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Timothy Murphy  
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 More options May 17, 7:05 am
Newsgroups: sci.math
From: Timothy Murphy <gayle...@eircom.net>
Date: Sat, 17 May 2008 12:05:23 +0100
Local: Sat, May 17 2008 7:05 am
Subject: Re: curves on quadrics

Dmitry Sustretov wrote:
> On May 16, 4:16 pm, Timothy Murphy <gayle...@eircom.net> wrote:
>> Dmitry Sustretov wrote:
>> > is there a projective quadratic surface that contains two non-
>> > intrersecting curves?

>> Suppose you take the surface x^2 - y^2 + z^2 - t^2 = 0.
>> Then the lines x = y, z = t = 0 and x = y = 0, z = t
>> don't meet.

> The loci of these equations are points, not lines.

You're quite right, of course.
I should have said something like

        x = y, z = t and x = -y, z = -t.

Basically, I was thinking of a ruled surface,
as has been pointed out.


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