What nobody writes about is something you may wish to consider as a
useful topic for inclusion in a history of mathematics and their application
to engineering problems. (Most engineers don't have the foggiest idea of
who Chebyshev was, even from his mathematical works.)
Not unlike some of his modern counterparts, Chebyshev was paid a pittance
by his universiy. To supplement his income, he took on private clients.
Among the latter was the owner of a huge textile business. With the onset
of the Crimean War, there was a huge demand for army uniforms. Chebyshev
was assigned the task of developing a means of cutting fabrics more economically.
All concerned seemed to believe that the difficulty of forming the shoulder
seam should be the first task that Chebyshev took on. As might be expected,
he saw the fabric, not as a limp piece of material, but as a kind of net.
He became so interested in this that he abandoned his client and went on
to develop a very important theory of cable nets. He wrote a book on the
subject, but it has never been translated. In addition to the arcane mathematical
notations of mid-nineteenth century Russia, the topic, per se, is of little
interest except to a very narrow group of engineers. I think there may
be fifteen of us all told. The class of cable-net structures Chebyshev
described are now referred to as Chebyshev Nets.
Back to Chebyshev.