Postulates for Separation of Point-Pairs (Reversible Order on a Closed Line) Edward V. Huntington and Kurt E. Rosinger Proceedings of the American Academy of Arts and Sciences , pp. 61-145 (85 pages) ...

We completely settle the questions about implications between the three versions of the parallel postulate. The strong parallel postulate easily implies Euclid 5, and Euclid 5 also implies the strong ...

OF a mass of fluid satisfying the condition of continuity and having a continuous velocity field, the mathematical theory of fluid motion postulates that fluid elements—line, surface, volume ...

THIS little book is another attack on Euclid, and its main object is to exhibit an elementary course of geometry in a system of natural sequence—Euclid's order and method being, of course ...