14 
dz 0 = 
n 
(37) 
ds \_Xdx] + [Zdz~\ 
s~ [XX] + [ZZ] 
(38) 
[Zdx] — [2fJz] 
dx = — 
[XX] + [ZZ] 
(39) 
The sum of the squares of the residuals is 
M = [dx 2 ] + [dy 2 ] 
[dx] 2 + [dzf ([Xdx] + [Zdz]) 2 +([Zdx] - [Xdz]) 2 
[XX] + [ZZ] 
The standard error of unit weight is then 
So — 
! CH 
2n — 4 
The standard error of the standard error of unit weight is 
(40) 
(41) 
S ° ]/ 2(2n —4) 
The weight numbers of the corrections (36) to (39) are 
All correlation numbers are zero. 
(42) 
Q z ozo n 
(43) 
1 
Q KK [ XX -j + [ ZZ -] 
(44) 
The weight numbers of corrected coordinates not used in the adjust 
ment, are 
Qv x v x Qv z v z 
n +1 X 2 + Z 2 
~V~ + [xx-] + [zz] 
(45) 
The standard errors of corrected coordinates can then be found in the 
usual way.