jessica098
New member
- Joined
- Oct 20, 2008
- Messages
- 15
Can anybody help me prove that there are exactly 12 lines in Young's geometry???
The proof must abide by the following axioms:
1. there exists at least one line in the geometry.
2. every line in the geometry has exactly three points on it.
3. not all points of the geometry are on the same line.
4. for each two distinct points, there exists exactly one line on both of them.
5. for each line l and each point P not on l,there exists exactly one line through P that does not contain any of the points on l.
Also, in Young's geometry, every line has exactly two lines that are parallel to it.
HELP PLEASE!!!
The proof must abide by the following axioms:
1. there exists at least one line in the geometry.
2. every line in the geometry has exactly three points on it.
3. not all points of the geometry are on the same line.
4. for each two distinct points, there exists exactly one line on both of them.
5. for each line l and each point P not on l,there exists exactly one line through P that does not contain any of the points on l.
Also, in Young's geometry, every line has exactly two lines that are parallel to it.
HELP PLEASE!!!