Advanced Euclidean Geometry by Roger A. Johnson (English) Paperback Book

Description: Advanced Euclidean Geometry by Roger A. Johnson 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Table of Contents 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 Long Description 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. Details ISBN0486462374 Author Roger A. Johnson Short Title ADVD EUCLIDEAN GEOMETRY Language English ISBN-10 0486462374 ISBN-13 9780486462370 Media Book Format Paperback DEWEY 516.2 Year 2007 Imprint Dover Publications Inc. Place of Publication New York Country of Publication United States Birth 1930 DOI 10.1604/9780486462370 UK Release Date 2007-11-30 AU Release Date 2007-11-30 NZ Release Date 2007-11-30 US Release Date 2007-11-30 Pages 336 Publisher Dover Publications Inc. Publication Date 2007-11-30 Illustrations Illustrations, unspecified Audience Undergraduate Series Dover Books on Mathema 1.4tics We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:78525678;

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