This course examines the foundations of geometry, starting with neutral geometry and proceeding to the classical results in Euclidean geometry about triangles and circles. These include the theorems of Menelaus and Ceva, constructions, and the classification of plane isometries. Axioms for other geometries, such as hyperbolic or spherical are introduced, and these geometries are compared and contrasted with Euclidean geometry. This course also examines historical aspects of mathematics through readings and presentations on various topics.
Offered fall term of odd-numbered years