In this note we use some simple counting arguments to show that an almost partial geometry is always symmetric.
β¦ LIBER β¦
A note on parallelism in affine geometry
β Scribed by Peter Schreiber
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 122 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The uniqueness of the parallel lines is independent from the analogous statement on parallel planes and the usual further axioms of threeβdimensional affine geometry. MSC: 51A15, 03F65.
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