A property of Euler's elastic curve (Q5953270)
From MaRDI portal
scientific article; zbMATH DE number 1693719
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A property of Euler's elastic curve |
scientific article; zbMATH DE number 1693719 |
Statements
A property of Euler's elastic curve (English)
0 references
11 March 2002
0 references
Euler and Legendre found formulas for certain products of elliptic integrals. Legendre's proof is sketched, and Euler's method is generalized to prove a more general formula which may be interpreted as a property of a curve generalizing Euler's elastic curve.
0 references
elliptic integral
0 references
lemniscate
0 references
elastic curve
0 references
