Q: Circular inverse function of the hyperbola

From: DavidBowman (dt041054_at_yahoo.com)
Date: 03/23/05 

Date: 23 Mar 2005 10:11:14 -0800

The inverse of a hyperbola shows all
four "legs" (which diverge to infinity in
Cartesian coordinates) converge at the
point in the center of the inverse map.

Is this point-infinity at the center
of the inverse actually:

1) a point, possibly in hyperspace,
where the legs actually do meet?

2) an instance of a pseudometric,
where distances between separated
objects can be zero?

3) not really a mapping at all,
but a failure of the map at
a limit value, i.e. the mapping is
not one-to-one at infinity

4) really should map to multiple points
in 3-space (hyperspace to the 2D object),
but get mapped to the same point when
the thing is "squished" into 2D?

5) something else, which I haven't thought
of?

Thanx!

=[ d

PS:
my suspicion / best guess: pseudometric

PPS, and I hate to have to say this, but:
If you consider answering this
beneath your dignity, then just shut
the *** up about it and let someone
else answer it. I'm sick and tired
of lectures about asking "stupid"
questions.

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