![]() Without even plotting it on a graph, by observing its sign (-ve, +ve) we can make out that it lies in quadrant II. For example, we are given a point P (-4,6). This gives an idea about the quadrant in which the given point lies. ![]() To understand how to plot a point in the four quadrants, we need to observe the signs of an x-coordinate (also called abscissa) and a y-coordinate (also called ordinate). Wait for the next posts.The numbers in the quadrant are expressed in the ordered pair (a, b) where 'a' is the x- coordinate and 'b' is the y-coordinate. ![]() Here we talk all about the Cartesian plane. These systems use satellites to determine these coordinates in the Cartesian plane. In this case, it is a more complex system than presented in this post, as it is a three-dimensional (x,y,z) Cartesian system. The positions of this system are determined through its geographic coordinates (latitude, longitude and altitude). This important system is based on the Cartesian coordinate system. Today any car user cannot live without GPS. The global positioning system (GPS) is a global positioning system that is widely used today. In architecture and civil construction, the Cartesian plan is used as a basis for drawing up plans for houses and buildings. We can observe that the symbology (semiotically active language of an ear).In this way, René discards used an ear as a symbol. In large professions such as statistics, chemical engineering, medicine, the Cartesian plane is used through graphics through the ( %A7%C3%B5es/).įunctions, as stated in the previous post, the act of listening and speaking represent what we call today a function. In many applications the Cartesian plane is very useful as it serves as a reference system for locating points on the plane. The ordered pair $(x,y) = (4,-1)$ is represented as follows in the Cartesian plane: Applications of the Cartesian Plane The ordered pair $(x,y) = (-1,-1)$ is represented as follows in the Cartesian plane: Fourth Quadrant Example The ordered pair $(x,y) = (-2,1)$ is represented as follows in the Cartesian plane: Third Quadrant Example The ordered pair $(x,y) = (3,1)$ is represented as follows in the Cartesian plane: Second Quadrant Example ![]() Fourth quadrant: ordered pairs $(x,-y)$ positive abscissa and negative ordinate.Third quadrant: ordered pairs $(-x,-y)$ both negative.Second quadrant: ordered pairs $(-x,y)$ negative abscissa > and positive ordinate.First quadrant: ordered pairs $(x,y)$ both positive.In a counterclockwise direction we can classify these pairs that we call quadrants. The two lines that make up the Cartesian plane are number lines that we define below:ĭefinition: Abscissa is the horizontal number line, which we call the $x$ axis coordinate.ĭefinition: Ordinate is the vertical number line, which we call the $y$ axis coordinate.ĭefinition: Ordered pair is two numbers formed by the pair $(x,y)$ with coordinates $x$ and $y$ respectively.Īfter defining ordered pairs, the next step is to classify these pairs. In later posts, we will talk about other number sets. Here, we’re going to talk about these two number lines, which in this context, inteiros. The Cartesian plane was successfully proposed by René Descartes, in which it is composed of two perpendicular lines.
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