A geographic coordinate system is a coordinate system In mathematics and its applications, a coordinate system is a system for assigning an n-tuple of numbers or scalars to each point in an n-dimensional space. This concept is part of the theory of manifolds. "Scalars" in many cases means real numbers, but, depending on context, can mean complex numbers or elements of some other commutative that enables every location on Earth to be specified in three coordinates, using mainly a spherical coordinate system In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a point is specified by three numbers: the radial distance from a fixed origin, the elevation angle of that point from a fixed plane, and the azimuth angle of its orthogonal projection on that plane, from a fixed direction on the.
The Earth is not a sphere A sphere is a perfectly round geometrical object in three-dimensional space, such as the shape of a round ball. Like a circle in two dimensions, a perfect sphere is completely symmetrical around its center, with all points on the surface lying the same distance r from the center point. This distance r is known as the radius of the sphere. The, but an irregular shape approximating an ellipsoid An ellipsoid is a type of quadric surface that is a higher dimensional analogue of an ellipse. The equation of a standard axis-aligned ellipsoid body in an xyz-Cartesian coordinate system is; the challenge is to define a coordinate system that can accurately state each topographical point as an unambiguous tuple In mathematics and computer science a tuple captures the intuitive notion of an ordered list of elements. Depending on the mathematical foundation chosen, the formal notion differs slightly. In set theory, an n-tuple is a sequence (or ordered list) of n elements, where n is a positive integer. There is also one 0-tuple, which is just an empty of numbers.[1]
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