In this video I go over further into Conic Sections and this time go over a more “Unified” theorem for conics that has the benefit of being written down as a simple formula in Polar Coordinates.
From my earlier videos on Conic Sections, I went over the conventional theorems for defining Parabolas, Ellipses, and Hyperbolas; which were defined in Cartesian or Rectangular Coordinates.
But the issue with the conventional theorems is that Parabolas were defined with a Focus and a Directrix, while Ellipses and Hyperbolas were defined as having two Foci.
A more unified approach is to use just one theorem that encompasses all of the conic sections.
I go over a summary of such a theorem and which just involves a Focus and a Directrix.
