GEODESICS Meaning and
Definition
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Geodesics refer to the shortest possible path between two points on a curved surface or a manifold. In the field of mathematics and physics, geodesics play a crucial role in a variety of disciplines, such as differential geometry, general relativity, and navigation systems.
In simple terms, geodesics can be understood as the "straightest" possible lines that exist on a curved surface. However, it is important to note that these lines are not straight in the conventional sense, as they follow the curvature of the surface. Geodesics can be thought of as the paths of minimal length or distance between two points on a curved or distorted space.
In mathematics, geodesics are extensively studied within the framework of differential geometry. They are often defined using the concept of a metric, which is a mathematical construct that measures distances and angles on a particular space. Geodesics can be defined as curves that minimize the length or functional of the metric between two given points.
In physics, geodesics find significant applications in the theory of general relativity. In this context, geodesics represent the paths followed by particles or light rays in a gravitational field. They are considered as the trajectories that particles and light would naturally follow in the absence of any external forces.
In summary, geodesics are the shortest paths on curved surfaces or manifolds. They are widely studied and applied in mathematics and physics, playing important roles in fields such as differential geometry and general relativity.
Common Misspellings for GEODESICS
Etymology of GEODESICS
The word "geodesic" is derived from two Greek words: "geo" meaning Earth, and "desic" meaning division or splitting. The combination gives the term "geodesic", which refers to the shortest distance between two points on a curved surface, such as Earth. It was coined by the German mathematician Bernhard Riemann in the 19th century. Today, the concept of geodesics is widely used in various fields, including mathematics, physics, and engineering.
Similar spelling words for GEODESICS
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