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Issue:

History

 

Written by:

George B

 

Date added:

December 21, 2014

 

Level:

University

 

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No of pages / words:

2 / 415

 

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Right: hyperboloid of two sheets (4). Figure 3: Left: elliptic paraboloid (7). Right: hyperbolic paraboloid (8). Surfaces with equations (9) --(17) are cylinders over the planes curves of the same equation (Section 13.2). Equations (2), (6), (10), (16), have no real solutions, so they do not describe surfaces in real three-dimensional space...
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Right: hyperboloid of two sheets (4). Figure 3: Left: elliptic paraboloid (7). Right: hyperbolic paraboloid (8). Surfaces with equations (9) --(17) are cylinders over the planes curves of the same equation (Section 13.2). Equations (2), (6), (10), (16), have no real solutions, so they do not describe surfaces in real three-dimensional space...
displayed 300 characters

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