## The three ancient Greek construction problems: some history and some solutions |

**Professor Julius Barbanel**

Union College

April 20, 2015

5:00pm

Bailey Hall 207

Refreshments will be served in Bailey Hall 204 4:45pm

Ancient Greek mathematicians struggled with three geometric construction problems:They were unable to solve any of these problems using the traditional Euclidean ruler-and-compass tools. However, they did solve all three using so-called “mechanical methods”. We shall discuss the history of these three problems and present two mechanical solutions.

- Trisect an arbitrary angle
- Square the circle (i.e., given a circle, construct a square having the same area)
- Double the cube (i.e., given a cube, construct another cube having twice the volume)

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: Sun Sep 23 23:19:58 EDT 2018 |