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Review title: Great intro
Product review: This book provides a great intro to non-standard geometries by creating different axiomatic systems and finding models of them. It then constructs and analyzes operators (addition, multiplication, and the like) on the plane. It devotes a good section to discussing the Desargues and Pappus properties and their fundamentality in most geometries. A good treatise of projective geometry follows, and the book ends with a quick skim of metric geometries and non-euclidean geometries. This is not a good book if you are planning to study Hyperbolic, Spherical or Elliptical geometry, nor does it do a fair treatment of the effects of a metric on a geometry, but it does provide a short, comprehensive intro to axiomatic coordinate geometry.
