Parallel Postulate

The Parallel Postulate is a foundational rule in Euclidean geometry that states: given a straight line and a point outside it, there is exactly one line through that point that is parallel to the original line, meaning it never intersects it. This postulate helps define how parallel lines behave and ensures the consistency of geometric properties on flat surfaces. While it seems intuitive, non-Euclidean geometries explore alternatives where multiple or no parallels exist through a point, leading to different geometric systems.