Cartesian coordinates - ορισμός. Τι είναι το Cartesian coordinates
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Τι (ποιος) είναι Cartesian coordinates - ορισμός

MOST COMMON COORDINATE SYSTEM (GEOMETRY)
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  • 3D Cartesian coordinate handedness
  • (''a'', ''b'')}} and ''r'' is the radius.
  • (0, 0)}} in purple.
  • (1, −1, 1}}).
  • Fig. 7 – The left-handed orientation is shown on the left, and the right-handed on the right.
  • The four quadrants of a Cartesian coordinate system
  • (2, 3, 4)}}.
  • The [[right-hand rule]]
  • Fig. 8 – The right-handed Cartesian coordinate system indicating the coordinate planes.

Cartesian coordinates         
<mathematics, graphics> (After Renee Descartes, French philosopher and mathematician) A pair of numbers, (x, y), defining the position of a point in a two-dimensional space by its perpendicular projection onto two axes which are at right angles to each other. x and y are also known as the abscissa and ordinate. The idea can be generalised to any number of independent axes. Compare polar coordinates. (1997-07-08)
Cartesian coordinates         
¦ plural noun coordinates which locate a point in terms of its perpendicular distance from two (or three) mutually perpendicular axes.
Cartesian coordinate system         
A Cartesian coordinate system (, ) 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, measured in the same unit of length. Each reference coordinate line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair .

Βικιπαίδεια

Cartesian coordinate system

In geometry, a Cartesian coordinate system (UK: , US: ) 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 they meet is called 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 are the signed distances from the point to three mutually perpendicular planes. More generally, 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.