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• Here's a derivation I did earlier

  Posted by Bruce Perry at 2015-06-27 22:32:17

  In this derivation, I was trying to derive C given B (with A and the hyperboloid fixed) so that I could project points from the Poincare ball, here represented as a line, on to the hyperboloid. The equations I needed were on Wikipedia, but were failing me.

  I should have known better than to doubt the accuracy of Wikipedia, right? My problem was that my point B was outside the bounds of the Poincare ball. I was ending up with my point C below the horizontal axis. I'm curious about whether my C would have been on the lower hyperboloid or on the line through A and B, but I'm not going to spend time on that - at least not now - so I'll probably never know!

  

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