Blaschke–Lebesgue theorem
Plane geometry theorem on least area of all curves of given constant width / From Wikipedia, the free encyclopedia
In plane geometry the Blaschke–Lebesgue theorem states that the Reuleaux triangle has the least area of all curves of given constant width.[1] In the form that every curve of a given width has area at least as large as the Reuleaux triangle, it is also known as the Blaschke–Lebesgue inequality.[2] It is named after Wilhelm Blaschke and Henri Lebesgue, who published it separately in the early 20th century.