## Is hyperbolic geometry useful?

# Is hyperbolic geometry useful?

## Is hyperbolic geometry useful?

I am aware that, historically, hyperbolic geometry was useful in showing that there can be consistent geometries that satisfy the first 4 axioms of Euclid’s elements but not the fifth, the infamous parallel lines postulate, putting an end to centuries of unsuccesfull attempts to deduce the last axiom from the first …

### How is elliptic geometry used in real life?

Examples of elliptic geometry are more common in our real life than hyperbolic geometry. One example is the surface of Earth. A line in such a space becomes a great circle (a circle centered at earth’s core). You can imagine yourself being in a elliptic geometric space.

**What is Euclidean geometry used for?**

Despite its antiquity, it remains one of the most important theorems in mathematics. It enables one to calculate distances or, more important, to define distances in situations far more general than elementary geometry.

**What are the applications of non Euclidean geometry?**

Non Euclidean geometry has a considerable application in the scientific world. The concept of non Euclid geometry is used in cosmology to study the structure, origin, and constitution, and evolution of the universe. Non Euclid geometry is used to state the theory of relativity, where the space is curved.

## Do we live in hyperbolic space?

One of the major questions astronomers are trying to resolve, with instruments such as the Hubble Space Telescope, is what shape our universe has. While most of the large-scale evidence points to a Euclidean structure, there is some tantalising evidence that we might just live in a hyperbolic world.

### Who uses geometry in real life?

Applications of geometry in the real world include computer-aided design for construction blueprints, the design of assembly systems in manufacturing, nanotechnology, computer graphics, visual graphs, video game programming and virtual reality creation.

**How geometry is used in our daily life?**

The best use of geometry in daily life is the construction of the building, dams, rivers, roads, temples, etc. Smartphones, laptops, computers, etc are designed using geometrical concepts. In fact, the games we play also use geometry to find relevance between the distance and shapes of objects designed.