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Univocal Curves and Algebraic Curves on a Quadric Surface

Published online by Cambridge University Press:  03 November 2016

R. W. H. T. Hudson
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Extract

§ 1. The projective theory of conies is based chiefly on the fact that a conic is a unieursal curve, and the simplest analytical method of treatment is to take for reference a triangle formed by two tangents and their chord of contact, so that with suitable multiples of distances for coordinates the equation of the conic may be written in the form

y2 — xz=0.

Type
Research Article
Information
The Mathematical Gazette , Volume 3 , Issue 46 , July 1904 , pp. 56 - 60
Copyright
Copyright © Mathematical Association 1904

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References

page 57 note * “Courbe univoque.” See Humbert, Journal de Math. 1893, ser. 4, t. 9, p. 154.

page 58 note * Nöther’s theorem, Math. Annalen. Bd. 6, p. 351, Bd. 52, p. 593.

page 59 note * Cayley. Coll. Papers, vol. V., p. 7.

page 60 note * Bull, de la Soc. math, de France, vol. I., p. 19.