Re: Is a line segment composed of points?

On Nov 11, 10:11 pm, Marshall <marshall.spi...@xxxxxxxxx> wrote:
On Nov 11, 1:17 am, vred...@xxxxxxxxx wrote:

On Nov 2, 6:30 pm, "Dave L. Renfro" <renfr...@xxxxxxxxx> wrote:

What did you think when you were finding the point
of intersection for two non-parallel lines in
a first high school (middle school nowadays,
I hear) course in algebra? And what did you
think about graphing lines by plotting some
of the points on the line?

The question of intersection points is already answered in other
thread, saying these points are boundaries of the line segments, but
are not part of any line segment.

So an intersection point, which is a point on two nonparallel lines,
is not on any line; is that what you are saying?

Yes, because a point can not contribute to the extent of a line. If
you cut the line segment into infinitely large number of pieces, each
piece length is infinitely small but not zero. Also a point is just a
"way" to divide a line segment into two parts.

- venkat


Marshall


.

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