The cross point of the X-axis and the Y-axis is known as the origin of a complex plane. The origin’s distance from both abscissa and ordinate is zero, therefore, (0, 0) is the origin coordinate. The placement of points is placed in a particular graphing quadrant and can be guessed by the values of its abscissa and ordinate. Inside coordinate geometry, the placement of a point depends on the values of its abscissa and ordinate and takes place in different quadrants. The graphing quadrants are the partitions on a two-dimensional graphical plane made by X-axis and Y-axis. There are four quadrants, which refer to the positive or negative values of each quadrant. The positive value for both abscissa and ordinate will give the point placement on the first quadrant. The point has to keep a negative abscissa and a positive ordinate to take place in the second quadrant. Similarly, the third quadrant consists of both ordinate and negative abscissa. A point will take place in the fourth quadrant if the point has a positive abscissa and a negative quadrant. Therefore, the graphing quadrants represent the values of the abscissa and quadrants. The coordinates are a pair of values the first value refers to the abscissa of a point and the second value refers to the ordinate of a point. Use of The coordinatesĬoordinates are the most important variables that represent a point of a graphical plane. The coordinates of a plane are the abscissa and the ordinate. These coordinates are used to represent a point on a two-dimensional graph chart. The graph chart represents some complex values of coordinate geometry in a simple way. Each of the points on the plane can be represented by numbers.įinally, a spatial coordinate system nuclei three lines that are perpendicular to each other (called X, Y and Z), which are at a point of origin (0) and whose points in space can be represented by three numbers.That has different implications such as defining the distance between two points. The center of coordinates O corresponds to the value 0.Ī plane coordinate system, for its part, is composed of two perpendicular lines that intersect at their origin. In the framework of a linear coordinate system, any point that is part of a certain line can be linked and symbolized by means of a real number (which will be positive if it is a point located to the right of O or negative if it is in the left portion). Descartes, as many of you will know, is often considered the father of analytic geometry. In a plane, the Cartesian coordinate X is called the abscissa, while the Cartesian coordinate Y is distinguished by the expression "ordinate".Įxperts in the field say that the Cartesian system has been named in honor of the philosopher, scientist and mathematician René Descartes ( 1596 - 1650), who sought to support his philosophical reasoning from a starting point on which to build all knowledge. The reference system in relation to an axis (a line), two (a plane) or three axes (in space) that are perpendicular to each other and that coincide at a certain point that is identified with the name of the origin of coordinates, it is known as Cartesian coordinates. In the year 1801 it was when this work was published, which is written in Latin, where it enters fully into what is the fundamental theorem of algebra. In the same way, the structure that he gave to Number Theory and the large number of publications he made should not be overlooked, including Disquisitiones arithmeticae. This last author has gone down in the history of Mathematics for various issues and among them it should be noted, without a doubt, the fact that he was the first scientist to carry out what is the proof of the fundamental theorem of algebra. However, we cannot ignore that, in one way or another, it also "drinks from the waters" of differential geometry, developed by the German mathematician Carl Friedrich Gauss, and of algebraic geometry. This area must be emphasized that it has its origin in Cartesian geometry, the movement that René Descartes would develop in the period between the 17th and 18th centuries.
#DEFINITION OF ABSCISSA SERIES#
This is a scientific area that is responsible for carrying out the study of the various geometric figures through the use of a series of techniques, algebra and mathematical analysis, in what is a coordinate system. This term and many others, such as equations or axes, are all fundamental and key concepts in what is called analytical geometry. The so-called abscissa axis represents the horizontal coordinate axis. It is known as abscissa (word derived from the Latin abscissa, "cut") to a coordinate of horizontal direction that appears in a rectangular Cartesian plane and that is expressed as the distance that exists between a point and the vertical axis.
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