
3.5.10 Surfaces of the 2-DD Order
Condition: Give the surface equation \ (4 y^{2} +8 z^{2} -16 x+4 y-16 z+33 = 0 \ quad \) to the canonical appearance. Indicate the name of this surface, the center of the new coordinate system and schematically build it in the original coordinate system.
Investigation of Second-Order Surface and Their Characteristics. Ellipsoid, Hyperboloid, Paraboloid. Finding Canonical Equations and Plotting.