Recently I've been trying my hand at a few geometrical construction problems using just a straight edge and a compass. So far I have constructed the following:
- an equilateral triangle
- a square
- a regular pentagon
- a circle circumscribed about a triangle
- a circle inscribed in a triangle
- a parallel line through a point
- a perpendicular line through a point
- a bisected angle
- a segment cut into $n$ congruent segments
I can't think of anything else to do other than just regular polygons, and I can't find a good list online. Can anyone think of any other constructions that I could try? I'm new to this, so if you give me something incredibly difficult, I may need a hint.
Thank you!