You are here
HomeCartesian coordinates
Primary tabs
Cartesian coordinates
The Cartesian coordinates of a point in $\mathbb{R}^{3}$ for determining its place in threedimensional 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.
Defines:
abscissa, ordinate, applicate
Keywords:
coordinate
Related:
AnalyticGeometry
Synonym:
rectangular coordinates
Major Section:
Reference
Type of Math Object:
Definition
Parent:
Mathematics Subject Classification
51N20 no label found Forums
 Planetary Bugs
 HS/Secondary
 University/Tertiary
 Graduate/Advanced
 Industry/Practice
 Research Topics
 LaTeX help
 Math Comptetitions
 Math History
 Math Humor
 PlanetMath Comments
 PlanetMath System Updates and News
 PlanetMath help
 PlanetMath.ORG
 Strategic Communications Development
 The Math Pub
 Testing messages (ignore)
 Other useful stuff
Recent Activity
Apr 15
new question: Prove a formula is part of the Gentzen System by LadyAnne
Mar 30
new question: A problem about Euler's totient function by mbhatia
new problem: Problem: Show that phi(a^n1), (where phi is the Euler totient function), is divisible by n for any natural number n and any natural number a >1. by mbhatia
new problem: MSC browser just displays "No articles found. Up to ." by jaimeglz
Mar 26
new correction: Misspelled name by DavidSteinsaltz
Mar 21
new correction: underlinetypo by Filipe
Mar 19
new correction: cocycle pro cocyle by pahio
Mar 7
new image: plot W(t) = P(waiting time <= t) (2nd attempt) by robert_dodier
new image: expected waiting time by robert_dodier
new image: plot W(t) = P(waiting time <= t) by robert_dodier
new question: Prove a formula is part of the Gentzen System by LadyAnne
Mar 30
new question: A problem about Euler's totient function by mbhatia
new problem: Problem: Show that phi(a^n1), (where phi is the Euler totient function), is divisible by n for any natural number n and any natural number a >1. by mbhatia
new problem: MSC browser just displays "No articles found. Up to ." by jaimeglz
Mar 26
new correction: Misspelled name by DavidSteinsaltz
Mar 21
new correction: underlinetypo by Filipe
Mar 19
new correction: cocycle pro cocyle by pahio
Mar 7
new image: plot W(t) = P(waiting time <= t) (2nd attempt) by robert_dodier
new image: expected waiting time by robert_dodier
new image: plot W(t) = P(waiting time <= t) by robert_dodier