Multiple parallel lines can pass through a single point relative to a given line. Riemannian Manifolds
For over two millennia, Euclid’s parallel postulate stood as an absolute truth. In the early 19th century, Nikolai Lobachevsky, János Bolyai, and Carl Friedrich Gauss independently challenged this axiom. By assuming that multiple parallel lines could pass through a single point, they developed entirely consistent, non-Euclidean geometries. This proved that mathematics was not just a description of physical space, but a construction of logical frameworks. Rigour in Analysis development of mathematics in the 19th century klein pdf
