Abstract
It is shown, by indicating how to construct one with ruler and gauge, that there are equilateral triangles in absolutes planes which need not satisfy the circle axiom. However, it is not possible to construct an equilateral triangle with given base in absolute planes, even if they satisfy BACHMANN'S Lotschnittaxiom or the Archimedean axiom.
| Original language | German |
|---|---|
| Pages (from-to) | 147-153 |
| Number of pages | 7 |
| Journal | Journal of Geometry |
| Volume | 63 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Jan 1 1998 |
ASJC Scopus subject areas
- Geometry and Topology