Equations of the Six Types of Quadric Surfaces

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In this video I review the standard form equations of the 6 types of quadric 3D surfaces: ellipsoid, cone, elliptic paraboloid, hyperboloid of one sheet, hyperbolic paraboloid, and hyperboloid of two sheets. For each quadric surface, I state the types of horizontal and vertical traces as well as the axis of symmetry.

Timestamps:

• Question 19: Six Types of Quadric Surfaces: 0:00

• Solution: Equations: 0:06

• Ellipsoid: 0:12 - Cone: 0:29

• Elliptic Paraboloid: 1:08

• Hyperboloid of One Sheet: 1:57

• Hyperbolic Paraboloid: 2:29

• Hyperboloid of Two Sheets: 3:54