**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

**Geometry with an Introduction to Cosmic Topology**

by

**Mike Hitchman**

This text develops non-Euclidean geometry and geometry on surfaces at a level appropriate for undergraduate students who completed a multivariable calculus course and are ready to practice habits of thought needed in advanced undergraduate courses.

(

**2990**views)

**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.

(

**6132**views)

**Neutral and Non-Euclidean Geometries**

by

**David C. Royster**-

**UNC Charlotte**

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.

(

**7716**views)

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

by

**Roberto Bonola**-

**Open Court Publishing Company**

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.

(

**6574**views)