# Exciting World of Euclidean Geometry | Understanding, Compare & Daily lives

Euclidean is a branch of mathematics that deals with shapes and is created by the ancient Greek Mathematician Euclid. The exciting geometry is applied to our day to day life.

In Euclidean Geometry, we can find out about Exciting World of Euclidean Geometry | Understanding, Compare & Daily lives with different shapes, sizes, positions, angles, and how they are related to space.

## What is Euclidean Geometry?

This fascinating and most amazing Geometry is named after the “father of geometry” Euclid. It was discovered in the ancient civilization of Egypt and India when the need of measuring lands became an issue.

Euclid introduced this mind blowing chemistry with all its fundamentals, principles, and concepts into a book called ‘Elements’. All the details in the book like definitions, the axioms, the theorems, with proofs amazed the people and Euclidean Geometry became very popular and it will hold the same importance till the end of the world.

## Understanding Euclidean Geometry

Euclidean Geometry leaves a strong impression on the world as it opens the doors to more interesting mysteries of geometry. With the five basic principles of Euclidean Geometry, understanding the shapes and sizes becomes very easy to understand. This amazing geometry also helps in solving many complex issues/ideas easily.

Euclidean Geometry became very famous in mathematics history and it contributed in many fields including science, architecture, arts, and many more.

Euclidean Geometry holds a very important role in our daily lives. All the things around us are examples of Euclidean Geometry like buildings, bridges, furniture, rooms, art, architecture, boxes, cartons, etc. are designed by using Euclidean Geometry. Even when we look at nature, we will see many examples of this Geometry like in leaves, flowers, trees, fruits, vegetables, etc.

### Euclidean Geometry in daily lives

When it comes to Euclidean Geometry, it is not only used in studies but it is everywhere in our daily lives from different fields like science, architecture, art, to making bridges, computer science, photography, and creating navigation systems such as GPS.

## Compare Euclidean Geometry VS Non-Euclidean Geometry

Euclidean Geometry deals with flat shapes and surfaces, whereas Non-Euclidean Geometry deals with curved surfaces and spaces, but both have different principles and applications.

You can say that Euclidean Geometry is a lot easier to understand and apply in our day-to-day lives. Whereas, Non-Euclidean Geometry is more complex and used to solve complex problems like issues related to galaxies, etc.

## Conclusion

Hence, Euclidean Geometry is a vital branch of mathematics, and it plays a very important role in the development of the world.

In simple words, everything around us is Euclidean Geometry, for example, if you see a bridge, know that engineers used Euclidean Geometry principles to make sure that the bridge is safe and secure.

## Frequently Asked Questions

### What are the basic principles/postulates of Euclidean geometry?

The basic principles of Euclidean geometry are:

- A straight line can be drawn from point A to point B.
- The straight can be continuously extended from point A to point B.
- A circle can be drawn with any center and any radius.
- All right angles are congruent to one another.
- Euclid’s fifth postulate is called a parallel postulate. According to this postulate, if a line segment crosses two lines in such a way that the sum of their inner angles on the same side is less than two right angles (180°), then the lines will meet on that side.

### Are Euclidean geometry principles still applicable in the modern world?

Euclidean Geometry principles took the world by storm when they were introduced with their axiomatic methods, proofs, and usage in every field of the world, and many more. It is still used in the modern world in every field to solve complex issues.

### What is the difference between Euclidean and Non-Euclidean Geometry?

Euclidean Geometry deals with flat shapes and surfaces and is used to solve common mathematical issues, whereas Non-Euclidean geometry deals with curved surfaces and spaces and is used to solve bigger and more complex issues. Euclidean geometry and Non-Euclidean geometry, both have different principles and applications.