Essays on Geometry

Geometry is important in engineering science and mathematics. In order for students with prospects in such fields to have a better understanding of their career content, a solid background is needed in mathematical modules and units such as geometry. In this subject,...

I have always had a distinct predisposition for maths since the first day of elementary school. When we were taught about the Pythagorean Theorem in primary school, I was so fascinated that I spent the following week scrutinizing the triangular shadows cast by objects looking for material contradiction or validation,...

If : AXY X: AXYx is a coordinate chart, then let k=1k=1. Thus for any (n1,n2,…,nm)(m1,m2,…,xm)in the image of ϕϕ, a path of the kind t↦(x1,x2,…,t+xi,…xm)t↦(x1,x2,…,t+xi,…xm), is transformed, by kk, to a path in MM. Consider the tangent vector, vi(x1,...,xm)vi, at t=0t=0 (x1,...,xm). The vectors v1(x1,...,xm)...vm(x1,...,xm)v1(x1,...,xm)...vm(x1,...,xm) constitute the basis for...

One of the oldest branches of mathematics Geometry is concerned with the properties of space, including size, shape, and distance. It also focuses on the relationship between figures. Mathematicians who work in this field are known as geometers. This article explores some of the key terms and symbols used in geometry....