Abstract
AbstractWe propose a variation of Hilbert’s axioms for euclidean geometry which appears to us to be more intuitive, and which supports more directly Euclid’s original approach to the criteria for congruence of triangles.
Funder
Eberhard Karls Universität Tübingen
Publisher
Springer Science and Business Media LLC
Reference11 articles.
1. Freudenthal H (1961) Die Grundlagen der Geometrie um die Wende des 19. Jahrhunderts. Math Phys Semesterber 7:2–25
2. Grattan-Guiness I (ed) (2005) Landmark writings in western mathematics 1640–1940. Elsevier, Amsterdam
3. Hartshorne R (2000) Geometry: Euclid and beyond. Springer, New York
4. Hempel CG (1945) Geometry and empirical science. Am Math Mon 52:7–17
5. Hilbert D (1971) Foundations of geometry, 2nd edn. Open Court, La Salle (English edn)
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2 articles.
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