This book presents plane geometry following Hilbert´s axiomatic system. It is inspired on R. Hartshorne´s fantastic book Geometry: Euclid and beyond, and can be considered as a careful exposition of most of chapter II of that book. It must be remarked that non-euclidean geometries, i.e. geometries not satisfying the fifth postulate of euclid, enter the scene, in a natural way, from the very beginning.
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