Hmmm... I wonder if "perimeter circle" would be a better term. It could then be generalized beyond ellipses, e.g. "the perimeter circle of a square". The shortened form could be "pericircle".
Thanks for the input, by the way!
Ah, I was afraid that was the case. I'm thinking of calling it "the equicircumferenced circle of the ellipse" or the "equicircle of the ellipse". Would you care to suggest a better name?
Let's see if I can rephrase my question better. Suppose there is a ellipse with an eccentricity of 0.5 and circumference of 100. A circle with radius 50/pi would also have a circumference of 100. If you drew the ellipse's incircle and circumcircle, the circle with 50/pi radius would fit...
Hi. Unfortunately, it looks like my first ever PhysicsForums post isn't even about Physics. I'll think of a Physics-related question later. :)
Anyway, I know that each ellipse has an inscribed circle and a circumscribed circle, but I was wondering about a third circle associated with an...