## What is the shape of a hanging cable? |

**Susan Niefield**

Union College

January 22, 2013

4:45 pm

Bailey Hall 207

Refreshments will be served in Bailey Hall 204 at 4:30

If you think that a cable suspended between two poles looks like a parabola, you're in good company. Galileo (~1600) thought so, too. But, in 1646 at age 17, Christiaan Huygens showed that Galileo was wrong! Later, Huygens coined the name "catenary" for the shape of a hanging cable. In 1691, Huygens, Leibniz, and one of the Bernoulli brothers, discovered an equation for this curve. In this talk, we will use exponential functions and integral calculus to derive an equation for the catenary curve.

For additional information, send e-mail to math@union.edu or call (518) 388-6246.

Union College Math Department Home PageComments to: math@union.edu Created automatically on: Fri Apr 20 00:40:13 EDT 2018 |