The basket shaped surface shown in this figure is a finite portion of an elliptic paraboloid. The elliptic paraboloid is a non-ruled quadric surface, i.e. a surface of degree 2 that does not contain an infinite family of straight lines. In fact, there are no straight lines on this surface. The equation of this elliptic paraboloid is z = x² + y²/2.25, or equivalently 9z = 9x² + 4y². This instance is not a surface of revolution. |
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The Java files used in this page were downloaded from the
Geometry Center webpage.
I generated the geometric data for this figure in April 2014.
Updates completed on April 24, 2014.
Prof. Joel Roberts
School of Mathematics
University of Minnesota
Minneapolis, MN 55455
USA
Office: 351 Vincent Hall
Phone: (612) 625-1076
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e-mail: roberts@math.umn.edu
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