A lot of theorems from classical geometry hold accurate for spherical geometry also, although not all do because the sphere fails to fulfill a number of classical geometry's postulates, including the parallel postulate.
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The intersection of the sphere and also a plane is usually a circle, some extent, or vacant.[18] Excellent circles would be the intersection of the sphere by using a plane passing from the Centre of a sphere: Some others are known as little circles.
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Diameters would be the longest line segments that could be drawn between two points within the sphere: their duration is two times the radius, d = 2r. Two factors over the sphere connected by a diameter are antipodal points Journasphere news of each other.[three]
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