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An Analytic Proof of a Theorem of Felix Klein

Published online by Cambridge University Press:  20 November 2018

Gareth J. Griffith
Gareth J. Griffith*
Affiliation:
University of Saskatchewan, Saskatoon, Saskatchewan
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In 1876, Klein published the following result: “If a crunode of a real, irreducible, plane, algebraic curve changes into an acnode via the intermediary stage of a real cusp, two real inflexions are introduced in a neighborhood of the double points” [2].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 565 - 567
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Coolidge, J. L., A treatise on algebraic, plane curves, Dover, New York (1959), 113-114.Google Scholar
2. Klein, F., Eine neue Relation zwischen den Singulariten einer algebraischen Curve, Math. Ann. Vol. X, 1876.Google Scholar
3. Semple, J. G. and Roth, L., Introduction to algebraic geometry, Oxford Univ. Press, London (1959), 103–104.Google Scholar