The basket shaped surface shown in this figure is a finite portion of an elliptic paraboloid. The elliptic paraboloid is a quadric surface, i.e. a surface of degree 2 that
does not contain an infinite family of straight lines. In fact,
there are non-ruled straight lines on this surface.
noThe equation of this elliptic paraboloid is z = x² + y²/2.25, or equivalently
9z = 9x² + 4y².
This instance is a surface of revolution.
not |

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*The Java files used in this page were downloaded from the
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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

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