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Published online by Cambridge University Press: 20 January 2009
In this paper we consider the correspondence between tangential quadrics of [3] and points of [9]. Godeaux has considered this geometrically, with the object of obtaining a representation for a twisted cubic of three dimensions. We have considered it from a standpoint more algebraic than that of Godeaux, with particular reference to the types of pencils of quadrics that correspond to special lines of [9], and to the interpretation in [9] of the fact that the condition for a net of quadrics to be part of the polar system of a cubic surface is poristic.
page 14 note 1 “La géométrie de la cubique gauche,” Bulletin de la Soc. Roy. des Sciences de Liége (3) 14 (1927).Google Scholar
page 15 note 1 Represented by quartics with two fixed double points.
page 17 note 1 Bromwich, Quadratic Forms and their classification by means of Invariant Factors,Cambridge Tract No. 3.
page 19 note 1 Hesse, O., Werke, p. 376 = Journal für Math., 49 (1855), p. 279.Google Scholar
page 20 note 1 See Salmon, ; Geometry of Three Dimensions (4th ed. 1882), p. 209.Google Scholar
page 25 note 1 See Edge, “A special net of quadrics,” Proc. Edin. Math. Soc. (2) 4 (1936) 185.CrossRefGoogle Scholar
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