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On a Net of Tetrahedra Associated with a Space Cubic Curve


     

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It is well known that the locus of a point the feet of the perpendiculars from which to the faces of a tetrahedron lie in a plane is a quadrinodal cubic surface, having nodes at the vertices of the tetrahedron and containing its six edges.
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  • On a Net of Tetrahedra Associated with a Space Cubic Curve

Abstract Views: 190  |  PDF Views: 0

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Abstract


It is well known that the locus of a point the feet of the perpendiculars from which to the faces of a tetrahedron lie in a plane is a quadrinodal cubic surface, having nodes at the vertices of the tetrahedron and containing its six edges.