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

The set of all points at distance r from the point c.

> Now define "distance".

I actually can't find a definition for how to do this in a non-Euclidean 
space.

> Now we're getting somewhere.

Well, yes... I'm sure somebody somewhere has long since worked all this 
out in excruciating detail. ;-)

-- 
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