Posts Tagged ‘ellipse’

An Analytic Solution for Ellipse and Line Intersection

July 19, 2013

image of ellipse and line intersecting (Note: this article was originally written in \LaTeX and transcribed to WordPress, so forgive the equation alignment. Get the original). If you have a line and an ellipse, how can you tell where they intersect? This is a relatively simple problem that has worked-out examples all over the web if you Google for “line ellipse intersection”. However, what I’ve come to find is that nobody will actually give you the solution for an arbitrary line and an arbitrary ellipse. I’m here to do just that. (more…)