SPHERICAL GEOMETRY AND ITS APPLICATIONS
Keywords:
Spherical geometry, great circles, non-euclidean geometry,Abstract
Spherical geometry, a non-Euclidean branch of geometry, deals with the properties and figures on the surface of a sphere. Unlike planar geometry, it does not obey Euclid's parallel postulate. This paper investigates the foundational aspects of spherical geometry, illustrates its core theorems with mathematical formulations, and explores its real-world applications in fields such as navigation, astronomy, and geodesy. We also provide graphical representations to distinguish spherical constructions from their Euclidean counterparts.
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