Instructor
Jeffrey O. Bauer
107 Carhart Science
Phone: 402-375-7334
Email: jebauer1@wsc.edu
Course Description: The course presents a formal axiomatic development of neutral and Euclidean geometry with an emphasis on valid arguments. Non-Euclidean geometry will also be investigated.
Textbook: Basic Geometry Jeffrey O. Bauer, (2007). Wayne State College
College Geometry: A Discovery Approach, 2E. Kay, David, (2001). Addison Wesley: Boston, MASS. (ISBN: 0-321-04624-2)
Course Outline
- Points, Lines, Segments, & Angles
- Axiomatic Systems
- Models
- Incidence Geometry
- Metrics
- Angle Measures
- Basic Convexity
- Triangles, Quadrilaterals, & Circles
- Triangles & SAS Hypothesis
- SAS, ASA, SSS Congruence
- Exterior Angle Inequality
- Inequality
- Congruence
- Quadrilaterals
- Circles
- Euclidean Geometry
- Parallelism, Rectangles
- Parallel Projection
- Similar Triangles & Trigonometry
- Regular Polygons
- Circle Theorems
- Area & Volume
- Modern Geometry
- Non-Euclidean Geometries
- Foundations
- Hyperbolic Geometry
- Two Models
- Circular Inversion
- Spherical Geometry