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A geometrical note on the Binary Cubic Form

Published online by Cambridge University Press:  20 January 2009

T. Scott
Affiliation:
Dumfries Academy.
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An extensive investigation into the geometry associated with the binary cubic form as representing a triad of points on a twisted cubic curve has been carried out by Sturm. The object of the present note is to derive two further geometrical properties, one associated with the twisted cubic, and the other with the rational plane cubic curve.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1948

References

page 87 note 1 Journal für Mathematik, 86 (1879), 121133.Google Scholar

page 88 note 1 Grace and Young, Algebra of Lnvariants, Ch. XI (where the results are derived by means of the Theory of Apolarity).