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The latitude of a point on a sphere is the elevation of the point from the plane
of the equator. The latitude is related to the colatitude (the polar angle in spherical coordinates) by .
More generally, the latitude of a point on an ellipsoid
is the angle between a line perpendicular
to the surface of the ellipsoid at
the given point and the plane of the
equator (Snyder 1987).
The equator therefore has latitude , and the
north and south poles have latitude , respectively.
Latitude is also called geographic
latitude or geodetic latitude
in order to distinguish it from several subtly different varieties of auxiliary latitudes.
The shortest distance between any two points on a sphere is the so-called great circle distance,
which can be directly computed from the latitudes and longitudes
of the two points.
Snyder, J. P. Map Projections--A Working Manual. U. S. Geological
Survey Professional Paper 1395. Washington, DC: U. S. Government Printing Office,
p. 13, 1987.
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