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单词 hyperboloid of one sheet
释义
hyperboloid of one sheet

Mathematics
  • A quadric whose equation in a suitable coordinate system is

    x2a2+y2b2z2c2=1.

    hyperboloid of one sheet

    Hyperboloid of one sheet in normal form

    The axial planes are planes of symmetry. The section by a plane z = k parallel to the xy‐plane is an ellipse (a circle if a = b). The hyperboloid is all in one piece or sheet. Sections by planes parallel to the other two axial planes are hyperbolas.


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