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[[File:Cartesian-coordinate-system.svg|thumb|right|250px|Illustration of a Cartesian coordinate plane. The first value in each ordered pair is the abscissa of the corresponding point.]]In [[mathematics]], '''abscissa''' (plural '''abscissae''' or '''abscissæ''' or '''abscissas''') most often refers to the horizontal coordinate of a point in a two-dimensional rectangular [[Cartesian coordinate system]]. The term can also refer to the horizontal axis (typically ''x''-axis) of a two-dimensional graph (because that axis is used to define and measure the horizontal coordinates of points in the space).  An [[ordered pair]] consists of two terms—the abscissa (horizontal, usually ''x'') and the [[ordinate]] (vertical, usually ''y'')—which define the location of a point in two-dimensional rectangular space.  
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:<math>(\overbrace{x}^\text{abscissa}, \overbrace{y}^\text{ordinate})</math>
 
==In parametric equations==
In a somewhat obsolete variant usage, the abscissa of a point may also refer to any number that describes the point's location along some path, e.g. the parameter of a [[parametric equation]].<ref name="WolframAlpha">{{cite web | last = Hedegaard | first = Rasmus | last2 = Weisstein | first2 = Eric W. | title = Abscissa | work = [http://mathworld.wolfram.com/ MathWorld]--A Wolfram Web Resource | url = http://mathworld.wolfram.com/Abscissa.html | accessdate = 14 July 2013}}</ref> Used in this way, the abscissa can be thought of as a coordinate-geometry analog to the [[Independent_variable#Independent_variable|independent variable]] in a [[mathematical model]] or experiment (with any ordinates filling a role analogous to [[Dependent and independent variables#Dependent_variable|dependent variables]]).
 
==Examples==
* For the point (2, 3), 2 is called the abscissa and 3, the [[ordinate]].
* For the point (5, 15), 5 is called the abscissa and 15, the ordinate.
 
==See also==
{{Portal|Geometry}}
* [[Ordinate]]
* [[Dependent and independent variables]]
* [[Function (mathematics)]]
* [[Relation (mathematics)]]
* [[Line chart]]
 
==References==
<references />
{{FOLDOC}}
 
==External links==
* {{Wiktionary-inline}}
 
[[Category:Elementary mathematics]]
[[Category:Coordinate systems]]
[[Category:Dimension]]
 
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[[de:Kartesisches Koordinatensystem#Das Koordinatensystem im zweidimensionalen Raum]]

Latest revision as of 17:36, 11 December 2014

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