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

by John William Withers

**Publisher**: Open Court Publishing Co. 1904**ISBN/ASIN**: 1298881366**Number of pages**: 214

**Description**:

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. For this reason I have given in the following pages what might otherwise seem to be an undue prominence to the historical aspect of my general problem.

Download or read it online for free here:

**Download link**

(multiple formats)

## Similar books

**Hyperbolic Geometry**

by

**J.W. Cannon, W.J. Floyd, R. Kenyon, W.R. Parry**-

**MSRI**

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.

(

**4613**views)

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

by

**Silvio Levy**-

**Cambridge University Press**

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.

(

**8331**views)

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

by

**Horatio Scott Carslaw**-

**Longmans, Green and co.**

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.

(

**4661**views)

**The Elements Of Non-Euclidean Geometry**

by

**Julian Lowell Coolidge**-

**Oxford At The Clarendon Press**

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.

(

**7379**views)