Re: Length and area..

On Apr 6, 12:15 pm, jonas.thornv...@xxxxxxxxxxx wrote:
Isn't it dependent on the definition of line, if a line only is a
distance between two points there is no line or is it?

Frequently in Euclidean geometry, the concepts of point, line, and
plane are undefined. A line in Euclidean geometry can't be the
distance between two points, because a line has infinite length.
Perhaps you are meaning "line segment" when you say "line," because a
line segment has finite length. But the line segment and the length of
the line segment are two different concepts with two different
definitions.

Typical definitions:

line segment: Two points and all the points that lie between them on
the line containing the two points. The two points are called the
endpoints of the line segment.

length of a line segment: The length of a line segment is the distance
between its endpoints.

Dave
.

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