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A survey of classical and modern geometries
This note explains the following topics: Euclidean geometry, Geometry in Greek astronomy, Constructions using a compass and straightedge, Geometers sketchpad, Higher dimensional objects, Hyperbolic geometry, The poincare models of hyperbolic geometry, Tilings and lattices, Foundations, Spherical geometry, Projective geometry, The pseudosphere in lorentz space, Finite geometries, Nonconstructibility, Modern research in geometry , A selective time line of mathematics.
Author(s): Arthur Baragar, University of Nevada
340 Pages 
A survey of classical and modern geometries
This note explains the following topics: Euclidean geometry, Geometry in Greek astronomy, Constructions using a compass and straightedge, Geometers sketchpad, Higher dimensional objects, Hyperbolic geometry, The poincare models of hyperbolic geometry, Tilings and lattices, Foundations, Spherical geometry, Projective geometry, The pseudosphere in lorentz space, Finite geometries, Nonconstructibility, Modern research in geometry , A selective time line of mathematics.
Author(s): Arthur Baragar, University of Nevada
340 Pages
This note covers the following topics: The classical theorem of Ceva, Ceva, Menelaus and Selftransversality, The general transversality theorem, The theorems of Hoehn and Pratt-Kasapi, Circular products of ratios involving circles, Circle transversality theorems, A basic lemma and some applications, Affinely Regular Polygons, Linear transformations; smoothing vectors, Affine-Regular Components, The general Napoleon's Theorem, The iteration of smoothing operations.
Author(s): Branko Grunbaum
164 Pages
Introductory modern geometry of point, ray, and circle
This book explains all the fundamental concepts in modern geometry.
Author(s): William Benjamin Smith
164 Pages
Modern Geometry by Wayne Aitken
This is a course note on Euclidean and non-Euclidean geometries with emphasis on (i) the contrast between the traditional and modern approaches to geometry, and (ii) the history and role of the parallel postulate. This course will be useful to students who want to teach and use Euclidean geometry, to students who want to learn more about the history of geometry, and to students who want an introduction to non-Euclidean geometry.
Author(s): Dr. Wayne Aitken
NA Pages