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4.—The Principal Chords of an Elliptic Quartic*

Published online by Cambridge University Press:  14 February 2012

W. L. Edge
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Synopsis

The curve Γ common to two quadric surfaces has 24 principal chords; they are the sides of six skew quadrilaterals each of which has for its two diagonals a pair of opposite edges of that tetrahedron S which is self-polar for both quadrics. These three pairs of quadrilaterals serve to identify the three pairs of quadrics through Γ that are mutually apolar.

The vertices of the quadrilaterals lie four on each edge of S. Both nodes of the plane projection of Γ from such a vertex are biflecnodes.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 71 , Issue 1 , 1972 , pp. 43 - 50
Copyright
Copyright © Royal Society of Edinburgh 1972

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References

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