#### Description

Hilbert's axioms for Euclidean Geometry. Neutral Geometry: The consistency of the hyperbolic parallel postulate and the inconsistency of the elliptic parallel postulate with neutral geometry. Models of hyperbolic geometry. Existence and properties of isometries.

#### Prerequisites

1 course with a minimum grade of C- from (MATH240, MATH341, MATH461).

Level of Rigor

Standard

Sample Textbooks

The Four Pillars of Geometry, by J. Stillwell

Foundations of Geometry, by G.A. Venema.

Applications

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Additional Notes