ADVANCED EUCLIDEAN GEOMETRY DOVER BOOKS ON MATHEMATICS

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Advanced Euclidean Geometry

Author : Roger A. Johnson
ISBN : 9780486154985
Genre : Mathematics
File Size : 57.34 MB
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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.
Category: Mathematics

Advanced Euclidean Geometry

Author : Roger A. Johnson
ISBN : 9780486462370
Genre : Mathematics
File Size : 49.97 MB
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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.
Category: Mathematics

Problems And Solutions In Euclidean Geometry

Author : M. N. Aref
ISBN : 9780486477206
Genre : Mathematics
File Size : 43.56 MB
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Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.
Category: Mathematics

College Geometry

Author : Nathan Altshiller-Court
ISBN : 9780486141374
Genre : Mathematics
File Size : 68.14 MB
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The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.
Category: Mathematics

Excursions In Geometry

Author : Charles Stanley Ogilvy
ISBN : 9780486265308
Genre : Mathematics
File Size : 23.56 MB
Format : PDF
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A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.
Category: Mathematics

Euclidean Geometry And Transformations

Author : Clayton W. Dodge
ISBN : 9780486138428
Genre : Mathematics
File Size : 55.91 MB
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This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
Category: Mathematics

Geometry A Comprehensive Course

Author : Dan Pedoe
ISBN : 9780486131733
Genre : Mathematics
File Size : 59.18 MB
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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Category: Mathematics

Geometry Of Complex Numbers

Author : Hans Schwerdtfeger
ISBN : 9780486135861
Genre : Mathematics
File Size : 79.79 MB
Format : PDF
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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.
Category: Mathematics

Introductory Non Euclidean Geometry

Author : Henry Parker Manning
ISBN : 9780486154640
Genre : Mathematics
File Size : 28.90 MB
Format : PDF
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This fine and versatile introduction begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. 1901 edition.
Category: Mathematics

Taxicab Geometry

Author : Eugene F. Krause
ISBN : 9780486136066
Genre : Mathematics
File Size : 55.66 MB
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Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.
Category: Mathematics