The change in coordinates for each observation is expressed in the following Taylor series approximations of the angle observation equation: 
where 
- Lij = the observed length of line IJ 
 
- Lik = the observed length of line IK 
 
- Lik = the observed length of line IK 
 
- Xi, Yi = the most probable coordinates of point I 
 
- Xj, Yj = the most probable coordinates of point J 
 
- Xk, Yk = the most probable coordinates of point K 
 
The following illustration shows the geometry of the angle observation equation: