If the red curve is an ellipse, is the green curve also an ellipse?

Question

See the figure below:

enter image description here

The red curve is an ellipse; the blue curve is a unit circle.

Green curve is the locus of the circle center.

Is the green curve an ellipse?

score 4 · Accepted Answer · answered Jan 17 '15 at 01:22

4

No, the produced curve is not an ellipse; consider a high-eccentricity ellipse.

answered Jan 17 '15 at 01:22

Joffan

1 Answers1