Chapter Five
Spherical Geometry
Perhaps to the student there is no part of elementary mathematics so repulsive as is spherical geometry.
—Exit book to another website.Peter Guthrie Tait (1831-1901)
Article on Quaternions Encyclopaedia Britannica (1911)

The sections hopefully will be written in the future; until then, here are a few web links to get you started in your investigations followed by a draft outline and draft sections.

Dynamic Explorations
      Exit book to another website. Spherical Easel a java exploration of the Riemann Sphere model.
      Exit book to another website. Java exploration of the Riemann Sphere model by David Little at Penn State University.

Books
     Exit book to another website. Geometry and Its Applications by Walter A. Meyer (Google books)

Papers
     Exit book to another website. Exploration of Spherical Geometry by Michael Bolin

Web Text for Teacher Workshop
     Exit book to another website. The Geometry of a Sphere by John C. Polking

Wiki 
     Exit book to another website. Introduction to Spherical Geometry 
     Exit book to another website. The Three Geometries
     Exit book to another website. Wikipedia on Spherical Geometry

The following is an outline of possible sections and the beginnings of draft sections. The outline and sections are incomplete.

Section 5.1 -
        Introduction
        Historical Overview

Section 5.2 -
        Models for Spherical and Elliptic Geometry

Section 5.3 -
         Hilbert's Axioms for Euclidean Geometry Modified for Plane Elliptic Geometry
                 

 

Table of Contents

  Timothy Peil  Mathematics Dept.  MSU Moorhead

© Copyright 2013 - Timothy Peil