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Cartesian coordinate system

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Cartesian coordinate system

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Also known as Cartesian coordinates

coordinate system that specifies each point uniquely by a pair of real numbers called coordinates

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A Cartesian coordinate system is a way to pinpoint any location on a flat surface by using just two numbers, called coordinates. This system matters because it provides a simple, universal method for describing positions precisely, which is essential for everything from mapping and navigation to mathematics and computer graphics.

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Cartesian coordinates
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Illustration of a Cartesian coordinate plane. Four points are marked and labeled with their coordinates: (2, 3) in green, (−3, 1) in red, (−1.5, −2.5) in blue, and the origin (0, 0) in purple.

In geometry, a Cartesian coordinate system ( UK: /kɑːrˈtiːzjən/, US: /kɑːrˈtiːʒən/) in a plane is a coordinate system that specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, called coordinate lines, coordinate axes or just axes (plural of axis) of the system. The point where the axes meet is called the origin and has (0, 0) as coordinates. The axes directions represent an orthogonal basis. The combination of origin and basis forms a coordinate frame called the Cartesian frame.

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