Overview

hyperboloid of two sheets


'hyperboloid of two sheets' can also refer to...

 

More Like This

Show all results sharing this subject:

  • Mathematics

GO

Show Summary Details

Quick Reference

A quadric whose equation in a suitable coordinate system isThe axial planes are planes of symmetry. The section by a plane z=k parallel to the xy-plane, is, when non-empty, an ellipse (a circle if a=b). When k lies between −c and c, the plane z=k has no points of intersection with the hyperboloid, and the hyperboloid is thus in two pieces or sheets. Sections by planes parallel to the other two axial planes are hyperbolas. Planes through the z-axis cut the hyperboloid in hyperbolas with vertices at (0, 0, c) and (0, 0,−c).

Subjects: Mathematics.


Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.