ADVANCED EUCLIDEAN GEOMETRY DOVER BOOKS ON MATHEMATICS

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Advanced Euclidean Geometry

Author : Roger A. Johnson
ISBN : 9780486154985
Genre : Mathematics
File Size : 66.32 MB
Format : PDF, Kindle
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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 : 26.10 MB
Format : PDF, Docs
Download : 797
Read : 961

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

Advanced Euclidean Geometry

Author : Roger A. Johnson
ISBN : CORNELL:31924107164471
Genre : Mathematics
File Size : 33.39 MB
Format : PDF, Docs
Download : 538
Read : 413

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 : 24.32 MB
Format : PDF, ePub, Mobi
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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 : 48.94 MB
Format : PDF, Kindle
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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

Exploring Advanced Euclidean Geometry With Geogebra

Author : Gerard A. Venema
ISBN : 9780883857847
Genre : Mathematics
File Size : 71.77 MB
Format : PDF, ePub, Docs
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This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincaré disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.
Category: Mathematics

Advanced Euclidean Geometry

Author : Alfred S. Posamentier
ISBN : 1930190859
Genre : Mathematics
File Size : 38.30 MB
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CD-ROM contains: Interactive sketches using The geometer's sketchpad (not included).
Category: Mathematics

Elementary Euclidean Geometry

Author : C. G. Gibson
ISBN : 0521834481
Genre : Mathematics
File Size : 48.52 MB
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This book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.
Category: Mathematics

Euclidean Geometry And Transformations

Author : Clayton W. Dodge
ISBN : 0486434761
Genre : Mathematics
File Size : 80.5 MB
Format : PDF
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Read : 1128

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

Introductory Non Euclidean Geometry

Author : Henry Parker Manning
ISBN : 9780486442624
Genre : Mathematics
File Size : 89.30 MB
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This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes. It begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. Major topics include hyperbolic geometry, single elliptic geometry, and analytic non-Euclidean geometry. 1901 edition.
Category: Mathematics