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The Duality Theorem for Curves of Order n in n-Space

Published online by Cambridge University Press:  20 November 2018

Douglas Derry
Douglas Derry*
Affiliation:
University of British Columbia
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Extract

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Let Cn be a curve in real projective n-space which is a continuous 1— 1 image of either the projective line or one of its closed segments. Consequently its points depend continuously on a real variable s for which , with the understanding that s = 0 and s = 1 represent the same curve point in the case that Cn is the image of the complete projective line. The points of Cn will be described by their corresponding real numbers s.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 159 - 163
Copyright
Copyright © Canadian Mathematical Society 1951

References

1 Scherk., P. Über differenzierbare Kurven und Bögen II. Casopis pro ptstovàní, matematiky fysiky 66 (1937), 172–191.Google Scholar