Applying 19thcentury Algebra to Ancient Problems of Geometry
Ruslan Muslumov
Abstract: The Greek mathematicians were fascinated by geometrical constructions. Using only an unmarked ruler and a pair of compasses, they bisected angles, trisected line segments, and constructed squares with the same area as a given polygon. But there were three types of construction that defeated them:
1. Doubling a cube,
2. Trisecting an angle,
3. Squaring the circle.
These problems all date from the 4thcentury B.C., and throughout the next two millennia valid constructions were sought without success.
I will try to sketch how the 19thcentury hapless French mathematician Galois work is the fundamental tool to be able to give the proper answer to these questions.
Date: Monday, February 24, 2020
Time: 13:00
Place: TB130
