Geometry and Billiards
by Serge Tabachnikov
Number of pages: 186
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections from the boundary. Billiards is not a single mathematical theory, it is rather a mathematician’s playground where various methods and approaches are tested and honed.
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by William Gallatly - F. Hodgson
The author expresses his 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.
by Felix Klein - Ginn and Co.
Professor Pelix Klein presented in this book a discussion of the three famous geometric problems of antiquity -- the duplication of the cube, the trisection of an angle, and the quadrature of the circle, as viewed in the light of modern research.
by James A. Smith - viXra
Geometric Algebra (GA) promises to become a universal mathematical language. This document reviews the geometry of angles and circles, then treats rotations in plane geometry before showing how to formulate problems in GA terms, then solve them.
Online edition of Euclid's Elements, one of the most beautiful and influential works of science in the history of humankind. The text of all 13 Books is complete, and all of the figures are illustrated using a Java applet called the Geometry Applet.