This introduction to Euclidean geometry emphasizes both the theory and the practical application of isometries and similarities to geometric transformations. Contents include modern elementary geometry, isometries and similarities in the plane, vectors and complex numbers in geometry, inversion, and isometries in space. Numerous exercises, many with detailed answers. 1972 edition. Unabridged republication of the edition published by Addison-Wesley Publishing Company, Reading, Massachusetts, 1972.
Taxicab Geometry: An Adventure in Non-Euclidean Geometry by Eugene F. Krause Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.
Excursions in Geometry by C. Stanley Ogilvy A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.
Geometry and Convexity: A Study in Mathematical Methods by Paul J. Kelly, Max L. Weiss This text assumes no prerequisites, offering an easy-to-read treatment with simple notation and clear, complete proofs. From motivation to definition, its explanations feature concrete examples and theorems. 1979 edition.
Foundations of Geometry by C. R. Wylie, Jr. Geared toward students preparing to teach high school mathematics, this text explores the principles of Euclidean and non-Euclidean geometry and covers both generalities and specifics of the axiomatic method. 1964 edition.
Linear Geometry by Rafael Artzy This text stresses the relationship between algebra and linear geometry, examining transformations in the Euclidean plane, affine and Euclidean geometry, projective geometry and non-Euclidean geometries, and axiomatic plane geometry. 1974 edition.
Problems in Euclidean Space: Application of Convexity by H. G. Eggleston This study of convex sets in real Euclidean spaces of 2 or 3 dimensions illustrates the different ways in which convexity can enter into the formulation as the solution. 1957 edition.
Projective Geometry and Projective Metrics by Herbert Busemann, Paul J. Kelly This text examines the 3 classical geometries and their relationship to general geometric structures, with particular focus on affine geometry, projective metrics, non-Euclidean geometry, and spatial geometry. 1953 edition.
