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 ...

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 ...

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 ...

The dance between lines, forever reaching but never touching, is a concept that has fascinated mathematicians for centuries. Parallel lines, those unwavering companions, hold a special place in ...

Hyperbolic space is a Pringle-like alternative to flat, Euclidean geometry where the normal rules don’t apply: angles of a triangle add up to less than 180 degrees and Euclid’s parallel postulate, ...