- Trisecting an angle (dividing a given angle into three equal angles),
- Squaring a circle (constructing a square with the same area as a given circle), and
- Doubling a cube (constructing a cube with twice the volume of a given cube).
Told that these problems could only be proved with abstract algebra. I have no idea how to start. I have found this page.
I have an idea of what is being said, but no idea about how to exactly prove this. Any pointers would be helpful.