It is shown that the Laws of Pappus and Desargues may replace the Axiom of Projectivities in Menger's development of hyperbolic geometry from axioms of alignment. H.L. SKALA ## 2. MENGER'S AXIOMS We first list the axioms, nine in all, given by Menger et al. for the hyperbolic plane. (Points will
β¦ LIBER β¦
Geometric Axioms for the Hall Plane
β Scribed by Room, T. G.
- Book ID
- 120097695
- Publisher
- Oxford University Press
- Year
- 1973
- Tongue
- English
- Weight
- 144 KB
- Volume
- s2-6
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Projective-type axioms for the hyperboli
β
H. L. Skala
π
Article
π
1992
π
Springer
π
English
β 873 KB
Geometric axioms for existentially close
β
Piotr Kowalski
π
Article
π
2005
π
Elsevier Science
π
English
β 231 KB
Quantitative axioms for finite affine pl
β
Gunther Pabst
π
Article
π
1976
π
Elsevier Science
π
English
β 377 KB
2-metric Axioms for Plane Euclidean Geom
β
Patrick Cassens; B. A. Cassens
π
Article
π
1971
π
John Wiley and Sons
π
English
β 679 KB
If B(a, b, c), then -B ( a , c, b). A 8. If points a, b and c are collinear and distinct, then at least one of B ( a , b, c), B ( b , c, a) or B(c, a, b) is true. In view of T 2.2, T 2.3, and T 2.4 exactly one of B ( a , b, c), B ( b , c, a ) , B ( c , a , b) is true. T2.5. If B ( a , b, d ) and B
The non-planarity ofK5andK3,3as axioms f
β
Victor Pambuccian
π
Article
π
2012
π
Springer
π
English
β 164 KB
The symmetry axiom in Minkowski planes
β
J. Kosiorek; A. MatraΕ
π
Article
π
2006
π
Vandenhoeck & Ruprecht
π
German
β 597 KB