Points, Lines, and Conic Sections

This is a textbook that takes an extensive look into the conic sections. It does for the conic sections what linear algebra does for matrices. The author has developed an abundance of new formulas for the conic sections and has included many topics from triangle geometry to complete this textbook. This course could be taken concurrently with freshman calculus. Some of the points that we study in this textbook are the Prasolov point, the pole of a conic section, the Symmedian point, and the Nagel point. Some of the lines that we study include the Pappus line, the Wallace-Simson line, the Euler line, and the Gergonne line. One of the important theorems that we study is Johnson's theorem and another is the Apollonian distance theorem for a parabola.