An Elementary Course in Synthetic Projective Geometry
by Derrick Norman Lehmer
Publisher: Project Gutenberg 2005
Number of pages: 120
The following course is intended to give, in as simple a way as possible, the essentials of synthetic projective geometry. Enough examples have been provided to give the student a clear grasp of the theory. The student should have a thorough grounding in ordinary elementary geometry.
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by E O Harriss - Mathematicians.org.uk
Contents: Background Material (Euclidean Space, Delone Sets, Z-modules and lattices); Tilings of the plane (Periodic, Aperiodic, Penrose Tilings, Substitution Rules and Tiling, Matching Rules); Symbolic and Geometric tilings of the line.
by Alfred North Whitehead - Cambridge University Press
In this book, after the statement of the axioms, the ideas considered are those concerning the association of Projective and Descriptive Geometry by means of ideal points, point to point correspondence, congruence, distance, and metrical geometry.
by Oleg A. Belyaev - Moscow State University
A continually updated book devoted to rigorous axiomatic exposition of the basic concepts of geometry. Self-contained comprehensive treatment with detailed proofs should make this book both accessible and useful to a wide audience of geometry lovers.
by L. Henkin, P. Suppes, A. Tarski - North Holland Publishing Company
The volume naturally divides into three parts. Part I consists of 14 papers on the foundations of geometry, Part II of 14 papers on the foundations of physics, and Part III of five papers on general problems and applications of the axiomatic method.