Introductory Non-Euclidean Geometry

by Henry Parker Manning

Overview

This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes. Its first two-thirds requires just a familiarity with plane and solid geometry and trigonometry, and calculus is employed only in the final part. It begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. Major topics include hyperbolic geometry, single elliptic geometry, and analytic non-Euclidean geometry. 1901 edition.

Product Details

ISBN-13:	9780486154640
Publisher:	Dover Publications
Publication date:	01/02/2013
Series:	Dover Books on Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	112
File size:	3 MB

Table of Contents

Introduction
I. Pangeometry
I. Propositions Depending Only on the Principle of Superposition
II. Propositions Which Are True for Restricted Figures
III. The Three Hypotheses
II. The Hyperbolic Geometry
I. Parallel Lines
II. Boundary-curves and Surfaces, and Equidistant-curves and Surfaces
III. Trigonometrical Formulae
III. The Elliptic Geometry
IV. Analytic Non-Euclidean Geometry
I. Hyperbolic Analytic Geometry
II. Elliptic Analytic Geometry
III. Elliptic Solid Analytic Geometry
Historical Note