Coordinate System - Polar Coordinate System

Another common coordinate system for the plane is the Polar coordinate system. A point is chosen as the pole and a ray from this point is taken as the polar axis. For a given angle θ, there is a single line through the pole whose angle with the polar axis is θ (measured counterclockwise from the axis to the line). Then there is a unique point on this line whose signed distance from the origin is r for given number r. For a given pair of coordinates (r, θ) there is a single point, but any point is represented by many pairs of coordinates. For example (r, θ), (r, θ+2π) and (−r, θ+π) are all polar coordinates for the same point. The pole is represented by (0, θ) for any value of θ.

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Other articles related to "coordinate system, coordinates, polar coordinate system, systems, polar, coordinate systems, coordinate":

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Polar Coordinate System - Applications - Modeling
... Systems displaying radial symmetry provide natural settings for the polar coordinate system, with the central point acting as the pole ... Systems with a radial force are also good candidates for the use of the polar coordinate system ... These systems include gravitational fields, which obey the inverse-square law, as well as systems with point sources, such as radio antennas ...
Polar Coordinate System
... Another common coordinate system for the plane is the Polar coordinate system ... A point is chosen as the pole and a ray from this point is taken as the polar axis ... single line through the pole whose angle with the polar axis is θ (measured counterclockwise from the axis to the line) ...
Coordinate Systems in Two-dimensional Spaces
... The most popular coordinate systems are the Cartesian coordinate system, the polar coordinate system and the geographic coordinate system ... Cartesian coordinate system Polar coordinate system Geographic coordinate system ...
Coordinate Conditions
... In other words, the real world does not care about our coordinate systems ... However, it is often useful to fix upon a particular coordinate system, in order to solve actual problems or make actual predictions ... A coordinate condition selects such coordinate system(s) ...

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