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This section contains free e-books and guides on Modern Geometry, some of the resources in this section can be viewed online and some of them can be downloaded.

Modern Geometry Books
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Modern Elementary Geometry

PDF | 164 Pages | English
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.

 
Introductory modern geometry of point, ray, and circle

Online | 164 Pages | English
This book explains all the fundamental concepts in modern geometry.

 
Modern Geometry Gilbert Lecture Notes

PDF | 230 Pages | English
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.

 
The modern geometry of the triangle

Online | 148 Pages | English
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.

 
Modern Geometry by Wayne Aitken

Online | NA Pages | English
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.

 
Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise

Online | 248 Pages | English
The objective of this book is to lay down and illustrate the more elementary principles of those Geometrical Methods which, in recent times, have been so successfully employed to investigate the properties of figured space.

 
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