Geometry - Basic, Teacher’s Edition

Lecture notes from Texas Tech that build geometry from absolute axioms through Euclidean and non-Euclidean systems. Solid pick for math undergraduates moving past school geometry.

Razvan Gelca

College geometry course from the University of South Carolina that walks through Euclidean and non-Euclidean systems with Geometer's Sketchpad as a working tool. Strong on visual proofs and explorations.

University of South Carolina

Open textbook from City University of New York covering lines, angles, triangles, similarity, and trigonometry. The 2021 edition adds corrections and new diagrams, making it one of the most polished free college geometry books.

Henry Africk

Rigorous treatment of geometry built on Hilbert's axioms, starting from incidence and betweenness and reaching the parallel postulate in 256 pages. Best read after a first course in Euclidean geometry.

Oleg A. Belyaev

Open textbook prepared for the African Virtual University by Marcos Cherinda, with chapters on synthetic Euclidean geometry, transformations, and applications drawn from ethnomathematics.

Marcos Cherinda