Logo

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

Large book cover: Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems

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

Publisher: Open Court Publishing Co.
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.

Home page url

Download or read it online for free here:
Download link
(multiple formats)

Similar books

Book cover: Hyperbolic GeometryHyperbolic Geometry
by - 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.
(11093 views)
Book cover: Geometry with an Introduction to Cosmic TopologyGeometry with an Introduction to Cosmic Topology
by
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.
(7136 views)
Book cover: Neutral and Non-Euclidean GeometriesNeutral and Non-Euclidean Geometries
by - 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.
(12035 views)
Book cover: Non-Euclidean Geometry: A Critical and Historical Study of its DevelopmentNon-Euclidean Geometry: A Critical and Historical Study of its Development
by - 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.
(10086 views)