Non Euclidean Geometry

What is Meaning of Non Eucledian Geometry?

Non-Euclidean geometry refers to a set of geometrical systems that do not adhere to the postulates of Euclidean geometry, which is the classical geometry developed by the ancient Greek mathematician Euclid.

Is Earth Non Eucledian?

No, for practical purposes, Earth is considered to follow Euclidean geometry at small scales. However, on a global scale the space around the earth is considered to be Non-Euclidean

What is difference between Eucledian and Non Eucledian Geometry?

The Difference between Eclidean and Non-Euclidean Geometry is that Euclid Geometry follows postutalets of Euclid and deals with plane surfaces while Non-Euclidean Geometry deals with curved spaces

Is Universe Non-Eucledian?

The exact shape of Universe is not defibed till date. It is currently unknown if the universe is simply connected like euclidean space or multiply connected like a torus. This is the reason Universe is neither considered to be Eucledian or Non-Eucleadian.

Who is Founder of Non-Euclidean Geometry?

Bolayi Janos of Hungary and Lobachevsky are considered founder of Non-Euclidean Geometry

Who is Father of Geometry?

Euclid is regarded as Father of Geometry

What is Geodesics in Non-Euclidean Geometry?

In Non-Euclidean Geometry, Geodesics the shortest distance between two points on curved surface. It is analogous to the straight line in Euclidean Geometry

Non-Euclidean Geometry refers to the branch of mathematics that deals with the study of geometry on Curved Surfaces. It is a different way of studying shapes compared to what Euclid, an ancient mathematician, taught. There are two main types: hyperbolic and elliptic geometries. In these, we change the working of lines which gives us different shapes than usual. Hyperbolic shapes have a saddle-like curve, and elliptic shapes have a round curve.

In this article, we will understand the various concepts related to non-euclidean geometry like definition, the historical background of non-euclidean geometry, its principles, its application, and the types of noon-euclidean geometry.