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ET7246 - Geometry and Trigonometry
Dr. David R. Wilkins
Axiom Systems for Synthetic Geometry
Hilbert's Axioms
Eliakim Hastings Moore, “One the Projective Axioms of Geometry”,
Transactions of the American Mathematical Society
, Vol. 3, No. 1 (1902), pp. 142–158
(on JSTOR)
Birkhoff's Axioms
George D. Birkhoff, “A Set of Postulates for Plane Geometry, Based on Scale and Protractor”,
Annals of Mathematics
, Vol. 33, No. 2 (1932), pp. 329–345
(on JSTOR)
Tarski's Axioms
Alfred Tarski and Steven Givant, “Tarski's System of Geometry”,
The Bulletin of Symbolic Logic
, Vol 5. No. 2 (1999), pp. 175–214
(on JSTOR)
General
Marvin Jay Greenberg, “Old and New Results in the Foundations of Elementary Plane Euclidean and Non-Euclidean Geometries”,
The American Mathematical Monthly
, Vol 117, No. 3 (2010), pp. 198–219
(on JSTOR)
Dr. David R. Wilkins
,
School of Mathematics
,
Trinity College Dublin
.