Surface regulated
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In , one surface regulated is one by each point of which a line contained in surface passes. One can obtain a surface regulated by taking the union of a family of right-hand sides depending on a parameter. The lines contained in a regulated surface are called them generators.
Example of the hyperbolic paraboloid
One plan is thus an obvious regulated surface, but one can find others well of them:
- , of which all the génératricees pass by the top;
- , whose generators are parallel;
- hyperbolic paraboloid ;
- hyperboloid with a tablecloth ;
- ;
- conoïdes
