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Message from discussion Wikipedia contradiction in re: hyperbolic geometry; and in general, the geometries
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Frederick Williams  
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 More options Nov 4 2009, 11:05 am
Newsgroups: sci.math
From: Frederick Williams <frederick.willia...@tesco.net>
Date: Wed, 04 Nov 2009 11:05:01 +0000
Local: Wed, Nov 4 2009 11:05 am
Subject: Re: Wikipedia contradiction in re: hyperbolic geometry; and in general, the geometries

Ken Quirici wrote:

> First, Wikipedia's article on non-euclidean geometry contradicts the
> article on hyperbolic geometry in that the former says that, in a
> hyperbolic geometry, given a
> line l and a point P, there are *infinitely* many distinct lines
> passing
> thru P and parallel to l. On the other hand, the article on hyperbolic
> geometry says that for such a geometry *at least two* distinct lines
> pass thru P and are parallel to l.

If there are two or more then one can prove that there are infinitely
many.

--
Which of the seven heavens / Was responsible her smile /
Wouldn't be sure but attested / That, whoever it was, a god /
Worth kneeling-to for a while / Had tabernacled and rested.


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