Pilots and captains of ship use spherical geometry to navigate their working wheel to move it. They can measure their pathway and destiny by using Spherical Geometry.
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There is a beautiful proof of Euler's Therom, using the area of the sphere and spherical geometry.
The first recorded study of spherical geometry was by Autolycus of Pitane, in the 4th century BC.
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It is the geometry of a sphere as well as of shapes on the surface of the sphere.
No, both spherical and hyperbolic geometries are noneuclidian.