Challenge 4 – X- Marks the Spot with Quadratic Equations

One interesting feature of the August 21, 2017 total solar eclipse is that its path of totality across the continental US crosses over the paths of earlier and later eclipses.

Each of the crossing points can be determined by fitting a quadratic equation to three or more pairs of points along each track, and then solving the two equations to find the common, intersection, point.