in the samedirection. The section by any plane parallel to z = 0 is an ellipse ifthe plane be on the positive side of ^ = 0, and is imaginary ifthe plane be on the negative side of z = {). Hence thesurface is entirely on the positive side of the plane ^ = 0, andextends to an infinite distance. The… … The surface is on both sides of the plane s = 0, andextends to an infinite distance in both directions. 5-i THE PARABOLOID. The section by the plane 2: = 0 is the two straight lines of y^given by the equation y — ^ = 0. The section by any plane parallel to z = 0 is an hyperbola: on one side of the…
Geometry, Analytic -- Solid
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