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Two points are antipodal (i.e., each is the Antipode of the other) if they are diametrically opposite.  Examples include
endpoints of a Line Segment, or poles of a Sphere.  Given a point on a Sphere with Latitude
 and Longitude 
, the antipodal point has Latitude 
 and Longitude 
 (where the sign is taken so that the result is between 
 and 
).
See also Antipode, Diameter, Great Circle, Sphere