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Encyclopedia > Origin (mathematics)

In mathematics, the origin of a coordinate system is the point where the axes of the system intersect. Mathematics, often abbreviated maths in Commonwealth English and math in American English, is the study of abstraction. ... See Cartesian coordinate system or Coordinates (elementary mathematics) for a more elementary introduction to this topic. ... The word point can refer to: a location in physical space a unit of angular measurement; see navigation point is a typographic unit of measure in typography equal inch or sometimes approximated as inch; on computer displays it should be equal to point in typography if the correct display resolution... The word axis has several meanings: In geometry, it may refer to: An axis of rotation A coordinate axis An axis of symmetry In anatomy, the axis is the second cervical vertebra. ...


The most common systems are two-dimensional (contained in a plane) and three-dimensional (contained in a space) Euclidean systems, having two and three perpendicular axes, respectively. The origin divides each of these axes into two halves, a positive side and a negative side. Points can then be located with reference to the origin by giving their numerical coordinates -- that is, their positions along each axis either in the positive or negative direction. The coordinates of the origin are always all zero, for example (0,0) in two dimensions and (0,0,0) in three. In mathematics, a plane is the fundamental two-dimensional object. ... The word space has many meanings, including: Physics The definition of space in physics is contentious. ... In mathematics, Euclidean geometry is the familiar kind of geometry on the plane or in three dimensions. ... A perpendicular line. ... See Cartesian coordinate system or Coordinates (elementary mathematics) for a more elementary introduction to this topic. ...


 

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