PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: Very high Entry average rating: No information on entry rating
[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.
(view preamble | get metadata)

View style:

See Also: analytic geometry

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

This object's parent.
Log in to rate this entry.
(view current ratings)

Cross-references: coordinates, real numbers, point
There are 77 references to this entry.

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 23097 times total.

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

Pending Errata and Addenda
None.
[ View all 2 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | add derivation | add example | add (any)