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3 years ago

12

Kevin states, “All lines are composed of infinitely many line segments.” Is he correct? Why or why not?

2 answers:

Lemur [1.5K]3 years ago

7 0

Remark.

It's true. A line segment has a finite length. A line is infinitely long. It takes a lot of something that is finite to cover something that is infinite.

________ Suppose this is a part of a line. Just a part mind you.

.................... these are line segments. How many segments will it take to cover a line if you keep on extending the line to the line's "full" length?

MA_775_DIABLO [31]3 years ago

3 0

Answer:

Not completely correct.

Step-by-step explanation:

The lines definition is axiomatic, greeks were the first society that gave a definition of this abstract concept.

According to Euclidean Geometry, lines are composed of an infinite number of points, not segments.

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${\qquad\qquad\huge\underline{{\sf Answer}}}$

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