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.
(4310 views)
Book cover: The Elements Of Non-Euclidean GeometryThe Elements Of Non-Euclidean Geometry
by - 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.
(7053 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.
(5896 views)
Book cover: The Elements of Non-Euclidean GeometryThe Elements of Non-Euclidean Geometry
by - G.Bell & Sons Ltd.
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.
(5168 views)