Bitangents of a quartic

The term "bitangents" refers to lines that touch a curve at two distinct points, and for a quartic curve, which is a polynomial of degree four, the concept of bitangents becomes particularly interesting. In the context of a quartic curve, a bitangent is a line that intersects the quartic at exactly two points, where both intersection points are tangential—meaning the line is tangent to the curve at both points.