Date: Aug 21, 2009 8:30 PM
Author: Walter Dunning
Subject: Intersection of a line and an ellipse

Hello, I am trying to solve a geometry problem but cannot seem to come up with the correct formula.

I have a line defined by two points, p1 and p2.

I also have an ellipse defined by a center point c and a radius in the x-dimension a and a radius in the y-dimension b. The ellipse is aligned with the coordinate axes.

I would like to know the point (if any) where the line intersects the ellipse.

Can someone give me the formula?