Advanced Euclidean Geometry (Dover Books on Mathematics)
Roger A. Johnson
ISBN 10: 0486462374 ISBN 13: 9780486462370
Published by Dover Publications, 2007
Used
Soft cover
From
Prestige Books, Buxton, DERBY, United Kingdom
Seller rating 4 out of 5 stars
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This specific item is no longer available.
About this Item
Description:
Seller Inventory # EA128
Synopsis:
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.
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Bibliographic Details
Title: Advanced Euclidean Geometry (Dover Books on ...
Publisher: Dover Publications
Publication Date: 2007
Binding: Soft cover
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Advanced Euclidean Geometry
Published by
Dover Publications, Incorporated, 2007
ISBN 10: 0486462374
ISBN 13: 9780486462370
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Advanced Euclidean Geometry (Dover Books on Mathematics)
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Advanced Euclidean Geometry - Dover Books on Mathematcs
Published by
Dover Publications Inc, New York, 2007
ISBN 10: 0486462374
ISBN 13: 9780486462370
Used
Softcover
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Softcover. Condition: Very Good. Dust Jacket Condition: No Dust Jacket. Second Edition; (?). The top and bottom of the book show signs of wear with slight additional wear along the edges of the front cover . These imperfections are mostly cosmetic and do not affect the overall structure or readability of the book. ; "Advanced Euclidean Geometry" (Dover Books on Mathematics) delves into the classical geometry of the triangle and circle, extending traditional Euclidean principles. The book covers topics such as the nine-point circle, geometric transformations, and notable theorems like Ceva's and Menelaus' theorems. Ideal for students and geometry enthusiasts, it offers a deeper understanding of Euclidean concepts through rigorous proofs and geometric insight. ; 13.5 x 21.3 x 1.7 cm; xiii, 319 pages. Seller Inventory # 62365
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