. Plane and solid analytic geometry; an elementary textbook. Fig. 20. Fig. 21. parallel to the X-Z-plane are ellipses whose axes increaseas the section recedes from the origin. Sections made byplanes parallel to the other coordinate planes are parabo- Ch. V, § 33] QUADRIC SURFACES 243 las, which have their axes parallel to the Z-axis. Thissurface is shown in Fig. 20. It is called an elliptic parabo-. Fig. 22 loid. If b = a, — + -(- = 2 cz represents a paraboloid ofa1 a1 revolution about the Z-axis.

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