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You need to show that if a place has
(latitude, longitude) = (p,q)
then its coordinates are
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Steps in the calculation
We need the distance l on the surface
between A and B.
First calculate the three-dimensional
coordinates of A and B from the latitude
and longitude of the two points.
Then calculate the distance 2d
(imagine a tunnel straight through
the earth from A to B) using
Pythagoras Theorem.
Use R, the radius of the Earth, and
d to find the angle q radians
where
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