The Ruled Surface Nature of Hyperbolic Paraboloid and Its Applications

In geometry, the curved surface formed by the movement of a straight line is called a ruled surface, and the hyperbolic paraboloid is a typical ruled surface. In this study, by analyzing the image and properties of the hyperbolic paraboloid, the related geometric properties are listed. Its ruled surface nature was proved by constructing a straight generatrix on the curved surface, and the related theorem of straight generatrix was obtained. Due to the advantages of ruled surface nature, the hyperbolic paraboloid has a wide range of applications in daily life, including construction, machinery, and water conservancy, etc.