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# Non-Euclidean Geometries

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## e-books in this category

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**Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems**

by **John William Withers** - **Open Court Publishing Co.** , **1904**

The parallel postulate is the only distinctive characteristic of Euclid. To pronounce upon its validity and general philosophical significance without endeavoring to know what Non-Euclideans have done would be an inexcusable blunder ...

(**1861** views)

**Non-Euclidean Geometry: A Critical and Historical Study of its Development**

by **Roberto Bonola** - **Open Court Publishing Company** , **1912**

Examines various attempts to prove Euclid's parallel postulate - by the Greeks, Arabs and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachewsky.

(**4456** views)

**Hyperbolic Geometry**

by **J.W. Cannon, W.J. Floyd, R. Kenyon, W.R. Parry** - **MSRI** , **1997**

These notes are intended as a relatively quick introduction to hyperbolic geometry. They review the wonderful history of non-Euclidean geometry. They develop a number of the properties that are particularly important in topology and group theory.

(**3944** views)

**The Elements of Non-Euclidean Plane Geometry and Trigonometry**

by **Horatio Scott Carslaw** - **Longmans, Green and co.** , **1916**

In this book the author has attempted to treat the Elements of Non-Euclidean Plane Geometry and Trigonometry in such a way as to prove useful to teachers of Elementary Geometry in schools and colleges. Hyperbolic and elliptic geometry are covered.

(**3921** views)

**The Elements of Non-Euclidean Geometry**

by **D.M.Y. Sommerville** - **G.Bell & Sons Ltd.** , **1914**

Renowned for its lucid yet meticulous exposition, this text follows the development of non-Euclidean geometry from a fundamental analysis of the concept of parallelism to such advanced topics as inversion and transformations.

(**4624** views)

**The Elements Of Non-Euclidean Geometry**

by **Julian Lowell Coolidge** - **Oxford At The Clarendon Press** , **1909**

Chapters include: Foundation For Metrical Geometry In A Limited Region; Congruent Transformations; Introduction Of Trigonometric Formulae; Analytic Formulae; Consistency And Significance Of The Axioms; Geometric And Analytic Extension Of Space; etc.

(**5227** views)

**Neutral and Non-Euclidean Geometries**

by **David C. Royster** - **UNC Charlotte** , **2000**

In this course the students are introduced, or re-introduced, to the method of Mathematical Proof. You will be introduced to new and interesting areas in Geometry, with most of the time spent on the study of Hyperbolic Geometry.

(**5422** views)

**The Eightfold Way: The Beauty of Klein's Quartic Curve**

by **Silvio Levy** - **Cambridge University Press** , **1999**

Felix Klein discovered in 1879 that the surface that we now call the Klein quartic has many remarkable properties, including an incredible 336-fold symmetry. This volume explores the rich tangle of properties surrounding this multiform object.

(**5762** views)

**Non-Euclidean Geometry**

by **Henry Manning** - **Ginn and Company** , **1901**

This book gives a simple and direct account of the Non-Euclidean Geometry, and one which presupposes but little knowledge of Mathematics. The entire book can be read by one who has taken the mathematical courses commonly given in our colleges.

(**7795** views)

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