A methodologically pure proof of a convex geometry problem

Beitrage zur Algebra und Geometrie

Volumn 42, Issue 2, 2001, Pages 401-406

  Pambuccian, Victor ^a  

^a ARIZONA STATE UNIVERSITY WEST   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846784245     PISSN: 01384821     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Boon, A. W.: Die Eulersche Gerade - Ein Beweis. Euclides (Groningen) 57 (1978), 56-57.
2. Coppel, W. A.: Foundations of convex geometry. Cambridge University Press, Cambridge 1998.
3. Coxeter, H. S. M.: A problem of collinear points. Amer. Math. Monthly 55 (1948), 26-28.
4. Coxeter, H. S. M.: Introduction to Geometry. 2nd ed., Wiley Classics, New York 1989.
5. Erickson, M. J.; Flowers, J.: Principles of Mathematical Problem Solving. Prentice-Hall, Upper Saddle River 1999.
6. Gupta, H. N.; Prestel, A.: Triangle and Schwarz inequality in Pasch-free Euclidean geometry. Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 20 (1972), 999-1003.
7. Hilbert, D.: Vorlesung über die Grundlagen der Geometrie. Göttingen, WS 1898-1899, ed. H. V. Schaper.
8. Klosinski, L. F.; Alexanderson, G. L.; Hillman, A. P.: The William Lowell Putnam Mathematical Competition. Amer. Math. Monthly 87 (1980), 634-640.
9. Mendris, R.; Zlatoš, P.: Axiomatization and undecidability results for metrizable betweenness relations. Proc. Amer. Math. Soc. 123 (1995), 873-882.
10. Moszyńska, M.: Theory of betweenness and equidistance relations in regular metric spaces. Fund. Math. 96 (1977), 17-29.
11. Prestel, A.: Euklidische Geometrie ohne das Axiom von Pasch. Abh. Math. Sem. Univ. Hamburg 41 (1974), 82-109.
12. Snapper, E.: An affine generalization of the Euler line. Comptes Rendus Math. Rep. Acad. Sci. Canada 1 (1978/1979), 279-281
13. and Amer. Math. Monthly 88 (1981), 196-198.
14. Szczerba, L. W.: Independence of Pasch's axiom. Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 18 (1970), 491-498.
15. Szczerba, L. W.; Tarski, A.: Metamathematical discussion of some affine geometries. Fund. Math. 104 (1979), 155-192.