Stahl S. Geometry from Euclid to Knots

Mineola, New York, USA: Dover Publications, Inc., 2010. — 480 p. — (Dover Books on Mathematics). — ISBN13: 9780486474595.Designed to inform readers about the formal development of Euclidean geometry and to prepare prospective high school mathematics instructors to teach Euclidean geometry, this text closely follows Euclid's classic, Elements. The text augments Euclid's statements with appropriate historical commentary and many exercises - more than 1,000 practice exercises provide readers with hands-on experience in solving geometrical problems.
In addition to providing a historical perspective on plane geometry, this text covers non-Euclidean geometries, allowing students to cultivate an appreciation of axiomatic systems. Additional topics include circles and regular polygons, projective geometry, symmetries, inversions, knots and links, graphs, surfaces, and informal topology. This republication of a popular text is substantially less expensive than prior editions and offers a new Preface by the author.Other Geometries: A Computational Introduction
The Neutral Geometry of the Triangle
Nonneutral Euclidean Geometry
Circles and Regular Polygons
Toward Projective Geometry
Planar Symmetries
Inversions
Symmetry in Space
Informal Topology
Graphs
Surfaces
Knots and Links
Appendixes
A Brief Introduction to The Geometer's Sketchpad
Summary of Propositions
George D. Birkhoff's Axiomatization of Euclidean Geometry
The University of Chicago School Mathematics Project's Geometrical Axioms
David Hilbert's Axiomatization of Euclidean Geometry
Permutations
Modular Arithmetic