Lamé curve
From Encyclopedia of Mathematics
Revision as of 07:54, 26 March 2012 by Ulf Rehmann (talk | contribs) (moved Lame curve to Lamé curve over redirect: accented title)
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=32042
Lamé curve. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lam%C3%A9_curve&oldid=32042
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article