Barbier's theorem is a result in geometry stating that every curve of constant width has a perimeter equal to pi times its width, regardless of the curve's precise shape. It was first published by the French mathematician Joseph-Emile Barbier in 1860. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Statement Form Barbier's Theorem
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Source Barbier's theorem (Wikipedia)
Principal Result Of
Source Wikipedia: Joseph-Émile Barbier
Proved By
Source Barbier's theorem (Wikipedia)
Sources
1. Barbier's theorem (Wikipedia)
Lead section
In geometry, Barbier's theorem states that every curve of constant width has perimeter π times its width, regardless of its precise shape.
- In Branch: Geometry, Lead sentence
Proved By: Joseph-Émile Barbier, Lead sentence, attribution
first published by Joseph-Émile Barbier in 1860
View the SourceWikipedia: Joseph-Émile Barbier
Principal Result Of: Joseph-Émile Barbier, Article textQuote, Principal Result Of: Joseph-Émile Barbier, Article text
Joseph-Émile Barbier (1839-1889) was a French astronomer and mathematician, known for Barbier's theorem on the perimeter of curves of constant width.
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