Steiner曲面与切平面的交线

hbghlyj · Posted at 2024-12-8 00:01:45

Steiner曲面$x^{2} y^{2}+x^{2} z^{2}+y^{2} z^{2}-x y z=0$
Britannica:

Each of its tangent planes has the characteristic property that it intersects the surface in a pair of conics.

如何证明切平面的截线是2条二次曲线呢

(可能是虚的)

hbghlyj · Posted at 2024-12-8 03:24:20

做不出

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[几何] Steiner曲面与切平面的交线