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单词 elliptic paraboloid
释义

elliptic paraboloid

A quadric whose equation in a suitable coordinate system is

Here the yz‐plane and the zx‐plane are planes of symmetry. Sections by planes z = k, where k ≥ 0, are ellipses. Sections by planes parallel to the yz‐plane and to the zx‐plane are parabolas. Planes through the z‐axis cut the paraboloid in parabolas with vertex at the origin.

An elliptical paraboloid in normal form

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更新时间:2025/4/29 16:03:25