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[parent] Cartesian coordinates (Definition)

The Cartesian coordinates of a point in $ \mathbb{R}^3$ for determining its place in three-dimensional space are the three real numbers $ x$, $ y$ and $ z$, which are called

  • $ x$-coordinate or abscissa,
  • $ y$-coordinate or ordinate,
  • $ z$-coordinate or applicate.
The last name “applicate” is rare in English, but its equivalents in continental European languages, as “die Applikate” in German and “aplikaat” in Estonian, are more known.

Similarly, in $ \mathbb{R}^n$ for all $ n = 1,\,2,\,3,\,\ldots$ one needs $ n$ coordinates for specifying the location of a point.



"Cartesian coordinates" is owned by pahio.
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See Also: analytic geometry

Other names:  rectangular coordinates
Also defines:  abscissa, ordinate, applicate
Keywords:  coordinate

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Cross-references: coordinates, real numbers, point
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This is version 6 of Cartesian coordinates, born on 2004-07-23, modified 2007-05-28.
Object id is 6016, canonical name is CartesianCoordinates.
Accessed 15579 times total.

Classification:
AMS MSC51N20 (Geometry :: Analytic and descriptive geometry :: Euclidean analytic geometry)

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