What is Trilateration?
measurement of a series of distances between points on the surface of
the earth, for the purpose of establishing relative positions of the
points in surveying.
Trilateration is a method for
determining the intersections of three sphere surfaces given the centers
and radii of the three spheres. huerm....... my gps device so brilliant... math-power.....
See this diagram.....
We start with the equations for the three spheres
We need to find a point located at (x, y, z) that satisfies all three equations.
First we subtract the second equation from the first and solve for x:
this back into the formula for the first sphere produces the formula
for a circle, the solution to the intersection of the first two spheres:
Substituting : into the formula for the third sphere and solving for y there results:
that we have the x- and y-coordinates of the solution point, we can
simply rearrange the formula for the first sphere to find the
All this calculation has been made and use by our GPS to do tracking
Diagram credit: Wikipedia
Source taken from :
FauSham @ Malaysia & Singapore Free Maps - MalFreeMaps
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