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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 
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
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 Gilbert Lecture Notes
This course will show how geometry and geometric ideas are a part of everyone’s life and experiences whether in the classroom, home, or workplace. In the first chapter of the course notes will cover a variety of geometric topics. The four subsequent chapters cover the topics of Euclidean Geometry, Non-Euclidean Geometry, Transformations, and Inversion. However, the goal is not only to study some interesting topics and results, but to also give “proof” as to why the results are valid.
Author(s): Gilbert
230 Pages
The modern geometry of the triangle
In this little treatise on the Geometry of the Triangle are presented some of the more important researches on the subject which have been undertaken during the last thirty years. The author ventures to express not merely his hope, but his confident expectation, that these novel and interesting theorems some British, but the greater part derived from French and German sources will widen the outlook of our mathematical instructors and lend new vigour to their teaching.
Author(s): William Gallatly
148 Pages