Warp wrote:
> 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.
> 

What about xyz = the ratio of any circle's circumference to its diameter?


-- 

Best Regards,
	Stephen

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