𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on parallelism in affine geometry

✍ 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.

✦ Synopsis


Abstract

The uniqueness of the parallel lines is independent from the analogous statement on parallel planes and the usual further axioms of three‐dimensional affine geometry. MSC: 51A15, 03F65.


πŸ“œ SIMILAR VOLUMES


A Note on Almost Partial Geometries
✍ P.H. Fisher πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 51 KB

In this note we use some simple counting arguments to show that an almost partial geometry is always symmetric.

A note on parallel machine replacement
✍ Jen Tang; Kwei Tang πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 245 KB πŸ‘ 1 views
A Note on Embeddable F2-Geometries
✍ Stefan Heiss πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 122 KB

An embeddable F 2 -geometry 1 with embedding rank er(1)=4 is given, which has no generating set of size 4. 2000 Academic Press ## 1. Introduction Let 1=(P, L) be a point-line geometry with points P and lines L ( P 3 ) (i.e., every line has three points). A subset S P is called a subgeometry of 1

A further note on parallel machine repla
✍ Wallace J. Hopp; Philip C. Jones; James L. Zydiak πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 176 KB πŸ‘ 1 views