[R] Fit elipse to xy scatter

[DrCJones]

Hi,

I know there is a package 'elipse' available but I'm not sure how to use it
for my specific implementation. 


What I would like to do is fit an elipse to two lines of identity (at right
angles to each other), as indicated in the following figure:
http://imageshack.us/photo/my-images/30/poincareplotwip.png/

Conceptually, I'm really struggling to even come up with a way of doing
this, let alone an implementation. 

Would really appreciate some pointers :) 


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