What is the difference a timberal vault and a parabolic arch?

A timber vault is a structural element made of wooden beams that creates a roof or ceiling, often characterized by its curved shape and used in large spaces to distribute weight evenly. In contrast, a parabolic arch is a specific type of arch with a curved shape resembling a parabola, which efficiently transfers loads down to its supports. While both structures can provide strength and stability, timber vaults primarily focus on roofing applications, whereas parabolic arches are often used in bridges and other constructions to span distances effectively.