Incidence geometry studies which points lie on which curves, lines or higher-dimensional objects and how many such incidences a finite configuration can have.
Incidence geometry is a branch of geometry that focuses on the relationships and properties involving points and lines (or more generally, sets of geometric objects) without necessarily defining distances, angles, or other constructs commonly used in Euclidean geometry. It primarily studies the rules dictating how points, lines, and other geometric entities interact in terms of incidence, which refers to the notion of whether certain points lie on certain lines or if certain lines intersect.
New to topics? Read the docs here!