Orchid XP v8 wrote:
>
> Any possible line segment in elliptic geometry can be used as a circle 
> diammeter. (Since lines that are "too large" to define a circle won't 
> fit into the space in the first place.)
> 

Yes, obviously, so long as you don't define line segments so that a line 
is allowed to overlap with itself.  But I defined xyz as a function of 
the *radius* of a circle, not as a function over line segments. 
Defining circles so that they work for all radii under this definition 
requires a touch more care (although it is possible).

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