Difference between revisions of "Lamé curve"
From Encyclopedia of Mathematics
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Revision as of 18:53, 24 March 2012
A plane algebraic curve whose equation in rectangular Cartesian coordinates has the form
where , and are coprime numbers, and . The order of Lamé's curve is if and if . If , Lamé's curve is a straight line, if it is an ellipse, and if and it is an astroid. The Lamé curves are named after G. Lamé, who considered them in 1818.
References
[1]  A.A. Savelov, "Planar curves" , Moscow (1960) (In Russian) 
Comments
References
[a1]  K. Fladt, "Analytische Geometrie spezieller ebener Kurven" , Akad. Verlagsgesell. (1962) 
[a2]  F. Gomes Teixeira, "Traité des courbes" , 1–3 , Chelsea, reprint (1971) 
How to Cite This Entry:
Lamé curve. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lam%C3%A9_curve&oldid=11566
Lamé curve. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lam%C3%A9_curve&oldid=11566
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics  ISBN 1402006098. See original article