hyperbola



Dear List-members,

Acc. to an article in Fibonacci Quarterly Vol.37.2, May 1991, 
the geometry of the Fibonacciseries is a hyperbola with asymp-
totes x = -2 and x + y = 1. I would very much like to know the 
equations and the excentricity of this hyperbola.

I would also like to know the solutions to the following two 
equations hopefully giving the reason for their differnce:   

a.  x^2 + 2x + y^2 = -2  {Ø (Empty Set)} 

b.  x^2 + 2x + y^2 = -1  {point (-1,0)}

Sincerely

Raoul Martens