Question

Prove that a perpendicular from a focus of an ellipse to a tangent meets the tangent on the auxiliary circle of the ellipse.

Answer 1

I assume this is what is going on with the "perpendicular from a focus of an ellipse to a tangent (of the ellipse?)"

though I'm a little confused as to the "meets the tangent on the auxiliary circle of the ellipse" part.

Answer 2

me too. The picture looks correct but my book says it has to meet on the auxiliary circle, I just don't know how to prove it.