Abstract
Euclid's parallel postulate is shown to be equivalent to the conjunction of the following two weaker postulates: "Any perpendicular to one side of a right angle intersects any perpendicular to the other side" and "For any acute angle Oxy, the segment PQ - where P is a point on Ox, Q a point on Oy and PQ ⊥ Oy - grows indefinitely, i. e. can be made longer than any given segment".
| Original language | German |
|---|---|
| Pages (from-to) | 79-88 |
| Number of pages | 10 |
| Journal | Journal of Geometry |
| Volume | 51 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Nov 1994 |
| Externally published | Yes |
ASJC Scopus subject areas
- Geometry and Topology