What does Cartesian coordinate mean?
Definitions for Cartesian coordinate
carte·sian co·or·di·nate
This dictionary definitions page includes all the possible meanings, example usage and translations of the word Cartesian coordinate.
Princeton's WordNet
Cartesian coordinatenoun
one of the coordinates in a system of coordinates that locates a point on a plane or in space by its distance from two lines or three planes respectively; the two lines or the intersections of the three planes are the coordinate axes
Wiktionary
Cartesian coordinatenoun
The coordinates of a point measured from an origin along a horizontal axis from left to right (the x-axis) and along a vertical axis from bottom to top (the y-axis). This can be extended to three-dimensions by the z-axis perpendicular to the x- and y-axes.
Wikipedia
cartesian coordinate
A Cartesian coordinate system (UK: , US: ) in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines called coordinate line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is the origin and has (0, 0) as coordinates. Similarly, the position of any point in three-dimensional space can be specified by three Cartesian coordinates, which the signed distances from the point to three mutually perpendicular planes. In general, n Cartesian coordinates specify the point in an n-dimensional Euclidean space for any dimension n. These coordinates are the signed distances from the point to n mutually perpendicular fixed hyperplanes. Cartesian coordinates are named for René Descartes whose invention of them in the 17th century revolutionized mathematics by providing the first systematic link between geometry and algebra. Using the Cartesian coordinate system, geometric shapes (such as curves) can be described by equations involving the coordinates of points of the shape. For example, a circle of radius 2, centered at the origin of the plane, may be described as the set of all points whose coordinates x and y satisfy the equation x2 + y2 = 4. Cartesian coordinates are the foundation of analytic geometry, and provide enlightening geometric interpretations for many other branches of mathematics, such as linear algebra, complex analysis, differential geometry, multivariate calculus, group theory and more. A familiar example is the concept of the graph of a function. Cartesian coordinates are also essential tools for most applied disciplines that deal with geometry, including astronomy, physics, engineering and many more. They are the most common coordinate system used in computer graphics, computer-aided geometric design and other geometry-related data processing.
ChatGPT
cartesian coordinate
A Cartesian coordinate is a mathematical system that specifies each point uniquely in a plane or space by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length. This system is named after the French mathematician and philosopher Rene Descartes, the inventor of the system.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of Cartesian coordinate in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of Cartesian coordinate in Pythagorean Numerology is: 5
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"Cartesian coordinate." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/Cartesian+coordinate>.
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