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Quadric Cylinders
If z does not appear in an equation, its graph will be a cylinder parallel to the zaxis. The cylinder is generated by a line parallel to the zaxis moving along a curve in the plane z = 0. The graph (in space) of is an elliptic cylinder.It intersects any horizontal plane z = z_{0} in an ellipse. The graph of is a parabolic cylinder. The graph of is a hyperbolic cylinder. Cylinders parallel to other axes are similar. The three types of quadric cylinders are shown in Figure 11.1.4. Figure 11.1.4


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