This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems.
For many years, this elementary treatise on advanced Euclidean geometry has been the standard textbook in this area of classical mathematics; no other book has covered the subject quite as well. It explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises.
The author makes liberal use of circular inversion, the theory of pole and polar, and many other modern and powerful geometrical tools throughout the book. In particular, the method of ""directed angles"" offers not only a powerful method of proof but also furnishes the shortest and most elegant form of statement for several common theorems. This accessible text requires no more extensive preparation than high school geometry and trigonometry.
By:
Roger A. Johnson Imprint: Dover Country of Publication: United States Dimensions:
Height: 214mm,
Width: 136mm,
Spine: 16mm
Weight: 345g ISBN:9780486462370 ISBN 10: 0486462374 Series:Dover Books on Mathema 1.4tics Publication Date:31 August 2007 Audience:
College/higher education
,
A / AS level
,
Further / Higher Education
Format:Paperback Publisher's Status: Unspecified
Introduction Similar Figures Coaxal Circles and Inversion Triangles and Polygons Geometry of Circles Tangent Circles The Theorem of Miquel Theorems of Ceva and Menelaus Three Notable Points Inscribed and Escribed Circles The Nine Point Circle Symmedian Point and Other Notable Points Triangles in Perspective Pedal Triangles and Circles Shorter Topics The Brocard Configuration Equibrocardal Triangles Three Similar Figures Index
