Namespaces
Variants
Actions

Barbier theorem

From Encyclopedia of Mathematics
Revision as of 01:15, 29 April 2014 by Ivan (talk | contribs) (TeX)
Jump to: navigation, search

on curves of constant width

If the distance between any two parallel supporting straight lines to a curve is constant and equal to $a$, then the length of the curve is $\pi a$. Discovered by E. Barbier in 1860.


Comments

The original work of E. Barbier is [a1].

References

[a1] E. Barbier, "Note sur le problème de l'ainguille et le jeu du joint couvert" J. Math. Pure Appl. , 5 (1860) pp. 273–286
[a2] T. Bonnesen, W. Fenchel, "Theorie der konvexen Körper" , Springer (1934)
How to Cite This Entry:
Barbier theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Barbier_theorem&oldid=17513
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article