
 
  
  
 Thus we consider here small displacements on the surface of the earth.
Consider a point r on the surface of the earth. 

Consider two points r_1 and r_2, which lie on the surface of the earth, near r. 
 
So define... 

As the  's are small we have:-
's are small we have:- 

Thus from the equation's of the spheroid we have :- 

Similarly for the second displacement we have... 

The cos of u, the angle between these two displacements can be calculated from the
scalar product... 

The length of the displacements are :-... 
