General quadrics

Ellipsoid

x2/a2+ y2/b2 + z2/c2 + 1= 0

Nondegenerate quadrics

One-sheet hyperboloid

x2/a2- y2/b2 + z2/c2 + 1= 0

Two-sheet hyperboloid

x2/a2 - y2/b2 + z2/c2 - 1= 0

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