I was playing with the Desmos graphing calculator and "discovered" the following curve $(\ln x)^2 + (\ln y)^2 = 1$ (I originally found it in the parametric form $(e^{\cos t}, e^{\sin t})$). It would seem to be the equivalent of a circle on a log-log plot mapped back into a rectangular plot. Is it at all well-known, and does it have a name?
A graph of some similar (circle-ish) curves, suggested by commenters:
Might any of those have names either?