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A property of quartic curves with two cusps and one node

Published online by Cambridge University Press:  31 October 2008

E. J. F. Primrose
E. J. F. Primrose
Affiliation:
University College, Leicester.
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Extract

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1. A method of characterising plane curves was given by Plücker, who showed that the degree (n), the class (m), and the numbers of nodes (δ), bitangents (τ), cusps (κ), and inflexional tangents (ι) are connected by three independent relations. He showed also that n and m, δ and τ, κ and ι are dual pairs.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 39 , January 1954 , pp. 1 - 3
Copyright
Copyright © Edinburgh Mathematical Society 1954

References

1 I am indebted to the referee for these results.