What is broken line?

Yuri Belousikov
Yuri Belousikov
January 23, 2013
59272
What is broken line?

In geometry, you can often find such a thing as "broken line". Therefore, we decided to tell you in detail about what a broken line is and about its components. Let's start with a general definition, and then we will describe the individual elements of the broken line - links, vertices. And, of course, you will find out how the polyline differs from the straight and curved lines not only visually, but also, of course, from a geometric point of view.

What is a broken line

A broken line is a geometric figure, which is an indirect line, which consists of segments connected in series. These segments can join at completely different angles and even intersect, but they should not be lined up in a straight line. Strictly speaking, if there is at least a small, even a barely noticeable angle between the segments being joined, then this will already be a broken line. This is a broken line is different from a straight line. A straight line can also consist of segments, however, the angle of connection of these segments must be zero, otherwise we will be talking about a broken line.As for the difference between the broken line and the curve, everything is also very simple here - the broken line segments are a straight line, and the segments of the curve are not.

Types of broken lines

Broken lines can be constructed in different ways: for example, there are closed and unclosed broken lines, self-intersecting and non-intersecting. A closed polyline is a specific shape - a polygon. Such a broken line is called self-intersecting, the segments of which have intersections. Good examples of various broken lines with comments can be found. Also a detailed idea of ​​the different types of broken lines is given. As you have probably guessed, broken lines can be of four types in their structure:

  1. open without intersections;
  2. closed without intersections;
  3. open self-intersecting;
  4. closed self-intersecting.

Now we’ll tell you what a broken link is. The links of the polyline are called its sides or segments, of which the line itself consists. A broken line can be called such a line, which consists of at least two links. One link is just a segment. And a few words about what a vertex is. The vertices of the polyline are points representing the ends of some segments of the polyline and, accordingly, the beginning of others.In geometry, it is customary to designate these points in Latin letters, and the polyline itself is called by the notation of these vertices. For example, the broken line ABCDKLMN.

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