This figure shows a finite portion of hyperboloid of one sheet. The hyperboloid of one sheet is a quadric ruled surface, i.e., a surface of degree 2 that contains infinitely many lines. In fact, there are two 1-parameter families of lines on this surface. Click here to see:
The other smooth quadric ruled surface, the hyperbolic paraboloid, also contains two 1-parameter families of lines. |
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I made the figure on this page by substituting my own data in a Geometry Center webpage.
Prof. Joel Roberts
School of Mathematics
University of Minnesota
Minneapolis, MN 55455
USA
Office: 351 Vincent Hall
Phone: (612) 625-1076
Dept. FAX: (612) 626-2017
e-mail: roberts@math.umn.edu
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http://www.math.umn.edu/~roberts