Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-26T16:18:26.833Z Has data issue: false hasContentIssue false
  • English
  • Français

30.—The Chord Locus of a Certain Curve in [n]*

Published online by Cambridge University Press:  14 February 2012

W. L. Edge
W. L. Edge
Affiliation:
Department of Mathematics, University of Edinburgh
Get access Rights & Permissions [Opens in a new window]

Synopsis

The sharing of a common self-polar simplex by n−1 quadrics in [n] confers special features on their curve of intersection Γn. The three-dimensional locus Mn of chords of Γn. has certain singularities, some of which are described. In conclusion, a few comments refer to the case n = 4 when Mn is defined by a single equation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 71 , Issue 4 , 1974 , pp. 337 - 343
Copyright
Copyright © Royal Society of Edinburgh 1974

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

References to Literature

Baker, H. F., 1925. Principles of Geometry, 4, C.U.P.Google Scholar
Edge, W. L., 1967. A new look at the Kummer surface. Can. Jl Math., 19, 925–967.Google Scholar
Edge, W. L., 1970. The tacnodal form of Humbert's sextic. Proc. Roy. Soc. Edinb., 68A, 257–269.Google Scholar
Edge, W. L., 1974. Osculatory properties of a certain curve in [n]. Proc. Camb. Phil. Soc. Math. Phys. Sci., 75, 331–344.CrossRefGoogle Scholar
Zeuthen, H. G., 1871. Nouvelle démonstration de théorèmes sur des séries de points correspondants sur deux courbes. Math. Annln, 3, 150–156, 323–324.CrossRefGoogle Scholar
Zeuthen, H. G., 1914. Lehrbuch der abzählenden Methoden der Geometrie. Leipzig und Berlin: Teubner.Google Scholar