Kevin Wampler <wam### [at] uwashingtonedu> wrote:
> Invisible wrote:
> > http://www.xkcd.com/687/
> > 
> > Interesting fact: In elliptic geometry, pi is less than arcsine 1. In 
> > hyperbolic geometry, it's more than arcsine 1.

> I don't think this is true -- pi is defined in Euclidean space.  Read 
> the first sentence of the Wikipedia article on it.

  Yeah. You can't say "pi is xyz" where xyz is something else than 3.1415...
because pi is *defined* as a *constant*, and constants don't change depending
on the situation. The definition of pi implies euclidean geometry.

-- 
                                                          - Warp

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