Theorems of Incidence

Theorems of Incidence are mathematical rules that describe how points and lines relate to each other. They state, for example, that two distinct lines in a plane either intersect at a single point or are parallel and never meet. Similarly, certain theorems specify conditions under which points lie on lines or when multiple lines intersect. These principles help us understand and predict how geometric objects connect, forming foundational concepts in geometry and combinatorics. They ensure consistency in how points and lines relate, guiding both theoretical understanding and practical applications like computer graphics and network design.