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    • https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/04%3A_Coordinate_Geometry_in_Three_Dimensions/4.04%3A_The_Paraboloid
      Here a and h are distances such that x=a when z=h, and the length of the semi latus rectum is l=a2/(2h). The section in the plane y=0 is the "nose down" parabola \(x^...Here a and h are distances such that x=a when z=h, and the length of the semi latus rectum is l=a2/(2h). The section in the plane y=0 is the "nose down" parabola x2=a2z/h extending above the xy-plane. The section in the plane x=0 is the "nose up" parabola y2=b2z/h extending below the xy-plane.

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