Wordigg

quadric Definitions

adj

of or relating to the second degree; quadratic.

noun

a surface whose shape is defined in terms of a quadratic equation

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  • in solid analytic geometry the orientation of a straight line is given not by one slope but by its direction cosines, λ, μ, and ν, the cosines of the angles the line makes with the x-, y-, and z-axes, respectively; these satisfy the relationship λ2+μ2+ν2= 1. in the same way that the conic sections are studied in two dimensions, the 17 quadric surfaces, e.g., the ellipsoid, paraboloid, and elliptic paraboloid, are studied in solid analytic geometry in terms of the general equation ax2+by2+cz2+dxy+exz+fyz+px+qy+rz+s=0. factmonster.com

  • in solid analytic geometry the orientation of a straight line is given not by one slope but by its direction cosines, λ, μ, and ν, the cosines of the angles the line makes with the x-, y-, and z-axes, respectively; these satisfy the relationship λ2+μ2+ν2= 1. in the same way that the conic sections are studied in two dimensions, the 17 quadric surfaces, e.g., the ellipsoid, paraboloid, and elliptic paraboloid, are studied in solid analytic geometry in terms of the general equation ax2+by2+cz2+dxy+exz+fyz+px+qy+rz+s=0. infoplease.com