ELLIPTIC PARABOLOIDS

Elliptic paraboloids draw
   
  Information

The surface of the reduced equation

 

the sections of which are either parabolic or elliptical. The case of revolution is obtained by rotating a parabola around its axis of symmetry and turns out to be the geometric locus of the centres of the spheres that pass through a point and are tangential to a plane.

Question

If a half-filled glass is moved in circles, what surface is formed on the surface of the liquid?

Answer  Solution

 Hyperboloids of two sheets

Index

Hyperbolic paraboloids


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