Chapter 3 NON-EUCLIDEAN GEOMETRIES

Because of Theorem 3.1.6, the geometry P 2 cannot be a model for Euclidean plane geometry, but it comes very ‘close’. Fix a plane passing through the origin in 3-space and call it the Equatorial Plane by analogy with the plane through the equator on the earth. 3.1.7 Example. Denote by E 2 the geometry in which the E-points consist of all lines ................
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