Date: Apr 27, 2001 5:21 PM
Author: S.K.Mody
Subject: Re: Lines in the plane

"Ahmed Fares" <ahmedfares@REMOVEmy-deja.com> wrote in message

news://mfo0r8qpxd17@forum.mathforum.com...

> >Suppose that exactly k of the points lie on the same line

> >for some k ( 2 <= k < n ). Then each of the remaining

> >n - k points can be paired with each of these points leading

> >to (n - k)*k distinct lines. Along with the first line this leads

> >to 1 + (n-k)*k lines which is >= n for n >= 3.

>

> You are assuming that each line between one remaining point and one of

> the k points contains only these 2 points, this is not true in general

> of course.

>

Yes, sorry I goofed - that's the third time this week :-()

But see my corrected post - I think that's right.

Regards,

S.K.Mody.