An introductory geometry course for mathematics students:
Metric spaces
Euclidean: general, 3D isometries
Spherical: general, area of triangle, isometries, unique properties
Hyperbolic: general, isometries
Affine
Projective: perspective, projective
Comparative overview
A geometry course “for poets”:
Syllabus
Workshops
Discussion questions for my history and philosophy of geometry podcast episodes
Optional supplementary source readings corresponding to my podcasts
Discussion questions for reading Euclid
Accompanying visual edition of Euclid's Elements I:
Euclid’s proofs in fill-in-the-blanks worksheets format, to be used along with my Euclid cards. Alternatively, my visual Elements edition. Real Euclid, illustrated. Focus on geometry instead of decoding ABCD cryptograms. This selection covers the core of Book I of Euclid’s Elements. The text is Euclid’s own, but I have added step-by-step figures for each stage of the arguments. See also reference tables and dependency graph for the propositions in my edition of Euclid Book I (adopted from elsewhere).