A plane curve of the form 
. For 
, the curve is a generalized parabola;
for 
it is a generalized hyperbola.
Fermat Conic
See also
Conic Section, Hyperbola, ParabolaExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Fermat Conic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FermatConic.html