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paraboloid British & World English

a solid generated by the rotation of a parabola about its axis of symmetry

paraboloid of revolution in paraboloid British & World English

a solid generated by the rotation of a parabola about its axis of symmetry

hyperbolic paraboloid British & World English

a surface whose section parallel to one properly oriented coordinate plane is a hyperbola and whose sections parallel to the other two coordinate planes are parabolas