A quadric surface is a three-dimensional geometric shape described by a second-degree polynomial equation. It can take various forms such as an ellipsoid, hyperboloid, or paraboloid. Other terms that can be used as synonyms for quadric surfaces include quadric, conic, and quadratic surface. They are also sometimes referred to as algebraic surfaces since their equations are algebraic in nature. Every quadric surface can be defined by a set of geometric properties such as shape, curvature, and symmetry. Quadric surfaces are widely used in various fields including physics, engineering, and mathematics. Understanding the properties and characteristics of quadric surfaces is crucial in many practical applications such as optics, acoustics, and computer graphics.