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proving parallel lines in hyperbolic geometry   Message List  
Reply | Forward Message #331 of 1096 |
Re: proving parallel lines in hyperbolic geometry

--- In geometry@yahoogroups.com, "Alberto Monteiro" <albmont@c...>
wrote:
> Katrina wrote:
> >
> > I need some help on my hyperbolic geometry... see if you guys can
> > help me out
> >
> > 1) In hyperbolic geometry, prove that given a line l and a point
P
> > not on l, there are infinitely many lines through P parallel to l.
> >
> > 2) in hyperbolic geometry, prove that 2 lines are hyperparallel
if
> > and only if they share a common perpendicular.
> >
> ???
>
> Sorry, but AFAIK these are, respectively, the definition of a
hyperbolic
> geometry and the definition of hyperparallel.
>
> Alberto Monteiro




Thu Oct 16, 2003 1:55 am

purrdylkat
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Message #331 of 1096 |
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I need some help on my hyperbolic geometry... see if you guys can help me out 1) In hyperbolic geometry, prove that given a line l and a point P not on l,...
purrdylkat
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Oct 15, 2003
12:33 am

... ??? Sorry, but AFAIK these are, respectively, the definition of a hyperbolic geometry and the definition of hyperparallel. Alberto Monteiro...
Alberto Monteiro
albmont
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Oct 15, 2003
3:45 pm

... P ... if ... hyperbolic...
purrdylkat
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Oct 16, 2003
1:55 am

Sorry about last posting... but how do i go about proving these statements? any hints or ideas? Thanks KAtrina ... P ... if ... hyperbolic...
purrdylkat
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Oct 16, 2003
1:57 am
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