Unformatted text preview: z > and on the curve z = − y 2 in the yz-plane for z < (Figure 3.37 ). The o²cial name of this surface is a hyperbolic paraboloid , but it is colloquially referred to as a saddle surface (Figure 3.38 ). 2. If the form Q ( x,y,z ) is de±nite, then all of the eigenvalues λ i have the same sign, and we can model the locus (up to rotation and displacement of the origin) by x 2 a 2 + y 2 b 2 + z 2 c 2 = k ;...
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- Spring '08
- Calculus, Hyperboloid, QUADRATIC CURVES, hyperbola opening