TY - JOUR AU1 - Pambuccian, Victor AB - 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 segmentPQ — whereP is a point onO x, Q a point onO y andPQ ⊥ Oy — grows indefinitely, i. e. can be made longer than any given segment”. TI - Zum Stufenaufbau des Parallelenaxioms JF - Journal of Geometry DO - 10.1007/BF01226859 DA - 2005-02-10 UR - https://www.deepdyve.com/lp/springer-journals/zum-stufenaufbau-des-parallelenaxioms-pw5wcHNLKt SP - 79 EP - 88 VL - 51 IS - 2 DP - DeepDyve ER -