The line of an angle

[shahar]

In elementary school we don't notice to the angles line that creates the angle as subject that discuss that the discussion if that lines is part of the angle or not. In advance learning we do.
So, Where I can find an article about if the angle include the lines that create the angle is part of the angle or not?

 

[The Highlander]

In elementary school we don't notice to the angles line that creates the angle as subject that discuss that the discussion if that lines is part of the angle or not. In advance learning we do.
So, Where I can find an article about if the angle include the lines that create the angle is part of the angle or not?

I have never come across the issue you raise here.

It is my understanding that the lines that form an angle are (always) considered part of the angle.

A line (or ray), in the mathematical sense, is considered one-dimensional. It has length but no width or depth. Therefore, intersecting lines or rays forming an angle are intrinsic parts of that angle.

A point is considered to be zero-dimensional in mathematics. This is because a point has no length, width, or depth, and therefore no shape or size. A line has one dimension, a plane has two, and a solid has three.

 

[Aion]

In elementary school we don't notice to the angles line that creates the angle as subject that discuss that the discussion if that lines is part of the angle or not. In advance learning we do.
So, Where I can find an article about if the angle include the lines that create the angle is part of the angle or not?

Are you asking where you can find an article that discusses whether the lines (or rays) that form an angle are considered part of the angle?

If you read Euclid’s Elements, you’ll notice that he deliberately avoids defining angles as numerical values. Instead, Euclid describes an "angle" as a geometric configuration—specifically, the figure formed by the intersection of two lines—rather than as a measurable quantity like degrees or radians.

For deeper insight, I recommend watching this video, which explores why the concept of an angle is more nuanced than it initially seems—and why its definition is not as straightforward as modern interpretations might suggest.

 

[Dr.Peterson]

In elementary school we don't notice to the angles line that creates the angle as subject that discuss that the discussion if that lines is part of the angle or not. In advance learning we do.
So, Where I can find an article about if the angle include the lines that create the angle is part of the angle or not?

Angle - Wikipedia

en.wikipedia.org

In Euclidean geometry, an angle or plane angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.​

That suggests that, when you think of an angle as a figure (rather than, say, an amount of rotation), the rays are considered to be part of the angle, since they "form" it.

But why does it matter? What would you do differently if they are or are not included?

And what context are you thinking about?

 

[fresh_42]

In elementary school we don't notice to the angles line that creates the angle as subject that discuss that the discussion if that lines is part of the angle or not. In advance learning we do.
So, Where I can find an article about if the angle include the lines that create the angle is part of the angle or not?

A line has no width, so it is irrelevant. Given three non-linear points in a plane, then they define three different angles, and no line has been drawn at all.