Advanced Euclidean Geometry (Dover Books on MaTHEMA 1.4tics) - Softcover
Book 165 of 302: Dover Books on Mathematics
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.
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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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Advanced Euclidean Geometry (Paperback)
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Dover Publications Inc., New York, 2007
ISBN 10: 0486462374
ISBN 13: 9780486462370
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Paperback. Condition: new. 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 multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486462370