Quadric (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 graph of the equation x^2 + y^2 = 4 is a quadric, specifically a circle.
- In three-dimensional space, the equation x^2 + y^2 - z^2 = 1 represents a quadric surface.
- The quadric defined by the equation x^2 - y^2 = 1 is a hyperbola.
- The surface of the sphere is a quadric, as it can be described by the equation x^2 + y^2 + z^2 = r^2.
- The equation of the paraboloid is a quadric, given by z = x^2 + y^2.