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 ...

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 ...

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 ...

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 ...

I’m teaching an elementary course on linear algebraic groups. The main aim is not to prove a lot of theorems, but rather to give some sense of the main examples and the overall point of the subject. I ...