Quadric Surface (Noun)
Meaning
A curve or surface whose equation (in Cartesian coordinates) is of the second degree.
Classification
Nouns denoting two and three dimensional shapes.
Examples
- The study of quadric surfaces is an important part of differential geometry and has numerous applications in physics and engineering.
- The graph of a quadratic function in three variables is a quadric surface, and can be visualized as a U-shaped or saddle-shaped surface.
- The quadric surface is defined by the equation ax^2 + by^2 + cz^2 + dxy + eyz + fzx + gx + hy + iz + j = 0.
- The researcher used computer software to visualize and analyze the properties of a quadric surface defined by a complex polynomial equation.
- In the context of computer-aided design, quadric surfaces are used to model and render smooth, curved shapes in three-dimensional space.