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Advanced Euclidean Geometry Roger A Johnson

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Item specifics

Condition
Very Good: A book that has been read but is in excellent condition. No obvious damage to the cover, ...
Book Title
Advanced Euclidean Geometry
ISBN
9780486462370

About this product

Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486462374
ISBN-13
9780486462370
eBay Product ID (ePID)
59372730

Product Key Features

Number of Pages
336 Pages
Publication Name
Advanced Euclidean Geometry
Language
English
Subject
Geometry / General, Geometry / Algebraic
Publication Year
2007
Type
Textbook
Subject Area
Mathematics
Author
Roger A. Johnson
Series
Dover Books on Mathematics Ser.
Format
Perfect

Dimensions

Item Height
0.6 in
Item Weight
14.4 Oz
Item Length
8.5 in
Item Width
5.4 in

Additional Product Features

Intended Audience
College Audience
LCCN
2007-011655
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
516.2
Table Of Content
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
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., 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., 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.
LC Classification Number
QA474.J6 2007

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