Tag: Euclidean

Machine Learning in a Non-Euclidean Space

What you will learn in this article. 1. There are different examples of non-Euclidean geometry, among them spherical geometry and hyperbolic geometry. 2. A hyperbolic space is a space of negative constant curvature. 3. There are different models of hyperbolic geometry, t...

Reality Check: Euclidean Geometry Debunks the Simulation Hypothesis

Euclidean Geometry, developed by the ancient Greek mathematician Euclid, forms the foundation of our understanding of space and shapes. It describes a two-dimensional plane where points, lines, and angles interact according to specific rules. These rules, known as Euclid’s axioms, govern the b...

Exploring the Elegance of Ceva’s Theorem in Euclidean Geometry

the theorem provides deep insights into the relationships among cevians in a triangle. In geometry, a cevian is a line segment that connects a vertex of a triangle to a point on the opposite side or its extension. Essentially, it’s a line drawn from any vertex of a triangle to a point on the o...

How did Einstein interpret Euclidean geometry?

Everyone knows that one of the greatest theories proposed by Albert Einstein was the Theory of Relativity. You’ve certainly heard of it, whether through the famous formula E= MC² or even the concept of Space-Time. What most people don’t know is that the theory of relativity is la...

Is Our Universe Euclidean or Non-Euclidean?

For the record, I am on the fence whether the universe is flat or curved (or the shape of a torus, sphere, etc.), but just like how we have discovered that the earth is not flat, it got me wondering and others questioning the familiar geometry that we know and love — Euclidean or “flat&r...