Concurrent lines are those that lie in the same plane and have a point in common.
The one-dimensional line composed of infinite points that follow one another in the same direction is called a straight line . Concurrent , for its part, is an adjective that refers to that which concurs (that is, that meets with others of its type in the same place).
These definitions allow us to approach the notion of a concurrent line . Concurrent lines are three or more lines that are in the same plane and have a point in common .
Characteristics of a concurrent line
This means that concurrent lines pass through the same point , unlike parallel lines that do not have points in common, are equidistant from each other and do not have the possibility of crossing even when they are extended indefinitely. Both properties, therefore, are exclusive: if the lines are parallel, they are not concurrent, and vice versa.
It can be said, in short, that the concurrent lines meet at the same point. If there are two lines, we speak of intersecting lines or perpendicular lines , depending on the case. On the other hand, when having three or more lines that intersect at a certain point, the appropriate concept is that of concurrent lines. In any case, all lines that cross the same point are concurrent in the sense that they coincide in a certain space (the point in question).
In schools and institutes, students have to learn the concept of a concurrent line and also how to shape it. Thus, in the first case, this is something they discover in Geometry classes, while the second is acquired in Plastics classes. It should be noted that the existence of concurrent lines implies the creation of different angles . When crossing at the concurrent point, the lines give rise to angles with different measurements (45º, 20º, etc.).
In schools they teach how to draw concurrent lines.
Various applications of the concept
In addition to all the above, we cannot ignore the existence of what is called a straight line concurrent with the Earth line, which is fundamentally used within the architecture sector and which refers to the straight line that participates in certain projections. and that adopts a concurrent position regarding essential lines .
And they also gain special prominence within the aforementioned sector. Thus, for example, we could determine that there are certain buildings and structures that clearly make it clear that they are composed of what are concurrent lines. This would be the case of the pyramids of Egypt, since all their lateral lines come together at a common point which is what forms the top.
It is considered, in the same way, that these types of straight lines also take on special prominence in the world of art. Thus, for example, it is established that Renaissance painters used them with great presence when capturing landscapes and, specifically, streets. Specifically, it is determined that to undertake the layout of that element they chose to create two concurrent lines that joined at what was called the vanishing point or point of infinity. This is something that can be seen in some paintings by Raphael, Dürer or Piero de la Francesca.