Paperback. 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. 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. 1929 edition. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Bibliographic Details

Title: Advanced Euclidean Geometry (Paperback)
Publisher: Dover Publications Inc., New York
Publication Date: 2007
Language: English
ISBN 10: 0486462374
ISBN 13: 9780486462370
Binding: Paperback
Condition: new

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Synopsis

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. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises. 1929 edition.

Synopsis

This dated textbook proves theorems establishing the geometry of circles and triangles, focusing on the theorems of Casey, Miguel, Ceva, Menelaus, Euler, Mackay, Feuerbach, Desargues, Pascal, and Brocard. An unabridged republication of the Dover edition published in 1960 and the Houghton Mifflin edition published in 1929 as Modern geometry. Annotat

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