Geometry — Directed Reading Program (Spring 2026)
References/Resources
Here are our main references. Depending on where we take this reading project, we may supplement them with extra references.
- Geometry: Euclid and Beyond, by Robin Hartshorne
- Elements, by Euclid. Here are two different translations.
And here are some recommended resources.
- We'll be studying straight-edge and compass constructions, so you might want to get a compass. I have this one, but there are many cheaper options.
- If you don't have a compass, you can still make straight-edge and compass constructions inside Geogebra.
- Euclidea is a mobile "game" about straight-edge and compass constructions.
Final presentation topic suggestions
I'll update this as we progress.
- Presenting a proof using compass and straight-edge constructions. E.g. presenting Euclid's proof of the Pythagorean theorem.
- The history and significance of Euclid's 5th Postulate (also known as his Parallel Postulate).
- Arithmetic using straightedge and compass. i.e. We've discussed constructing addition, multiplication, etc.
- Hilbert's axioms, and different models of geometries that stem from it.
Schedule/Assignments
-
Presemester/Week 0:
-
Week 1:
-
Week 2:
-
Week 3:
-
Week 4:
-
Week 5:
-
Week 6:
-
Week 7: