The first step that we are going to take before entering fully into the analysis of the term Cartesian plane is to proceed to establish the etymological origin of the two words that give shape to it. Thus, the word flat we can determine that it emanates from Latin and more exactly from the term planus which can be defined as “flat”.

The notion of flat it has different uses and meanings. It may be a surface lacking relief, bumps, or undulations; of a element that has only two dimensions and that houses infinite points and lines; or a scheme developed to scale that represents a terrain, a building, a device, etc.

Cartesian, meanwhile, is a adjective which derives from Cartesius, the Latin name of the French philosopher Rene Descartes (who lived between the end of the 16th century and the first half of the 17th century). The term, therefore, refers to what is linked to Cartesianism (the postulates or principles proposed by this thinker).

It is known as Cartesian plane to the ideal element that has Cartesian coordinates. These are lines parallel to the axes that are taken as a reference. They are drawn on the aforementioned plane and make it possible to establish the position of a point. The naming of the Cartesian plane, of course, is a tribute to Discards, who sustained his philosophical development in a starting point that was evident and that allowed to build knowledge.

The Cartesian plane exhibits a pair of axes that are perpendicular to each other and interrupt at the same point of origin. The origin of coordinates, in this sense, is the point of reference of a system: at that point, the value of all coordinates has null (0, 0). Cartesian coordinates x and Y, on the other hand, are called abscissa Y neat, respectively, on the plane.

In the same way, we cannot ignore another series of elements that are fundamental in any Cartesian plane. In this way, we find the origin of coordinates, which is represented by the O and which can be defined as the point where the aforementioned axes intersect.

Likewise, we must also refer to what is called the abscissa of point P and the ordinate of point P. And all this without forgetting that in any Cartesian plane various functions can be carried out such as linear functions, those of direct proportionality and those of indirect proportionality.

The former are identified by the fact that in them all the points are aligned. Meanwhile, the latter are characterized by the presence of what is known as the constant of proportionality, which is identified by the letter k, and by the fact that in them, if in the pairs of values ​​the ordered by the abscissa is divided, it is always gets the same number.

An operation that differs from the one that occurs in indirect proportionality functions because in them what is produced is the multiplication of the ordinate by the abscissa in the pairs of values. The result will always be the same number.

In a plane coordinate system, which is made up of two perpendicular lines that intersect at the origin, each point can be named through two numbers.