*'*. 
n 
KHh 
If 
18th 
99 
-|-132'G097 
99 
+ 10-7809 AjS-o. 
14th 
It 
Ist 
if 
-40-87 
19 
-103-65. 
n 
17th 
It 
nth 
ft 
+132-0097 
99 
+10-7809 
It 
IBth 
II 
6th 
ft 
+66-6465 AA<'2 
99 
+56-4365 
If 
19th 
tt 
1st 
tt 
+466Mi 
99 
+4645-81. 
II 
19th 
ft 
10th 
9 t 
+41-8175 
99 
+20-1949 AAH 
If 
2ht 
tl 
1st 
ft 
+90-09 
tf 
+73-16. 
tl 
23rd 
tf 
Ist 
99 
+677-79 
tt 
+737-79. 
resolving the thus corrected 24 equations, tho following values for the 
*^orrectiojjs of the Gaussian constants are derived 
- 67-058 
+ 15-981 
+ 125-952 
+ 9-869 
- 51-589 
Ay=-* = 
+ 144-650 
- 159-034 
V'=- 
- 150-209 
AA»-‘ = 
- 93 -OOi 
- 130-273 
+ 182-613 
- 10-994 
- 133-462 
V»“ 
+ 64-126 
AA«=. 
- 48-402 
- 64-635 
AA«- 3 « 
+ 114-517 
Affl.o = 
- 80-900 
+ 36-502 
Ao2.S»r 
+ 37-554 
Aflrin* 
- 54-630 
+ 5-121 
AAM* 
- 21-389 
AA>-1- 
+ 10-328 
mean error for one of the filO primary equations having 
Q,. it will now, by applying the above-mentioned corrections to the 
•constants, be reduced to 20*8. 
Tl 
"eights of some of those corrections are, for instance,— 
ofAA'-'-S.]^ ofA^»*‘=6-5, of A<?<‘'’=8*3, of AA'-*=28*1, 
the mean error:— 
for for a^.“= 7*2, for AA'''=3*9. 
**** ^ompare the old errors of the primary equations called "'hh 
errors after the substitution of the new values of t e 
