Scientific Research Publishing

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

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 area of ...
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 ...
transcontinentaltimes

Euclid’s Postulates: The Foundation of Modern Geometry

INDIA: Euclid’s Postulates serves as the foundation of modern Geometry. Talking about Geometry, it is the branch of mathematics concerned with the properties and relationships of points, lines, angles ...
Science Daily

Hyperbolic geometry

In mathematics, hyperbolic geometry is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is rejected. The parallel postulate in Euclidean geometry states, for two ...
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 ...