Cartesian coordinates

The Cartesian coordinates of a point in ${ℝ}^3$ for determining its 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 in continental European , as “die Applikate” in German and “aplikaat” in Estonian, are more known.

Similarly, in ${ℝ}^n$ for all  $n=1,\mathrm{\hspace{0.17em}2},\mathrm{\hspace{0.17em}3},\mathrm{\dots }$  one needs $n$ coordinates for specifying the location of a point.

Title	Cartesian coordinates
Canonical name	CartesianCoordinates
Date of creation	2013-03-22 14:28:59
Last modified on	2013-03-22 14:28:59
Owner	pahio (2872)
Last modified by	pahio (2872)
Numerical id	9
Author	pahio (2872)
Entry type	Definition
Classification	msc 51N20
Synonym	rectangular coordinates
Related topic	AnalyticGeometry
Defines	abscissa
Defines	ordinate
Defines	applicate