The quadric with equation ax2 + by2 + cz2 + 2fyz + 2gzx + 2hxy + 2ux + 2vy + 2wz + d = 0 is degenerate if Δ = 0, where
The non‐degenerate quadrics are the ellipsoid, the hyperboloid of one sheet, the hyperboloid of two sheets, the elliptic paraboloid, and the hyperbolic paraboloid.