The Foundations of Geometry

AMSI TIMES guide for Years 7-8 covering the basic objects of plane geometry: points, lines, angles, and the first results about parallel lines and triangles.

Peter Brown, Michael Evans, David Hunt

Modern, minimalist introduction to Euclidean and neutral geometry built up from the metric-space approach. Covers inversions, hyperbolic geometry, and the foundations of non-Euclidean ideas with full proofs and exercises.

Anton Petrunin

Classic 1911 plane and solid geometry textbook from the University of Chicago that pairs each theorem with worked problems and applications. Covers congruence, similarity, areas, volumes, and the regular solids.

H. E. Slaught, N. J. Lennes

Wentworth and Smith's classic plane geometry text, the standard high school book of its era. Builds Euclidean geometry from postulates through congruence, parallels, circles, similar figures, and area in clear sequential steps.

George Wentworth, David Eugene Smith