Scientific Research Publishing

Euclid’s Fifth Postulate and Convergence of Non-Parallel Straight Lines ()

1 Department of Mathematics and Statistics, Islamic University in Uganda, Mbale, Uganda. 2 Department of Mathematics and Computer Science, University of Gezira, Wad-Medani, Sudan. Euclid’s first four ...
Scientific Research Publishing

Diaz, J.E. (2018) Fifth Postulate of Euclid and the Non-Euclidean Geometries. International Journal of Scientific and Engineering Research, 9, 530.

ABSTRACT: This paper proves Euclid’s fifth postulate and convergence of straight lines using the formula for the area of trapezoids and assuming straight lines, it derives a general formula for the ...
Nature

Euclid's Parallel Postulate: its Nature, Validity, and Place in Geometrical Systems

THIS is a philosophical thesis by a writer who is really familiar with the subject of non-Euclidean geometry, and as such it is well worth reading. The first three chapters are historical; the ...