Modern Geometry Books

# Modern Elementary Geometry

## Modern Elementary Geometry

Modern Elementary Geometry

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):

164 Pages
##### Similar Books

Modern Elementary Geometry

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.

164 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.

148 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.

NA Pages

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

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.

248 Pages