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1948•Proceedings of the Edinburgh Mathematical SocietyOpen access

A geometrical note on the Binary Cubic Form

Tyler D. Scott

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Cubic form, Cubic surface, Cubic function, Binary number, Cubic crystal system, Geometry, Plane (geometry), Triad (sociology)

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