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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. 
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So define... 

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