Lamé curve
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
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