# Euclidean Space

In geometry, the concept of Euclidean space encompasses three-dimensional space and Euclidean plane as spaces of dimensions 3 and 2 respectively.

Also Euclidean spaces generalize to higher dimensions. **For Example:** euclidian space with n-tuples of real numbers, ($x_1$, $x_2$, $x_3$, ...., $x_n$) are called n-space or Cartesian space.

This theory is given by Euclid, the famous Greek Mathematician who is considered to be the father of Geometry.

Mathematically, n-dimensional Euclidian space is denoted as $\mathbb{E}$ or sometimes $\mathbb{R}$. In this section we will learn about Euclidean space in detail.