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Re: Lines in the plane
Posted:
Apr 27, 2001 5:21 PM
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"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.
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