Zum Stufenaufbau des Parallelenaxioms

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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 languageGerman
Pages (from-to)79-88
Number of pages10
JournalJournal of Geometry
Volume51
Issue number1-2
DOIs
StatePublished - Nov 1 1994
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology

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