Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-04T18:34:26.629Z Has data issue: false hasContentIssue false

The osculating spaces of a certain curve in [n]

Published online by Cambridge University Press:  20 January 2009

W. L. Edge
Affiliation:
Mathematical Institute, 20 Chambers Street, Edinburgh EH1 1HZ
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The curve in question is the non-singular intersection Γ of the n − 1 quadric primals

where it is presumed that no two of the n + 1 numbers aj are equal. Define

then it will be seen that the osculating prime of Γ at x = ξ is

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1974

References

REFERENCES

(1) Baker, H. F., Principles of Geometry, Vol. 4 (Cambridge, 1925 and 1940).Google Scholar
(2) Edge, W. L., The osculating solid of a certain curve in [4], Proc. Edinburgh Math. Soc. (2) 17 (1971), 277280.CrossRefGoogle Scholar
(3) Salmon, G., A Treatise on the Analytic Geometry of Three Dimensions (Dublin, 1914).Google Scholar
(4) Segre, C., Introduzione alla geometria sopra un ente algebrico semplicemente infinito, Annali di Matematica (2) 22 (1894), 41142; Opere I (Rome, 1957), 198–304.CrossRefGoogle Scholar
(5) Severi, F., Su alcune questioni di postulazione, Rend. Circ. Mat. Palermo, 17 (1903), 73103.CrossRefGoogle Scholar
(6) Severi, F., Trattato di geometria algebrica (Bologna, 1926).Google Scholar