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What is the meaning of a line in Math

What is the formal definition of a line?


In Geometry, a line has 3 properties

  1. is straight (no curves)
  2. has no thickness
  3. is infinite (in other words, it goes forever and ever in both directions)

What does that really mean?

what is aline picture

More on straight: Lines must be straight or they would look like this.

Dots: A line is made up by so many dots that when we draw the line, we make it solid. However, keep in mind that it's just an infinite number of dots.

Showing infinity: We use arrows on the tips of the line to show that the line continues forever.

Unlike a line, a ray has one endpoint and continues forever in only one direction.

Unlike a line, a segment has two endpoints.

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